---
_id: '19307'
author:
- first_name: Eduard
  full_name: Penner, Eduard
  id: '27973'
  last_name: Penner
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Penner E, Caylak I, Mahnken R. A multivariate stochastic material model with
    correlated material parameters. <i>PAMM</i>. Published online 2018:67-68. doi:<a
    href="https://doi.org/10.1002/pamm.201710020">10.1002/pamm.201710020</a>
  apa: Penner, E., Caylak, I., &#38; Mahnken, R. (2018). A multivariate stochastic
    material model with correlated material parameters. <i>PAMM</i>, 67–68. <a href="https://doi.org/10.1002/pamm.201710020">https://doi.org/10.1002/pamm.201710020</a>
  bibtex: '@article{Penner_Caylak_Mahnken_2018, title={A multivariate stochastic material
    model with correlated material parameters}, DOI={<a href="https://doi.org/10.1002/pamm.201710020">10.1002/pamm.201710020</a>},
    journal={PAMM}, author={Penner, Eduard and Caylak, Ismail and Mahnken, Rolf},
    year={2018}, pages={67–68} }'
  chicago: Penner, Eduard, Ismail Caylak, and Rolf Mahnken. “A Multivariate Stochastic
    Material Model with Correlated Material Parameters.” <i>PAMM</i>, 2018, 67–68.
    <a href="https://doi.org/10.1002/pamm.201710020">https://doi.org/10.1002/pamm.201710020</a>.
  ieee: 'E. Penner, I. Caylak, and R. Mahnken, “A multivariate stochastic material
    model with correlated material parameters,” <i>PAMM</i>, pp. 67–68, 2018, doi:
    <a href="https://doi.org/10.1002/pamm.201710020">10.1002/pamm.201710020</a>.'
  mla: Penner, Eduard, et al. “A Multivariate Stochastic Material Model with Correlated
    Material Parameters.” <i>PAMM</i>, 2018, pp. 67–68, doi:<a href="https://doi.org/10.1002/pamm.201710020">10.1002/pamm.201710020</a>.
  short: E. Penner, I. Caylak, R. Mahnken, PAMM (2018) 67–68.
date_created: 2020-09-11T10:05:06Z
date_updated: 2023-01-24T14:12:42Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1002/pamm.201710020
language:
- iso: eng
page: 67-68
publication: PAMM
publication_identifier:
  issn:
  - 1617-7061
publication_status: published
status: public
title: A multivariate stochastic material model with correlated material parameters
type: journal_article
user_id: '335'
year: '2018'
...
---
_id: '19309'
author:
- first_name: Eduard
  full_name: Penner, Eduard
  id: '27973'
  last_name: Penner
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: 'Penner E, Caylak I, Mahnken R. MULTIDIMENSIONAL STOCHASTIC MATERIAL MODELING
    AT LARGE DEFORMATIONS CONSIDERING PARAMETER CORRELATIONS. In: <i>Proceedings of
    the 2nd International Conference on Uncertainty Quantification in Computational
    Sciences and Engineering (UNCECOMP 2017)</i>. ; 2017. doi:<a href="https://doi.org/10.7712/120217.5391.16785">10.7712/120217.5391.16785</a>'
  apa: Penner, E., Caylak, I., &#38; Mahnken, R. (2017). MULTIDIMENSIONAL STOCHASTIC
    MATERIAL MODELING AT LARGE DEFORMATIONS CONSIDERING PARAMETER CORRELATIONS. <i>Proceedings
    of the 2nd International Conference on Uncertainty Quantification in Computational
    Sciences and Engineering (UNCECOMP 2017)</i>. <a href="https://doi.org/10.7712/120217.5391.16785">https://doi.org/10.7712/120217.5391.16785</a>
  bibtex: '@inproceedings{Penner_Caylak_Mahnken_2017, title={MULTIDIMENSIONAL STOCHASTIC
    MATERIAL MODELING AT LARGE DEFORMATIONS CONSIDERING PARAMETER CORRELATIONS}, DOI={<a
    href="https://doi.org/10.7712/120217.5391.16785">10.7712/120217.5391.16785</a>},
    booktitle={Proceedings of the 2nd International Conference on Uncertainty Quantification
    in Computational Sciences and Engineering (UNCECOMP 2017)}, author={Penner, Eduard
    and Caylak, Ismail and Mahnken, Rolf}, year={2017} }'
  chicago: Penner, Eduard, Ismail Caylak, and Rolf Mahnken. “MULTIDIMENSIONAL STOCHASTIC
    MATERIAL MODELING AT LARGE DEFORMATIONS CONSIDERING PARAMETER CORRELATIONS.” In
    <i>Proceedings of the 2nd International Conference on Uncertainty Quantification
    in Computational Sciences and Engineering (UNCECOMP 2017)</i>, 2017. <a href="https://doi.org/10.7712/120217.5391.16785">https://doi.org/10.7712/120217.5391.16785</a>.
  ieee: 'E. Penner, I. Caylak, and R. Mahnken, “MULTIDIMENSIONAL STOCHASTIC MATERIAL
    MODELING AT LARGE DEFORMATIONS CONSIDERING PARAMETER CORRELATIONS,” 2017, doi:
    <a href="https://doi.org/10.7712/120217.5391.16785">10.7712/120217.5391.16785</a>.'
  mla: Penner, Eduard, et al. “MULTIDIMENSIONAL STOCHASTIC MATERIAL MODELING AT LARGE
    DEFORMATIONS CONSIDERING PARAMETER CORRELATIONS.” <i>Proceedings of the 2nd International
    Conference on Uncertainty Quantification in Computational Sciences and Engineering
    (UNCECOMP 2017)</i>, 2017, doi:<a href="https://doi.org/10.7712/120217.5391.16785">10.7712/120217.5391.16785</a>.
  short: 'E. Penner, I. Caylak, R. Mahnken, in: Proceedings of the 2nd International
    Conference on Uncertainty Quantification in Computational Sciences and Engineering
    (UNCECOMP 2017), 2017.'
date_created: 2020-09-11T10:15:16Z
date_updated: 2023-01-24T14:15:30Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.7712/120217.5391.16785
language:
- iso: eng
publication: Proceedings of the 2nd International Conference on Uncertainty Quantification
  in Computational Sciences and Engineering (UNCECOMP 2017)
publication_identifier:
  isbn:
  - '9786188284449'
publication_status: published
quality_controlled: '1'
status: public
title: MULTIDIMENSIONAL STOCHASTIC MATERIAL MODELING AT LARGE DEFORMATIONS CONSIDERING
  PARAMETER CORRELATIONS
type: conference
user_id: '335'
year: '2017'
...
---
_id: '24644'
abstract:
- lang: eng
  text: This paper presents a numerical method for solution of a stochastic partial
    differential equation (SPDE) for a linear elastic body with stochastic coefficients
    (random variables and/or random fields). To this end the stochastic finite element
    method (SFEM) is employed, which uses W IENER’S polynomial chaos expansion in
    order to decompose the coefficients into deterministic and stochastic parts. As
    a special case, we consider isotropic material behavior with two fluctuating parameters.
    Computational approaches involving GALERKIN projection are applied to reduce the
    SPDE into a system of deterministic PDEs. Furthermore, we consider normally distributed
    random variables, which are assumed to be stochastically independent, and which
    establish the number of stochastic dimensions. Subsequently, the resulting finite
    element equation is solved iteratively. Finally, in a representative example for
    a plate with a ring hole we study the influence of different variances for material
    parameters on the variances for the finite element results.
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
- first_name: Alex
  full_name: Dridger, Alex
  last_name: Dridger
citation:
  ama: Mahnken R, Caylak I, Dridger A. A Stochastic Finite Element Method with a Deviatoric-volumetric
    Split for the Stochastic Linear Isotropic Elasticity Tensor. <i>A Stochastic Finite
    Element Method with a Deviatoric-volumetric Split for the Stochastic Linear Isotropic
    Elasticity Tensor</i>. Published online 2016. doi:<a href="https://doi.org/10.24352/UB.OVGU-2017-003">10.24352/UB.OVGU-2017-003</a>
  apa: Mahnken, R., Caylak, I., &#38; Dridger, A. (2016). A Stochastic Finite Element
    Method with a Deviatoric-volumetric Split for the Stochastic Linear Isotropic
    Elasticity Tensor. <i>A Stochastic Finite Element Method with a Deviatoric-Volumetric
    Split for the Stochastic Linear Isotropic Elasticity Tensor</i>. <a href="https://doi.org/10.24352/UB.OVGU-2017-003">https://doi.org/10.24352/UB.OVGU-2017-003</a>
  bibtex: '@article{Mahnken_Caylak_Dridger_2016, title={A Stochastic Finite Element
    Method with a Deviatoric-volumetric Split for the Stochastic Linear Isotropic
    Elasticity Tensor}, DOI={<a href="https://doi.org/10.24352/UB.OVGU-2017-003">10.24352/UB.OVGU-2017-003</a>},
    journal={A Stochastic Finite Element Method with a Deviatoric-volumetric Split
    for the Stochastic Linear Isotropic Elasticity Tensor}, author={Mahnken, Rolf
    and Caylak, Ismail and Dridger, Alex}, year={2016} }'
  chicago: Mahnken, Rolf, Ismail Caylak, and Alex Dridger. “A Stochastic Finite Element
    Method with a Deviatoric-Volumetric Split for the Stochastic Linear Isotropic
    Elasticity Tensor.” <i>A Stochastic Finite Element Method with a Deviatoric-Volumetric
    Split for the Stochastic Linear Isotropic Elasticity Tensor</i>, 2016. <a href="https://doi.org/10.24352/UB.OVGU-2017-003">https://doi.org/10.24352/UB.OVGU-2017-003</a>.
  ieee: 'R. Mahnken, I. Caylak, and A. Dridger, “A Stochastic Finite Element Method
    with a Deviatoric-volumetric Split for the Stochastic Linear Isotropic Elasticity
    Tensor,” <i>A Stochastic Finite Element Method with a Deviatoric-volumetric Split
    for the Stochastic Linear Isotropic Elasticity Tensor</i>, 2016, doi: <a href="https://doi.org/10.24352/UB.OVGU-2017-003">10.24352/UB.OVGU-2017-003</a>.'
  mla: Mahnken, Rolf, et al. “A Stochastic Finite Element Method with a Deviatoric-Volumetric
    Split for the Stochastic Linear Isotropic Elasticity Tensor.” <i>A Stochastic
    Finite Element Method with a Deviatoric-Volumetric Split for the Stochastic Linear
    Isotropic Elasticity Tensor</i>, 2016, doi:<a href="https://doi.org/10.24352/UB.OVGU-2017-003">10.24352/UB.OVGU-2017-003</a>.
  short: R. Mahnken, I. Caylak, A. Dridger, A Stochastic Finite Element Method with
    a Deviatoric-Volumetric Split for the Stochastic Linear Isotropic Elasticity Tensor
    (2016).
date_created: 2021-09-17T10:09:52Z
date_updated: 2023-01-24T14:22:25Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.24352/UB.OVGU-2017-003
language:
- iso: eng
publication: A Stochastic Finite Element Method with a Deviatoric-volumetric Split
  for the Stochastic Linear Isotropic Elasticity Tensor
quality_controlled: '1'
status: public
title: A Stochastic Finite Element Method with a Deviatoric-volumetric Split for the
  Stochastic Linear Isotropic Elasticity Tensor
type: journal_article
user_id: '335'
year: '2016'
...
---
_id: '19128'
author:
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
- first_name: Nicole
  full_name: Nörenberg, Nicole
  last_name: Nörenberg
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Caylak I, Nörenberg N, Mahnken R. PC expansion for material parameters using
    artificial data and statistical methods. <i>PAMM</i>. Published online 2016:191-192.
    doi:<a href="https://doi.org/10.1002/pamm.201610084">10.1002/pamm.201610084</a>
  apa: Caylak, I., Nörenberg, N., &#38; Mahnken, R. (2016). PC expansion for material
    parameters using artificial data and statistical methods. <i>PAMM</i>, 191–192.
    <a href="https://doi.org/10.1002/pamm.201610084">https://doi.org/10.1002/pamm.201610084</a>
  bibtex: '@article{Caylak_Nörenberg_Mahnken_2016, title={PC expansion for material
    parameters using artificial data and statistical methods}, DOI={<a href="https://doi.org/10.1002/pamm.201610084">10.1002/pamm.201610084</a>},
    journal={PAMM}, author={Caylak, Ismail and Nörenberg, Nicole and Mahnken, Rolf},
    year={2016}, pages={191–192} }'
  chicago: Caylak, Ismail, Nicole Nörenberg, and Rolf Mahnken. “PC Expansion for Material
    Parameters Using Artificial Data and Statistical Methods.” <i>PAMM</i>, 2016,
    191–92. <a href="https://doi.org/10.1002/pamm.201610084">https://doi.org/10.1002/pamm.201610084</a>.
  ieee: 'I. Caylak, N. Nörenberg, and R. Mahnken, “PC expansion for material parameters
    using artificial data and statistical methods,” <i>PAMM</i>, pp. 191–192, 2016,
    doi: <a href="https://doi.org/10.1002/pamm.201610084">10.1002/pamm.201610084</a>.'
  mla: Caylak, Ismail, et al. “PC Expansion for Material Parameters Using Artificial
    Data and Statistical Methods.” <i>PAMM</i>, 2016, pp. 191–92, doi:<a href="https://doi.org/10.1002/pamm.201610084">10.1002/pamm.201610084</a>.
  short: I. Caylak, N. Nörenberg, R. Mahnken, PAMM (2016) 191–192.
date_created: 2020-09-08T10:27:20Z
date_updated: 2023-01-24T14:16:32Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1002/pamm.201610084
language:
- iso: eng
page: 191-192
publication: PAMM
publication_identifier:
  issn:
  - 1617-7061
publication_status: published
status: public
title: PC expansion for material parameters using artificial data and statistical
  methods
type: journal_article
user_id: '335'
year: '2016'
...
---
_id: '19117'
author:
- first_name: Alex
  full_name: Dridger, Alex
  last_name: Dridger
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Dridger A, Caylak I, Mahnken R. A linear elastic Fuzzy Finite Element Method
    with two fuzzy input parameters. <i>PAMM</i>. Published online 2016:667-668. doi:<a
    href="https://doi.org/10.1002/pamm.201610322">10.1002/pamm.201610322</a>
  apa: Dridger, A., Caylak, I., &#38; Mahnken, R. (2016). A linear elastic Fuzzy Finite
    Element Method with two fuzzy input parameters. <i>PAMM</i>, 667–668. <a href="https://doi.org/10.1002/pamm.201610322">https://doi.org/10.1002/pamm.201610322</a>
  bibtex: '@article{Dridger_Caylak_Mahnken_2016, title={A linear elastic Fuzzy Finite
    Element Method with two fuzzy input parameters}, DOI={<a href="https://doi.org/10.1002/pamm.201610322">10.1002/pamm.201610322</a>},
    journal={PAMM}, author={Dridger, Alex and Caylak, Ismail and Mahnken, Rolf}, year={2016},
    pages={667–668} }'
  chicago: Dridger, Alex, Ismail Caylak, and Rolf Mahnken. “A Linear Elastic Fuzzy
    Finite Element Method with Two Fuzzy Input Parameters.” <i>PAMM</i>, 2016, 667–68.
    <a href="https://doi.org/10.1002/pamm.201610322">https://doi.org/10.1002/pamm.201610322</a>.
  ieee: 'A. Dridger, I. Caylak, and R. Mahnken, “A linear elastic Fuzzy Finite Element
    Method with two fuzzy input parameters,” <i>PAMM</i>, pp. 667–668, 2016, doi:
    <a href="https://doi.org/10.1002/pamm.201610322">10.1002/pamm.201610322</a>.'
  mla: Dridger, Alex, et al. “A Linear Elastic Fuzzy Finite Element Method with Two
    Fuzzy Input Parameters.” <i>PAMM</i>, 2016, pp. 667–68, doi:<a href="https://doi.org/10.1002/pamm.201610322">10.1002/pamm.201610322</a>.
  short: A. Dridger, I. Caylak, R. Mahnken, PAMM (2016) 667–668.
date_created: 2020-09-08T10:22:32Z
date_updated: 2023-01-24T14:17:57Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1002/pamm.201610322
language:
- iso: eng
page: 667-668
publication: PAMM
publication_identifier:
  issn:
  - 1617-7061
publication_status: published
status: public
title: A linear elastic Fuzzy Finite Element Method with two fuzzy input parameters
type: journal_article
user_id: '335'
year: '2016'
...
---
_id: '19127'
author:
- first_name: Eduard
  full_name: Penner, Eduard
  id: '27973'
  last_name: Penner
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
- first_name: Nicole
  full_name: Nörenberg, Nicole
  last_name: Nörenberg
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Penner E, Caylak I, Nörenberg N, Mahnken R. SFEM for rubber-like materials
    at large deformations. <i>PAMM</i>. Published online 2016:675-676. doi:<a href="https://doi.org/10.1002/pamm.201610326">10.1002/pamm.201610326</a>
  apa: Penner, E., Caylak, I., Nörenberg, N., &#38; Mahnken, R. (2016). SFEM for rubber-like
    materials at large deformations. <i>PAMM</i>, 675–676. <a href="https://doi.org/10.1002/pamm.201610326">https://doi.org/10.1002/pamm.201610326</a>
  bibtex: '@article{Penner_Caylak_Nörenberg_Mahnken_2016, title={SFEM for rubber-like
    materials at large deformations}, DOI={<a href="https://doi.org/10.1002/pamm.201610326">10.1002/pamm.201610326</a>},
    journal={PAMM}, author={Penner, Eduard and Caylak, Ismail and Nörenberg, Nicole
    and Mahnken, Rolf}, year={2016}, pages={675–676} }'
  chicago: Penner, Eduard, Ismail Caylak, Nicole Nörenberg, and Rolf Mahnken. “SFEM
    for Rubber-like Materials at Large Deformations.” <i>PAMM</i>, 2016, 675–76. <a
    href="https://doi.org/10.1002/pamm.201610326">https://doi.org/10.1002/pamm.201610326</a>.
  ieee: 'E. Penner, I. Caylak, N. Nörenberg, and R. Mahnken, “SFEM for rubber-like
    materials at large deformations,” <i>PAMM</i>, pp. 675–676, 2016, doi: <a href="https://doi.org/10.1002/pamm.201610326">10.1002/pamm.201610326</a>.'
  mla: Penner, Eduard, et al. “SFEM for Rubber-like Materials at Large Deformations.”
    <i>PAMM</i>, 2016, pp. 675–76, doi:<a href="https://doi.org/10.1002/pamm.201610326">10.1002/pamm.201610326</a>.
  short: E. Penner, I. Caylak, N. Nörenberg, R. Mahnken, PAMM (2016) 675–676.
date_created: 2020-09-08T10:26:58Z
date_updated: 2023-01-24T14:17:18Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1002/pamm.201610326
language:
- iso: eng
page: 675-676
publication: PAMM
publication_identifier:
  issn:
  - 1617-7061
publication_status: published
status: public
title: SFEM for rubber-like materials at large deformations
type: journal_article
user_id: '335'
year: '2016'
...
---
_id: '19134'
author:
- first_name: Alex
  full_name: Dridger, Alex
  last_name: Dridger
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Dridger A, Caylak I, Mahnken R. Uncertainty quantification for linear elastic
    bodies with two fluctuating input parameters. <i>PAMM</i>. Published online 2015:551-552.
    doi:<a href="https://doi.org/10.1002/pamm.201510266">10.1002/pamm.201510266</a>
  apa: Dridger, A., Caylak, I., &#38; Mahnken, R. (2015). Uncertainty quantification
    for linear elastic bodies with two fluctuating input parameters. <i>PAMM</i>,
    551–552. <a href="https://doi.org/10.1002/pamm.201510266">https://doi.org/10.1002/pamm.201510266</a>
  bibtex: '@article{Dridger_Caylak_Mahnken_2015, title={Uncertainty quantification
    for linear elastic bodies with two fluctuating input parameters}, DOI={<a href="https://doi.org/10.1002/pamm.201510266">10.1002/pamm.201510266</a>},
    journal={PAMM}, author={Dridger, Alex and Caylak, Ismail and Mahnken, Rolf}, year={2015},
    pages={551–552} }'
  chicago: Dridger, Alex, Ismail Caylak, and Rolf Mahnken. “Uncertainty Quantification
    for Linear Elastic Bodies with Two Fluctuating Input Parameters.” <i>PAMM</i>,
    2015, 551–52. <a href="https://doi.org/10.1002/pamm.201510266">https://doi.org/10.1002/pamm.201510266</a>.
  ieee: 'A. Dridger, I. Caylak, and R. Mahnken, “Uncertainty quantification for linear
    elastic bodies with two fluctuating input parameters,” <i>PAMM</i>, pp. 551–552,
    2015, doi: <a href="https://doi.org/10.1002/pamm.201510266">10.1002/pamm.201510266</a>.'
  mla: Dridger, Alex, et al. “Uncertainty Quantification for Linear Elastic Bodies
    with Two Fluctuating Input Parameters.” <i>PAMM</i>, 2015, pp. 551–52, doi:<a
    href="https://doi.org/10.1002/pamm.201510266">10.1002/pamm.201510266</a>.
  short: A. Dridger, I. Caylak, R. Mahnken, PAMM (2015) 551–552.
date_created: 2020-09-08T10:30:19Z
date_updated: 2023-01-24T14:28:20Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1002/pamm.201510266
language:
- iso: eng
page: 551-552
publication: PAMM
publication_identifier:
  issn:
  - 1617-7061
publication_status: published
status: public
title: Uncertainty quantification for linear elastic bodies with two fluctuating input
  parameters
type: journal_article
user_id: '335'
year: '2015'
...
---
_id: '19131'
author:
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
- first_name: Alex
  full_name: Dridger, Alex
  last_name: Dridger
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Caylak I, Dridger A, Mahnken R. Non-linear Stochastic Finite Element. <i>PAMM</i>.
    Published online 2015:179-180. doi:<a href="https://doi.org/10.1002/pamm.201510080">10.1002/pamm.201510080</a>
  apa: Caylak, I., Dridger, A., &#38; Mahnken, R. (2015). Non-linear Stochastic Finite
    Element. <i>PAMM</i>, 179–180. <a href="https://doi.org/10.1002/pamm.201510080">https://doi.org/10.1002/pamm.201510080</a>
  bibtex: '@article{Caylak_Dridger_Mahnken_2015, title={Non-linear Stochastic Finite
    Element}, DOI={<a href="https://doi.org/10.1002/pamm.201510080">10.1002/pamm.201510080</a>},
    journal={PAMM}, author={Caylak, Ismail and Dridger, Alex and Mahnken, Rolf}, year={2015},
    pages={179–180} }'
  chicago: Caylak, Ismail, Alex Dridger, and Rolf Mahnken. “Non-Linear Stochastic
    Finite Element.” <i>PAMM</i>, 2015, 179–80. <a href="https://doi.org/10.1002/pamm.201510080">https://doi.org/10.1002/pamm.201510080</a>.
  ieee: 'I. Caylak, A. Dridger, and R. Mahnken, “Non-linear Stochastic Finite Element,”
    <i>PAMM</i>, pp. 179–180, 2015, doi: <a href="https://doi.org/10.1002/pamm.201510080">10.1002/pamm.201510080</a>.'
  mla: Caylak, Ismail, et al. “Non-Linear Stochastic Finite Element.” <i>PAMM</i>,
    2015, pp. 179–80, doi:<a href="https://doi.org/10.1002/pamm.201510080">10.1002/pamm.201510080</a>.
  short: I. Caylak, A. Dridger, R. Mahnken, PAMM (2015) 179–180.
date_created: 2020-09-08T10:28:40Z
date_updated: 2023-01-24T14:28:53Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1002/pamm.201510080
language:
- iso: eng
page: 179-180
publication: PAMM
publication_identifier:
  issn:
  - 1617-7061
publication_status: published
status: public
title: Non-linear Stochastic Finite Element
type: journal_article
user_id: '335'
year: '2015'
...
---
_id: '24707'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n               <jats:p>The alignment
    of polymer chains is a well known microstructural evolution effect due to straining
    of polymers. This has a drastic influence on the macroscopic properties of the
    initially isotropic material. In this work, cold forming is performed at room
    temperature on a tensile testing machine. Polycarbonate films are examined in
    two loading phases. In the first phase, the specimen is loaded to induce anisotropy,
    and in the second, it is re-loaded, while the material direction is varied. The
    investigations are supported by an optical measurement system to gain knowledge
    about the inhomogeneous material behavior in the initial loading phase and about
    the anisotropic homogeneous behavior during the re-loading phase. Two dimensional
    strain contours are obtained from the test data. Additionally, we propose a method
    for approximation of the macroscopic true stress and compare the results with
    a common approach based on volume consistency. In the future, the test data will
    set a basis for parameter identification of constitutive equations taking into
    account a combination of inhomogenous and homogenous material behavior, exhibiting
    strain induced anisotropy.</jats:p>"
author:
- first_name: C.
  full_name: Dammann, C.
  last_name: Dammann
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Dammann C, Caylak I, Mahnken R. Experimental Investigation of PC-Films Using
    Optical Measurements. <i>International Polymer Processing</i>. Published online
    2014:260-271. doi:<a href="https://doi.org/10.3139/217.2848">10.3139/217.2848</a>
  apa: Dammann, C., Caylak, I., &#38; Mahnken, R. (2014). Experimental Investigation
    of PC-Films Using Optical Measurements. <i>International Polymer Processing</i>,
    260–271. <a href="https://doi.org/10.3139/217.2848">https://doi.org/10.3139/217.2848</a>
  bibtex: '@article{Dammann_Caylak_Mahnken_2014, title={Experimental Investigation
    of PC-Films Using Optical Measurements}, DOI={<a href="https://doi.org/10.3139/217.2848">10.3139/217.2848</a>},
    journal={International Polymer Processing}, author={Dammann, C. and Caylak, Ismail
    and Mahnken, Rolf}, year={2014}, pages={260–271} }'
  chicago: Dammann, C., Ismail Caylak, and Rolf Mahnken. “Experimental Investigation
    of PC-Films Using Optical Measurements.” <i>International Polymer Processing</i>,
    2014, 260–71. <a href="https://doi.org/10.3139/217.2848">https://doi.org/10.3139/217.2848</a>.
  ieee: 'C. Dammann, I. Caylak, and R. Mahnken, “Experimental Investigation of PC-Films
    Using Optical Measurements,” <i>International Polymer Processing</i>, pp. 260–271,
    2014, doi: <a href="https://doi.org/10.3139/217.2848">10.3139/217.2848</a>.'
  mla: Dammann, C., et al. “Experimental Investigation of PC-Films Using Optical Measurements.”
    <i>International Polymer Processing</i>, 2014, pp. 260–71, doi:<a href="https://doi.org/10.3139/217.2848">10.3139/217.2848</a>.
  short: C. Dammann, I. Caylak, R. Mahnken, International Polymer Processing (2014)
    260–271.
date_created: 2021-09-20T11:32:58Z
date_updated: 2023-01-24T15:06:40Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.3139/217.2848
language:
- iso: eng
page: 260-271
publication: International Polymer Processing
publication_identifier:
  issn:
  - 2195-8602
  - 0930-777X
publication_status: published
quality_controlled: '1'
status: public
title: Experimental Investigation of PC-Films Using Optical Measurements
type: journal_article
user_id: '335'
year: '2014'
...
---
_id: '19116'
author:
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Caylak I, Mahnken R. Stabilized mixed triangular elements with area bubble
    functions at small and large deformations. <i>Computers &#38; Structures</i>.
    Published online 2014:172-182. doi:<a href="https://doi.org/10.1016/j.compstruc.2014.01.006">10.1016/j.compstruc.2014.01.006</a>
  apa: Caylak, I., &#38; Mahnken, R. (2014). Stabilized mixed triangular elements
    with area bubble functions at small and large deformations. <i>Computers &#38;
    Structures</i>, 172–182. <a href="https://doi.org/10.1016/j.compstruc.2014.01.006">https://doi.org/10.1016/j.compstruc.2014.01.006</a>
  bibtex: '@article{Caylak_Mahnken_2014, title={Stabilized mixed triangular elements
    with area bubble functions at small and large deformations}, DOI={<a href="https://doi.org/10.1016/j.compstruc.2014.01.006">10.1016/j.compstruc.2014.01.006</a>},
    journal={Computers &#38; Structures}, author={Caylak, Ismail and Mahnken, Rolf},
    year={2014}, pages={172–182} }'
  chicago: Caylak, Ismail, and Rolf Mahnken. “Stabilized Mixed Triangular Elements
    with Area Bubble Functions at Small and Large Deformations.” <i>Computers &#38;
    Structures</i>, 2014, 172–82. <a href="https://doi.org/10.1016/j.compstruc.2014.01.006">https://doi.org/10.1016/j.compstruc.2014.01.006</a>.
  ieee: 'I. Caylak and R. Mahnken, “Stabilized mixed triangular elements with area
    bubble functions at small and large deformations,” <i>Computers &#38; Structures</i>,
    pp. 172–182, 2014, doi: <a href="https://doi.org/10.1016/j.compstruc.2014.01.006">10.1016/j.compstruc.2014.01.006</a>.'
  mla: Caylak, Ismail, and Rolf Mahnken. “Stabilized Mixed Triangular Elements with
    Area Bubble Functions at Small and Large Deformations.” <i>Computers &#38; Structures</i>,
    2014, pp. 172–82, doi:<a href="https://doi.org/10.1016/j.compstruc.2014.01.006">10.1016/j.compstruc.2014.01.006</a>.
  short: I. Caylak, R. Mahnken, Computers &#38; Structures (2014) 172–182.
date_created: 2020-09-08T10:21:52Z
date_updated: 2023-01-24T15:07:01Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1016/j.compstruc.2014.01.006
language:
- iso: eng
page: 172-182
publication: Computers & Structures
publication_identifier:
  issn:
  - 0045-7949
publication_status: published
quality_controlled: '1'
status: public
title: Stabilized mixed triangular elements with area bubble functions at small and
  large deformations
type: journal_article
user_id: '335'
year: '2014'
...
---
_id: '19132'
author:
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Caylak I, Mahnken R. Modeling of induced anisotropy at large deformations for
    polymers. <i>PAMM</i>. Published online 2012:319-320. doi:<a href="https://doi.org/10.1002/pamm.201210149">10.1002/pamm.201210149</a>
  apa: Caylak, I., &#38; Mahnken, R. (2012). Modeling of induced anisotropy at large
    deformations for polymers. <i>PAMM</i>, 319–320. <a href="https://doi.org/10.1002/pamm.201210149">https://doi.org/10.1002/pamm.201210149</a>
  bibtex: '@article{Caylak_Mahnken_2012, title={Modeling of induced anisotropy at
    large deformations for polymers}, DOI={<a href="https://doi.org/10.1002/pamm.201210149">10.1002/pamm.201210149</a>},
    journal={PAMM}, author={Caylak, Ismail and Mahnken, Rolf}, year={2012}, pages={319–320}
    }'
  chicago: Caylak, Ismail, and Rolf Mahnken. “Modeling of Induced Anisotropy at Large
    Deformations for Polymers.” <i>PAMM</i>, 2012, 319–20. <a href="https://doi.org/10.1002/pamm.201210149">https://doi.org/10.1002/pamm.201210149</a>.
  ieee: 'I. Caylak and R. Mahnken, “Modeling of induced anisotropy at large deformations
    for polymers,” <i>PAMM</i>, pp. 319–320, 2012, doi: <a href="https://doi.org/10.1002/pamm.201210149">10.1002/pamm.201210149</a>.'
  mla: Caylak, Ismail, and Rolf Mahnken. “Modeling of Induced Anisotropy at Large
    Deformations for Polymers.” <i>PAMM</i>, 2012, pp. 319–20, doi:<a href="https://doi.org/10.1002/pamm.201210149">10.1002/pamm.201210149</a>.
  short: I. Caylak, R. Mahnken, PAMM (2012) 319–320.
date_created: 2020-09-08T10:28:55Z
date_updated: 2023-01-24T15:11:03Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/pamm.201210149
language:
- iso: eng
page: 319-320
publication: PAMM
publication_identifier:
  issn:
  - 1617-7061
publication_status: published
status: public
title: Modeling of induced anisotropy at large deformations for polymers
type: journal_article
user_id: '335'
year: '2012'
...
---
_id: '19187'
author:
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
citation:
  ama: Caylak I. <i>Stabilized Mixed Triangular and Tetrahedral Finite Elements with
    Volume and Area Bubble Functions</i>. Vol Band 4. Shaker; 2011.
  apa: Caylak, I. (2011). <i>Stabilized Mixed Triangular and Tetrahedral Finite Elements
    with Volume and Area Bubble Functions</i> (Vol. Band 4). Shaker.
  bibtex: '@book{Caylak_2011, series={Schriften des Lehrstuhls für Technische Mechanik},
    title={Stabilized Mixed Triangular and Tetrahedral Finite Elements with Volume
    and Area Bubble Functions}, volume={Band 4}, publisher={Shaker}, author={Caylak,
    Ismail}, year={2011}, collection={Schriften des Lehrstuhls für Technische Mechanik}
    }'
  chicago: Caylak, Ismail. <i>Stabilized Mixed Triangular and Tetrahedral Finite Elements
    with Volume and Area Bubble Functions</i>. Vol. Band 4. Schriften Des Lehrstuhls
    Für Technische Mechanik. Shaker, 2011.
  ieee: I. Caylak, <i>Stabilized Mixed Triangular and Tetrahedral Finite Elements
    with Volume and Area Bubble Functions</i>, vol. Band 4. Shaker, 2011.
  mla: Caylak, Ismail. <i>Stabilized Mixed Triangular and Tetrahedral Finite Elements
    with Volume and Area Bubble Functions</i>. Vol. Band 4, Shaker, 2011.
  short: I. Caylak, Stabilized Mixed Triangular and Tetrahedral Finite Elements with
    Volume and Area Bubble Functions, Shaker, 2011.
date_created: 2020-09-09T08:59:55Z
date_updated: 2022-01-06T06:53:59Z
department:
- _id: '154'
extern: '1'
language:
- iso: eng
page: 158 Seiten
publication_identifier:
  isbn:
  - 978-3-8440-0084-9
publication_status: published
publisher: Shaker
series_title: Schriften des Lehrstuhls für Technische Mechanik
status: public
supervisor:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
title: Stabilized Mixed Triangular and Tetrahedral Finite Elements with Volume and
  Area Bubble Functions
type: dissertation
user_id: '75'
volume: Band 4
year: '2011'
...
---
_id: '25088'
author:
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Caylak I, Mahnken R. Mixed finite element formulations with volume bubble functions
    for triangular elements. <i>Computers &#38; Structures</i>. Published online 2011:1844-1851.
    doi:<a href="https://doi.org/10.1016/j.compstruc.2011.07.004">10.1016/j.compstruc.2011.07.004</a>
  apa: Caylak, I., &#38; Mahnken, R. (2011). Mixed finite element formulations with
    volume bubble functions for triangular elements. <i>Computers &#38; Structures</i>,
    1844–1851. <a href="https://doi.org/10.1016/j.compstruc.2011.07.004">https://doi.org/10.1016/j.compstruc.2011.07.004</a>
  bibtex: '@article{Caylak_Mahnken_2011, title={Mixed finite element formulations
    with volume bubble functions for triangular elements}, DOI={<a href="https://doi.org/10.1016/j.compstruc.2011.07.004">10.1016/j.compstruc.2011.07.004</a>},
    journal={Computers &#38; Structures}, author={Caylak, Ismail and Mahnken, Rolf},
    year={2011}, pages={1844–1851} }'
  chicago: Caylak, Ismail, and Rolf Mahnken. “Mixed Finite Element Formulations with
    Volume Bubble Functions for Triangular Elements.” <i>Computers &#38; Structures</i>,
    2011, 1844–51. <a href="https://doi.org/10.1016/j.compstruc.2011.07.004">https://doi.org/10.1016/j.compstruc.2011.07.004</a>.
  ieee: 'I. Caylak and R. Mahnken, “Mixed finite element formulations with volume
    bubble functions for triangular elements,” <i>Computers &#38; Structures</i>,
    pp. 1844–1851, 2011, doi: <a href="https://doi.org/10.1016/j.compstruc.2011.07.004">10.1016/j.compstruc.2011.07.004</a>.'
  mla: Caylak, Ismail, and Rolf Mahnken. “Mixed Finite Element Formulations with Volume
    Bubble Functions for Triangular Elements.” <i>Computers &#38; Structures</i>,
    2011, pp. 1844–51, doi:<a href="https://doi.org/10.1016/j.compstruc.2011.07.004">10.1016/j.compstruc.2011.07.004</a>.
  short: I. Caylak, R. Mahnken, Computers &#38; Structures (2011) 1844–1851.
date_created: 2021-09-28T13:06:08Z
date_updated: 2023-01-24T15:13:34Z
department:
- _id: '9'
- _id: '154'
doi: 10.1016/j.compstruc.2011.07.004
language:
- iso: eng
page: 1844-1851
publication: Computers & Structures
publication_identifier:
  issn:
  - 0045-7949
publication_status: published
quality_controlled: '1'
status: public
title: Mixed finite element formulations with volume bubble functions for triangular
  elements
type: journal_article
user_id: '335'
year: '2011'
...
---
_id: '19129'
author:
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: Kai-Uwe
  full_name: Widany, Kai-Uwe
  last_name: Widany
citation:
  ama: Caylak I, Mahnken R, Widany K-U. Stabilized mixed triangular finite elements
    at large deformations using area bubble functions. <i>PAMM</i>. Published online
    2011:201-202. doi:<a href="https://doi.org/10.1002/pamm.201110092">10.1002/pamm.201110092</a>
  apa: Caylak, I., Mahnken, R., &#38; Widany, K.-U. (2011). Stabilized mixed triangular
    finite elements at large deformations using area bubble functions. <i>PAMM</i>,
    201–202. <a href="https://doi.org/10.1002/pamm.201110092">https://doi.org/10.1002/pamm.201110092</a>
  bibtex: '@article{Caylak_Mahnken_Widany_2011, title={Stabilized mixed triangular
    finite elements at large deformations using area bubble functions}, DOI={<a href="https://doi.org/10.1002/pamm.201110092">10.1002/pamm.201110092</a>},
    journal={PAMM}, author={Caylak, Ismail and Mahnken, Rolf and Widany, Kai-Uwe},
    year={2011}, pages={201–202} }'
  chicago: Caylak, Ismail, Rolf Mahnken, and Kai-Uwe Widany. “Stabilized Mixed Triangular
    Finite Elements at Large Deformations Using Area Bubble Functions.” <i>PAMM</i>,
    2011, 201–2. <a href="https://doi.org/10.1002/pamm.201110092">https://doi.org/10.1002/pamm.201110092</a>.
  ieee: 'I. Caylak, R. Mahnken, and K.-U. Widany, “Stabilized mixed triangular finite
    elements at large deformations using area bubble functions,” <i>PAMM</i>, pp.
    201–202, 2011, doi: <a href="https://doi.org/10.1002/pamm.201110092">10.1002/pamm.201110092</a>.'
  mla: Caylak, Ismail, et al. “Stabilized Mixed Triangular Finite Elements at Large
    Deformations Using Area Bubble Functions.” <i>PAMM</i>, 2011, pp. 201–02, doi:<a
    href="https://doi.org/10.1002/pamm.201110092">10.1002/pamm.201110092</a>.
  short: I. Caylak, R. Mahnken, K.-U. Widany, PAMM (2011) 201–202.
date_created: 2020-09-08T10:27:54Z
date_updated: 2023-01-24T15:12:08Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/pamm.201110092
language:
- iso: eng
page: 201-202
publication: PAMM
publication_identifier:
  issn:
  - 1617-7061
publication_status: published
status: public
title: Stabilized mixed triangular finite elements at large deformations using area
  bubble functions
type: journal_article
user_id: '335'
year: '2011'
...
---
_id: '19133'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
citation:
  ama: 'Mahnken R, Caylak I. Optical Measurements for a Cold-Box Sand and Aspects
    of Direct and Inverse Problems for Micropolar Elasto-Plasticity. In: <i>Advances
    in Extended and Multifield Theories for Continua</i>. ; 2011. doi:<a href="https://doi.org/10.1007/978-3-642-22738-7_9">10.1007/978-3-642-22738-7_9</a>'
  apa: Mahnken, R., &#38; Caylak, I. (2011). Optical Measurements for a Cold-Box Sand
    and Aspects of Direct and Inverse Problems for Micropolar Elasto-Plasticity. In
    <i>Advances in Extended and Multifield Theories for Continua</i>. <a href="https://doi.org/10.1007/978-3-642-22738-7_9">https://doi.org/10.1007/978-3-642-22738-7_9</a>
  bibtex: '@inbook{Mahnken_Caylak_2011, place={Berlin, Heidelberg}, title={Optical
    Measurements for a Cold-Box Sand and Aspects of Direct and Inverse Problems for
    Micropolar Elasto-Plasticity}, DOI={<a href="https://doi.org/10.1007/978-3-642-22738-7_9">10.1007/978-3-642-22738-7_9</a>},
    booktitle={Advances in Extended and Multifield Theories for Continua}, author={Mahnken,
    Rolf and Caylak, Ismail}, year={2011} }'
  chicago: Mahnken, Rolf, and Ismail Caylak. “Optical Measurements for a Cold-Box
    Sand and Aspects of Direct and Inverse Problems for Micropolar Elasto-Plasticity.”
    In <i>Advances in Extended and Multifield Theories for Continua</i>. Berlin, Heidelberg,
    2011. <a href="https://doi.org/10.1007/978-3-642-22738-7_9">https://doi.org/10.1007/978-3-642-22738-7_9</a>.
  ieee: R. Mahnken and I. Caylak, “Optical Measurements for a Cold-Box Sand and Aspects
    of Direct and Inverse Problems for Micropolar Elasto-Plasticity,” in <i>Advances
    in Extended and Multifield Theories for Continua</i>, Berlin, Heidelberg, 2011.
  mla: Mahnken, Rolf, and Ismail Caylak. “Optical Measurements for a Cold-Box Sand
    and Aspects of Direct and Inverse Problems for Micropolar Elasto-Plasticity.”
    <i>Advances in Extended and Multifield Theories for Continua</i>, 2011, doi:<a
    href="https://doi.org/10.1007/978-3-642-22738-7_9">10.1007/978-3-642-22738-7_9</a>.
  short: 'R. Mahnken, I. Caylak, in: Advances in Extended and Multifield Theories
    for Continua, Berlin, Heidelberg, 2011.'
date_created: 2020-09-08T10:29:28Z
date_updated: 2023-01-24T15:14:30Z
department:
- _id: '9'
- _id: '154'
doi: 10.1007/978-3-642-22738-7_9
language:
- iso: eng
place: Berlin, Heidelberg
publication: Advances in Extended and Multifield Theories for Continua
publication_identifier:
  isbn:
  - '9783642227370'
  - '9783642227387'
  issn:
  - 1613-7736
  - 1860-0816
publication_status: published
quality_controlled: '1'
status: public
title: Optical Measurements for a Cold-Box Sand and Aspects of Direct and Inverse
  Problems for Micropolar Elasto-Plasticity
type: book_chapter
user_id: '335'
year: '2011'
...
---
_id: '19113'
author:
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Caylak I, Mahnken R. Stabilization of mixed tetrahedral elements at large deformations.
    <i>International Journal for Numerical Methods in Engineering</i>. Published online
    2011:218-242. doi:<a href="https://doi.org/10.1002/nme.3320">10.1002/nme.3320</a>
  apa: Caylak, I., &#38; Mahnken, R. (2011). Stabilization of mixed tetrahedral elements
    at large deformations. <i>International Journal for Numerical Methods in Engineering</i>,
    218–242. <a href="https://doi.org/10.1002/nme.3320">https://doi.org/10.1002/nme.3320</a>
  bibtex: '@article{Caylak_Mahnken_2011, title={Stabilization of mixed tetrahedral
    elements at large deformations}, DOI={<a href="https://doi.org/10.1002/nme.3320">10.1002/nme.3320</a>},
    journal={International Journal for Numerical Methods in Engineering}, author={Caylak,
    Ismail and Mahnken, Rolf}, year={2011}, pages={218–242} }'
  chicago: Caylak, Ismail, and Rolf Mahnken. “Stabilization of Mixed Tetrahedral Elements
    at Large Deformations.” <i>International Journal for Numerical Methods in Engineering</i>,
    2011, 218–42. <a href="https://doi.org/10.1002/nme.3320">https://doi.org/10.1002/nme.3320</a>.
  ieee: 'I. Caylak and R. Mahnken, “Stabilization of mixed tetrahedral elements at
    large deformations,” <i>International Journal for Numerical Methods in Engineering</i>,
    pp. 218–242, 2011, doi: <a href="https://doi.org/10.1002/nme.3320">10.1002/nme.3320</a>.'
  mla: Caylak, Ismail, and Rolf Mahnken. “Stabilization of Mixed Tetrahedral Elements
    at Large Deformations.” <i>International Journal for Numerical Methods in Engineering</i>,
    2011, pp. 218–42, doi:<a href="https://doi.org/10.1002/nme.3320">10.1002/nme.3320</a>.
  short: I. Caylak, R. Mahnken, International Journal for Numerical Methods in Engineering
    (2011) 218–242.
date_created: 2020-09-08T10:18:42Z
date_updated: 2023-01-24T15:14:24Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/nme.3320
language:
- iso: eng
page: 218-242
publication: International Journal for Numerical Methods in Engineering
publication_identifier:
  issn:
  - 0029-5981
publication_status: published
quality_controlled: '1'
status: public
title: Stabilization of mixed tetrahedral elements at large deformations
type: journal_article
user_id: '335'
year: '2011'
...
---
_id: '19138'
author:
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Caylak I, Mahnken R. Thermomechanical characterisation of cold box sand including
    optical measurements. <i>International Journal of Cast Metals Research</i>. Published
    online 2010:176-184. doi:<a href="https://doi.org/10.1179/174313309x451261">10.1179/174313309x451261</a>
  apa: Caylak, I., &#38; Mahnken, R. (2010). Thermomechanical characterisation of
    cold box sand including optical measurements. <i>International Journal of Cast
    Metals Research</i>, 176–184. <a href="https://doi.org/10.1179/174313309x451261">https://doi.org/10.1179/174313309x451261</a>
  bibtex: '@article{Caylak_Mahnken_2010, title={Thermomechanical characterisation
    of cold box sand including optical measurements}, DOI={<a href="https://doi.org/10.1179/174313309x451261">10.1179/174313309x451261</a>},
    journal={International Journal of Cast Metals Research}, author={Caylak, Ismail
    and Mahnken, Rolf}, year={2010}, pages={176–184} }'
  chicago: Caylak, Ismail, and Rolf Mahnken. “Thermomechanical Characterisation of
    Cold Box Sand Including Optical Measurements.” <i>International Journal of Cast
    Metals Research</i>, 2010, 176–84. <a href="https://doi.org/10.1179/174313309x451261">https://doi.org/10.1179/174313309x451261</a>.
  ieee: 'I. Caylak and R. Mahnken, “Thermomechanical characterisation of cold box
    sand including optical measurements,” <i>International Journal of Cast Metals
    Research</i>, pp. 176–184, 2010, doi: <a href="https://doi.org/10.1179/174313309x451261">10.1179/174313309x451261</a>.'
  mla: Caylak, Ismail, and Rolf Mahnken. “Thermomechanical Characterisation of Cold
    Box Sand Including Optical Measurements.” <i>International Journal of Cast Metals
    Research</i>, 2010, pp. 176–84, doi:<a href="https://doi.org/10.1179/174313309x451261">10.1179/174313309x451261</a>.
  short: I. Caylak, R. Mahnken, International Journal of Cast Metals Research (2010)
    176–184.
date_created: 2020-09-08T11:11:37Z
date_updated: 2023-01-25T14:26:38Z
department:
- _id: '9'
- _id: '154'
doi: 10.1179/174313309x451261
language:
- iso: eng
page: 176-184
publication: International Journal of Cast Metals Research
publication_identifier:
  issn:
  - 1364-0461
  - 1743-1336
publication_status: published
quality_controlled: '1'
status: public
title: Thermomechanical characterisation of cold box sand including optical measurements
type: journal_article
user_id: '335'
year: '2010'
...
---
_id: '19118'
author:
- first_name: Kai-Uwe
  full_name: Widany, Kai-Uwe
  last_name: Widany
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Widany K-U, Caylak I, Mahnken R. Stabilized Mixed Tetrahedrals with Volume
    and Area Bubble Functions at Large Deformations. <i>PAMM</i>. Published online
    2010:227-228. doi:<a href="https://doi.org/10.1002/pamm.201010106">10.1002/pamm.201010106</a>
  apa: Widany, K.-U., Caylak, I., &#38; Mahnken, R. (2010). Stabilized Mixed Tetrahedrals
    with Volume and Area Bubble Functions at Large Deformations. <i>PAMM</i>, 227–228.
    <a href="https://doi.org/10.1002/pamm.201010106">https://doi.org/10.1002/pamm.201010106</a>
  bibtex: '@article{Widany_Caylak_Mahnken_2010, title={Stabilized Mixed Tetrahedrals
    with Volume and Area Bubble Functions at Large Deformations}, DOI={<a href="https://doi.org/10.1002/pamm.201010106">10.1002/pamm.201010106</a>},
    journal={PAMM}, author={Widany, Kai-Uwe and Caylak, Ismail and Mahnken, Rolf},
    year={2010}, pages={227–228} }'
  chicago: Widany, Kai-Uwe, Ismail Caylak, and Rolf Mahnken. “Stabilized Mixed Tetrahedrals
    with Volume and Area Bubble Functions at Large Deformations.” <i>PAMM</i>, 2010,
    227–28. <a href="https://doi.org/10.1002/pamm.201010106">https://doi.org/10.1002/pamm.201010106</a>.
  ieee: 'K.-U. Widany, I. Caylak, and R. Mahnken, “Stabilized Mixed Tetrahedrals with
    Volume and Area Bubble Functions at Large Deformations,” <i>PAMM</i>, pp. 227–228,
    2010, doi: <a href="https://doi.org/10.1002/pamm.201010106">10.1002/pamm.201010106</a>.'
  mla: Widany, Kai-Uwe, et al. “Stabilized Mixed Tetrahedrals with Volume and Area
    Bubble Functions at Large Deformations.” <i>PAMM</i>, 2010, pp. 227–28, doi:<a
    href="https://doi.org/10.1002/pamm.201010106">10.1002/pamm.201010106</a>.
  short: K.-U. Widany, I. Caylak, R. Mahnken, PAMM (2010) 227–228.
date_created: 2020-09-08T10:23:04Z
date_updated: 2023-01-25T14:25:58Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/pamm.201010106
language:
- iso: eng
page: 227-228
publication: PAMM
publication_identifier:
  issn:
  - 1617-7061
publication_status: published
status: public
title: Stabilized Mixed Tetrahedrals with Volume and Area Bubble Functions at Large
  Deformations
type: journal_article
user_id: '335'
year: '2010'
...
---
_id: '19130'
author:
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Caylak I, Mahnken R. On the stabilization of tetrahedral finite elements using
    volume and area bubble functions. <i>PAMM</i>. Published online 2008:4040013-4040014.
    doi:<a href="https://doi.org/10.1002/pamm.200700224">10.1002/pamm.200700224</a>
  apa: Caylak, I., &#38; Mahnken, R. (2008). On the stabilization of tetrahedral finite
    elements using volume and area bubble functions. <i>PAMM</i>, 4040013–4040014.
    <a href="https://doi.org/10.1002/pamm.200700224">https://doi.org/10.1002/pamm.200700224</a>
  bibtex: '@article{Caylak_Mahnken_2008, title={On the stabilization of tetrahedral
    finite elements using volume and area bubble functions}, DOI={<a href="https://doi.org/10.1002/pamm.200700224">10.1002/pamm.200700224</a>},
    journal={PAMM}, author={Caylak, Ismail and Mahnken, Rolf}, year={2008}, pages={4040013–4040014}
    }'
  chicago: Caylak, Ismail, and Rolf Mahnken. “On the Stabilization of Tetrahedral
    Finite Elements Using Volume and Area Bubble Functions.” <i>PAMM</i>, 2008, 4040013–14.
    <a href="https://doi.org/10.1002/pamm.200700224">https://doi.org/10.1002/pamm.200700224</a>.
  ieee: 'I. Caylak and R. Mahnken, “On the stabilization of tetrahedral finite elements
    using volume and area bubble functions,” <i>PAMM</i>, pp. 4040013–4040014, 2008,
    doi: <a href="https://doi.org/10.1002/pamm.200700224">10.1002/pamm.200700224</a>.'
  mla: Caylak, Ismail, and Rolf Mahnken. “On the Stabilization of Tetrahedral Finite
    Elements Using Volume and Area Bubble Functions.” <i>PAMM</i>, 2008, pp. 4040013–14,
    doi:<a href="https://doi.org/10.1002/pamm.200700224">10.1002/pamm.200700224</a>.
  short: I. Caylak, R. Mahnken, PAMM (2008) 4040013–4040014.
date_created: 2020-09-08T10:28:19Z
date_updated: 2023-01-25T14:28:52Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/pamm.200700224
language:
- iso: eng
page: 4040013-4040014
publication: PAMM
publication_identifier:
  issn:
  - 1617-7061
  - 1617-7061
publication_status: published
status: public
title: On the stabilization of tetrahedral finite elements using volume and area bubble
  functions
type: journal_article
user_id: '335'
year: '2008'
...
---
_id: '19114'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
citation:
  ama: Mahnken R, Caylak I. Stabilization of bi‐linear mixed finite elements for tetrahedra
    with enhanced interpolation using volume and area bubble functions. <i>International
    Journal for Numerical Methods in Engineering</i>. Published online 2007:377-413.
    doi:<a href="https://doi.org/10.1002/nme.2264">10.1002/nme.2264</a>
  apa: Mahnken, R., &#38; Caylak, I. (2007). Stabilization of bi‐linear mixed finite
    elements for tetrahedra with enhanced interpolation using volume and area bubble
    functions. <i>International Journal for Numerical Methods in Engineering</i>,
    377–413. <a href="https://doi.org/10.1002/nme.2264">https://doi.org/10.1002/nme.2264</a>
  bibtex: '@article{Mahnken_Caylak_2007, title={Stabilization of bi‐linear mixed finite
    elements for tetrahedra with enhanced interpolation using volume and area bubble
    functions}, DOI={<a href="https://doi.org/10.1002/nme.2264">10.1002/nme.2264</a>},
    journal={International Journal for Numerical Methods in Engineering}, author={Mahnken,
    Rolf and Caylak, Ismail}, year={2007}, pages={377–413} }'
  chicago: Mahnken, Rolf, and Ismail Caylak. “Stabilization of Bi‐linear Mixed Finite
    Elements for Tetrahedra with Enhanced Interpolation Using Volume and Area Bubble
    Functions.” <i>International Journal for Numerical Methods in Engineering</i>,
    2007, 377–413. <a href="https://doi.org/10.1002/nme.2264">https://doi.org/10.1002/nme.2264</a>.
  ieee: 'R. Mahnken and I. Caylak, “Stabilization of bi‐linear mixed finite elements
    for tetrahedra with enhanced interpolation using volume and area bubble functions,”
    <i>International Journal for Numerical Methods in Engineering</i>, pp. 377–413,
    2007, doi: <a href="https://doi.org/10.1002/nme.2264">10.1002/nme.2264</a>.'
  mla: Mahnken, Rolf, and Ismail Caylak. “Stabilization of Bi‐linear Mixed Finite
    Elements for Tetrahedra with Enhanced Interpolation Using Volume and Area Bubble
    Functions.” <i>International Journal for Numerical Methods in Engineering</i>,
    2007, pp. 377–413, doi:<a href="https://doi.org/10.1002/nme.2264">10.1002/nme.2264</a>.
  short: R. Mahnken, I. Caylak, International Journal for Numerical Methods in Engineering
    (2007) 377–413.
date_created: 2020-09-08T10:19:51Z
date_updated: 2023-01-25T14:32:33Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/nme.2264
language:
- iso: eng
page: 377-413
publication: International Journal for Numerical Methods in Engineering
publication_identifier:
  issn:
  - 0029-5981
  - 1097-0207
publication_status: published
quality_controlled: '1'
status: public
title: Stabilization of bi‐linear mixed finite elements for tetrahedra with enhanced
  interpolation using volume and area bubble functions
type: journal_article
user_id: '335'
year: '2007'
...