---
_id: '19124'
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: Alex
full_name: Dridger, Alex
last_name: Dridger
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
citation:
ama: Penner E, Caylak I, Dridger A, Mahnken R. Possibilistic and stochastic analysis
using for rubber‐like materials. PAMM. Published online 2018. doi:10.1002/pamm.201800153
apa: Penner, E., Caylak, I., Dridger, A., & Mahnken, R. (2018). Possibilistic
and stochastic analysis using for rubber‐like materials. PAMM. https://doi.org/10.1002/pamm.201800153
bibtex: '@article{Penner_Caylak_Dridger_Mahnken_2018, title={Possibilistic and stochastic
analysis using for rubber‐like materials}, DOI={10.1002/pamm.201800153},
journal={PAMM}, author={Penner, Eduard and Caylak, Ismail and Dridger, Alex and
Mahnken, Rolf}, year={2018} }'
chicago: Penner, Eduard, Ismail Caylak, Alex Dridger, and Rolf Mahnken. “Possibilistic
and Stochastic Analysis Using for Rubber‐like Materials.” PAMM, 2018. https://doi.org/10.1002/pamm.201800153.
ieee: 'E. Penner, I. Caylak, A. Dridger, and R. Mahnken, “Possibilistic and stochastic
analysis using for rubber‐like materials,” PAMM, 2018, doi: 10.1002/pamm.201800153.'
mla: Penner, Eduard, et al. “Possibilistic and Stochastic Analysis Using for Rubber‐like
Materials.” PAMM, 2018, doi:10.1002/pamm.201800153.
short: E. Penner, I. Caylak, A. Dridger, R. Mahnken, PAMM (2018).
date_created: 2020-09-08T10:25:18Z
date_updated: 2023-01-24T14:12:07Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1002/pamm.201800153
language:
- iso: eng
publication: PAMM
publication_identifier:
issn:
- 1617-7061
- 1617-7061
publication_status: published
status: public
title: Possibilistic and stochastic analysis using for rubber‐like materials
type: journal_article
user_id: '335'
year: '2018'
...
---
_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. PAMM. Published online 2018:67-68. doi:10.1002/pamm.201710020
apa: Penner, E., Caylak, I., & Mahnken, R. (2018). A multivariate stochastic
material model with correlated material parameters. PAMM, 67–68. https://doi.org/10.1002/pamm.201710020
bibtex: '@article{Penner_Caylak_Mahnken_2018, title={A multivariate stochastic material
model with correlated material parameters}, DOI={10.1002/pamm.201710020},
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.” PAMM, 2018, 67–68.
https://doi.org/10.1002/pamm.201710020.
ieee: 'E. Penner, I. Caylak, and R. Mahnken, “A multivariate stochastic material
model with correlated material parameters,” PAMM, pp. 67–68, 2018, doi:
10.1002/pamm.201710020.'
mla: Penner, Eduard, et al. “A Multivariate Stochastic Material Model with Correlated
Material Parameters.” PAMM, 2018, pp. 67–68, doi:10.1002/pamm.201710020.
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: '15958'
author:
- first_name: Carolin
full_name: Zinn, Carolin
last_name: Zinn
- first_name: Mathias
full_name: Bobbert, Mathias
id: '7850'
last_name: Bobbert
- first_name: Christian
full_name: Dammann, Christian
last_name: Dammann
- first_name: Zheng
full_name: Wang, Zheng
last_name: Wang
- first_name: Thomas
full_name: Tröster, Thomas
id: '553'
last_name: Tröster
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
- first_name: Gerson
full_name: Meschut, Gerson
id: '32056'
last_name: Meschut
orcid: 0000-0002-2763-1246
- first_name: Mirko
full_name: Schaper, Mirko
id: '43720'
last_name: Schaper
citation:
ama: 'Zinn C, Bobbert M, Dammann C, et al. Shear strength and failure behaviour
of laser nano-structured and conventionally pre-treated interfaces in intrinsically
manufactured CFRP-steel hybrids. Composites Part B: Engineering. Published
online 2018:173-185. doi:10.1016/j.compositesb.2018.05.030'
apa: 'Zinn, C., Bobbert, M., Dammann, C., Wang, Z., Tröster, T., Mahnken, R., Meschut,
G., & Schaper, M. (2018). Shear strength and failure behaviour of laser nano-structured
and conventionally pre-treated interfaces in intrinsically manufactured CFRP-steel
hybrids. Composites Part B: Engineering, 173–185. https://doi.org/10.1016/j.compositesb.2018.05.030'
bibtex: '@article{Zinn_Bobbert_Dammann_Wang_Tröster_Mahnken_Meschut_Schaper_2018,
title={Shear strength and failure behaviour of laser nano-structured and conventionally
pre-treated interfaces in intrinsically manufactured CFRP-steel hybrids}, DOI={10.1016/j.compositesb.2018.05.030},
journal={Composites Part B: Engineering}, author={Zinn, Carolin and Bobbert, Mathias
and Dammann, Christian and Wang, Zheng and Tröster, Thomas and Mahnken, Rolf and
Meschut, Gerson and Schaper, Mirko}, year={2018}, pages={173–185} }'
chicago: 'Zinn, Carolin, Mathias Bobbert, Christian Dammann, Zheng Wang, Thomas
Tröster, Rolf Mahnken, Gerson Meschut, and Mirko Schaper. “Shear Strength and
Failure Behaviour of Laser Nano-Structured and Conventionally Pre-Treated Interfaces
in Intrinsically Manufactured CFRP-Steel Hybrids.” Composites Part B: Engineering,
2018, 173–85. https://doi.org/10.1016/j.compositesb.2018.05.030.'
ieee: 'C. Zinn et al., “Shear strength and failure behaviour of laser nano-structured
and conventionally pre-treated interfaces in intrinsically manufactured CFRP-steel
hybrids,” Composites Part B: Engineering, pp. 173–185, 2018, doi: 10.1016/j.compositesb.2018.05.030.'
mla: 'Zinn, Carolin, et al. “Shear Strength and Failure Behaviour of Laser Nano-Structured
and Conventionally Pre-Treated Interfaces in Intrinsically Manufactured CFRP-Steel
Hybrids.” Composites Part B: Engineering, 2018, pp. 173–85, doi:10.1016/j.compositesb.2018.05.030.'
short: 'C. Zinn, M. Bobbert, C. Dammann, Z. Wang, T. Tröster, R. Mahnken, G. Meschut,
M. Schaper, Composites Part B: Engineering (2018) 173–185.'
date_created: 2020-02-21T14:32:16Z
date_updated: 2023-06-01T14:27:22Z
department:
- _id: '9'
- _id: '321'
- _id: '149'
- _id: '157'
- _id: '154'
doi: 10.1016/j.compositesb.2018.05.030
language:
- iso: eng
page: 173-185
publication: 'Composites Part B: Engineering'
publication_identifier:
issn:
- 1359-8368
publication_status: published
quality_controlled: '1'
status: public
title: Shear strength and failure behaviour of laser nano-structured and conventionally
pre-treated interfaces in intrinsically manufactured CFRP-steel hybrids
type: journal_article
user_id: '43720'
year: '2018'
...
---
_id: '9862'
abstract:
- lang: eng
text: 'In order to improve the credibility of modern simulation tools, uncertainties
of different kinds have to be considered. This work is focused on epistemic uncertainties
in the framework of continuum mechanics, which are taken into account by fuzzy
analysis. The underlying min-max optimization problem of the extension principle
is approximated by α-discretization, resulting in a separation of minimum and
maximum problems. To become more universal, so-called quantities of interest are
employed, which allow a general formulation for the target problem of interest.
In this way, the relation to parameter identification problems based on least-squares
functions is highlighted. The solutions of the related optimization problems with
simple constraints are obtained with a gradient-based scheme, which is derived
from a sensitvity analysis for the target problem by means of a variational formulation.
Two numerical examples for the fuzzy analysis of material parameters are concerned
with a necking problem at large strain elastoplasticity and a perforated strip
at large strain hyperelasticity to demonstrate the versatility of the proposed
variational formulation. '
author:
- first_name: Rolf
full_name: Mahnken, Rolf
last_name: Mahnken
citation:
ama: Mahnken R. “A variational formulation for fuzzy analysis in continuum mechanics.”
Mathematics and Mechanics of complex systems. 2017;5(3-4).
apa: Mahnken, R. (2017). “A variational formulation for fuzzy analysis in continuum
mechanics.” Mathematics and Mechanics of Complex Systems, 5(3–4).
bibtex: '@article{Mahnken_2017, title={“A variational formulation for fuzzy analysis
in continuum mechanics”}, volume={5}, number={3–4}, journal={Mathematics and Mechanics
of complex systems}, author={Mahnken, Rolf}, year={2017} }'
chicago: Mahnken, Rolf. “‘A Variational Formulation for Fuzzy Analysis in Continuum
Mechanics.’” Mathematics and Mechanics of Complex Systems 5, no. 3–4 (2017).
ieee: R. Mahnken, “‘A variational formulation for fuzzy analysis in continuum mechanics,’”
Mathematics and Mechanics of complex systems, vol. 5, no. 3–4, 2017.
mla: Mahnken, Rolf. “‘A Variational Formulation for Fuzzy Analysis in Continuum
Mechanics.’” Mathematics and Mechanics of Complex Systems, vol. 5, no.
3–4, 2017.
short: R. Mahnken, Mathematics and Mechanics of Complex Systems 5 (2017).
date_created: 2019-05-20T11:36:47Z
date_updated: 2019-05-27T12:54:35Z
department:
- _id: '154'
intvolume: ' 5'
issue: 3-4
keyword:
- fuzzy analysis
- α-level optimization
- quantities of interest
- optimization with simple constraints
- large strain elasticity
- large strain elastoplasticity
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://msp.org/memocs/2017/5-3/memocs-v5-n3-p03-s.pdf
oa: '1'
publication: Mathematics and Mechanics of complex systems
publication_identifier:
issn:
- ' 2325-3444'
publication_status: published
status: public
title: '"A variational formulation for fuzzy analysis in continuum mechanics"'
type: journal_article
user_id: '78813'
volume: 5
year: '2017'
...
---
_id: '9872'
author:
- first_name: Rolf
full_name: Mahnken, Rolf
last_name: Mahnken
citation:
ama: 'Mahnken R. ,,Identification of Material Parameters for Constitutive Equations
“. In: Stein E, de Borst R, Hughes TJR, eds. Encyclopedia of Computational
Mechanics. Vol 4. 2nd ed. John Wiley & Sons; 2017:1165.'
apa: Mahnken, R. (2017). ,,Identification of Material Parameters for Constitutive
Equations “. In E. Stein, R. de Borst, & T. J. R. Hughes (Eds.), Encyclopedia
of Computational Mechanics (2nd ed., Vol. 4, p. 1165). John Wiley & Sons.
bibtex: '@inbook{Mahnken_2017, edition={2}, title={,,Identification of Material
Parameters for Constitutive Equations “}, volume={4}, booktitle={Encyclopedia
of Computational Mechanics}, publisher={John Wiley & Sons}, author={Mahnken,
Rolf}, editor={Stein, Erwin and de Borst, Rene and Hughes, Thomas J.R.Editors},
year={2017}, pages={1165} }'
chicago: Mahnken, Rolf. “,,Identification of Material Parameters for Constitutive
Equations “.” In Encyclopedia of Computational Mechanics, edited by Erwin
Stein, Rene de Borst, and Thomas J.R. Hughes, 2nd ed., 4:1165. John Wiley &
Sons, 2017.
ieee: R. Mahnken, “,,Identification of Material Parameters for Constitutive Equations
“,” in Encyclopedia of Computational Mechanics, 2nd ed., vol. 4, E. Stein,
R. de Borst, and T. J. R. Hughes, Eds. John Wiley & Sons, 2017, p. 1165.
mla: Mahnken, Rolf. “,,Identification of Material Parameters for Constitutive Equations
“.” Encyclopedia of Computational Mechanics, edited by Erwin Stein et al.,
2nd ed., vol. 4, John Wiley & Sons, 2017, p. 1165.
short: 'R. Mahnken, in: E. Stein, R. de Borst, T.J.R. Hughes (Eds.), Encyclopedia
of Computational Mechanics, 2nd ed., John Wiley & Sons, 2017, p. 1165.'
date_created: 2019-05-20T12:28:19Z
date_updated: 2019-05-20T12:50:32Z
department:
- _id: '154'
edition: '2'
editor:
- first_name: Erwin
full_name: Stein, Erwin
last_name: Stein
- first_name: Rene
full_name: de Borst, Rene
last_name: de Borst
- first_name: Thomas J.R.
full_name: Hughes, Thomas J.R.
last_name: Hughes
intvolume: ' 4'
language:
- iso: eng
page: '1165'
publication: Encyclopedia of Computational Mechanics
publication_identifier:
isbn:
- 978-1-119-00379-3
publication_status: published
publisher: John Wiley & Sons
status: public
title: ',,Identification of Material Parameters for Constitutive Equations “'
type: book_chapter
user_id: '78813'
volume: 4
year: '2017'
...
---
_id: '9941'
author:
- first_name: Alex
full_name: Dridger, Alex
last_name: Dridger
- first_name: Ismail
full_name: Caylak, Ismail
last_name: Caylak
- first_name: Rolf
full_name: Mahnken, Rolf
last_name: Mahnken
citation:
ama: 'Dridger A, Caylak I, Mahnken R. “A POSSIBILISTIC APPROACH FOR LINEAR ISOTROPIC
ELASTICITY USING THE FUZZY FINITE ELEMENT METHOD.” In: Proceedings of the 2nd
International Conference on Uncertainty Quantification in Computational Sciences
and Engineering (UNCECOMP 2017). ; 2017. doi:10.7712/120217.5392.16813'
apa: Dridger, A., Caylak, I., & Mahnken, R. (2017). “A POSSIBILISTIC APPROACH
FOR LINEAR ISOTROPIC ELASTICITY USING THE FUZZY FINITE ELEMENT METHOD.” In Proceedings
of the 2nd International Conference on Uncertainty Quantification in Computational
Sciences and Engineering (UNCECOMP 2017). https://doi.org/10.7712/120217.5392.16813
bibtex: '@inproceedings{Dridger_Caylak_Mahnken_2017, title={“A POSSIBILISTIC APPROACH
FOR LINEAR ISOTROPIC ELASTICITY USING THE FUZZY FINITE ELEMENT METHOD”}, DOI={10.7712/120217.5392.16813},
booktitle={Proceedings of the 2nd International Conference on Uncertainty Quantification
in Computational Sciences and Engineering (UNCECOMP 2017)}, author={Dridger, Alex
and Caylak, Ismail and Mahnken, Rolf}, year={2017} }'
chicago: Dridger, Alex, Ismail Caylak, and Rolf Mahnken. “‘A POSSIBILISTIC APPROACH
FOR LINEAR ISOTROPIC ELASTICITY USING THE FUZZY FINITE ELEMENT METHOD.’” In Proceedings
of the 2nd International Conference on Uncertainty Quantification in Computational
Sciences and Engineering (UNCECOMP 2017), 2017. https://doi.org/10.7712/120217.5392.16813.
ieee: A. Dridger, I. Caylak, and R. Mahnken, “‘A POSSIBILISTIC APPROACH FOR LINEAR
ISOTROPIC ELASTICITY USING THE FUZZY FINITE ELEMENT METHOD,’” in Proceedings
of the 2nd International Conference on Uncertainty Quantification in Computational
Sciences and Engineering (UNCECOMP 2017), 2017.
mla: Dridger, Alex, et al. “‘A POSSIBILISTIC APPROACH FOR LINEAR ISOTROPIC ELASTICITY
USING THE FUZZY FINITE ELEMENT METHOD.’” Proceedings of the 2nd International
Conference on Uncertainty Quantification in Computational Sciences and Engineering
(UNCECOMP 2017), 2017, doi:10.7712/120217.5392.16813.
short: 'A. Dridger, I. Caylak, R. Mahnken, in: Proceedings of the 2nd International
Conference on Uncertainty Quantification in Computational Sciences and Engineering
(UNCECOMP 2017), 2017.'
date_created: 2019-05-24T12:59:52Z
date_updated: 2019-05-24T13:01:18Z
department:
- _id: '154'
doi: 10.7712/120217.5392.16813
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
status: public
title: '"A POSSIBILISTIC APPROACH FOR LINEAR ISOTROPIC ELASTICITY USING THE FUZZY
FINITE ELEMENT METHOD"'
type: conference
user_id: '78813'
year: '2017'
...
---
_id: '9988'
author:
- first_name: Martin
full_name: Düsing, Martin
last_name: Düsing
- first_name: Rolf
full_name: Mahnken, Rolf
last_name: Mahnken
citation:
ama: Düsing M, Mahnken R. “A coupled phase field/diffusion model for upper and lower
bainitic transformation.” International Journal of Solids and Structures.
2017:172-183. doi:10.1016/j.ijsolstr.2017.11.018
apa: Düsing, M., & Mahnken, R. (2017). “A coupled phase field/diffusion model
for upper and lower bainitic transformation.” International Journal of Solids
and Structures, 172–183. https://doi.org/10.1016/j.ijsolstr.2017.11.018
bibtex: '@article{Düsing_Mahnken_2017, title={“A coupled phase field/diffusion model
for upper and lower bainitic transformation”}, DOI={10.1016/j.ijsolstr.2017.11.018},
journal={International Journal of Solids and Structures}, author={Düsing, Martin
and Mahnken, Rolf}, year={2017}, pages={172–183} }'
chicago: Düsing, Martin, and Rolf Mahnken. “‘A Coupled Phase Field/Diffusion Model
for Upper and Lower Bainitic Transformation.’” International Journal of Solids
and Structures, 2017, 172–83. https://doi.org/10.1016/j.ijsolstr.2017.11.018.
ieee: M. Düsing and R. Mahnken, “‘A coupled phase field/diffusion model for upper
and lower bainitic transformation,’” International Journal of Solids and Structures,
pp. 172–183, 2017.
mla: Düsing, Martin, and Rolf Mahnken. “‘A Coupled Phase Field/Diffusion Model for
Upper and Lower Bainitic Transformation.’” International Journal of Solids
and Structures, 2017, pp. 172–83, doi:10.1016/j.ijsolstr.2017.11.018.
short: M. Düsing, R. Mahnken, International Journal of Solids and Structures (2017)
172–183.
date_created: 2019-05-27T10:04:12Z
date_updated: 2019-05-27T10:51:04Z
department:
- _id: '154'
doi: 10.1016/j.ijsolstr.2017.11.018
language:
- iso: eng
page: 172-183
publication: International Journal of Solids and Structures
publication_identifier:
issn:
- 0020-7683
publication_status: published
status: public
title: '"A coupled phase field/diffusion model for upper and lower bainitic transformation"'
type: journal_article
user_id: '78813'
year: '2017'
...
---
_id: '9989'
author:
- first_name: X.
full_name: Ju, X.
last_name: Ju
- first_name: R.
full_name: Mahnken, R.
last_name: Mahnken
citation:
ama: Ju X, Mahnken R. “Goal-oriented adaptivity for linear elastic micromorphic
continua based on primal and adjoint consistency analysis.” International Journal
for Numerical Methods in Engineering. 2017:1017-1039. doi:10.1002/nme.5541
apa: Ju, X., & Mahnken, R. (2017). “Goal-oriented adaptivity for linear elastic
micromorphic continua based on primal and adjoint consistency analysis.” International
Journal for Numerical Methods in Engineering, 1017–1039. https://doi.org/10.1002/nme.5541
bibtex: '@article{Ju_Mahnken_2017, title={“Goal-oriented adaptivity for linear elastic
micromorphic continua based on primal and adjoint consistency analysis”}, DOI={10.1002/nme.5541}, journal={International
Journal for Numerical Methods in Engineering}, author={Ju, X. and Mahnken, R.},
year={2017}, pages={1017–1039} }'
chicago: Ju, X., and R. Mahnken. “‘Goal-Oriented Adaptivity for Linear Elastic Micromorphic
Continua Based on Primal and Adjoint Consistency Analysis.’” International
Journal for Numerical Methods in Engineering, 2017, 1017–39. https://doi.org/10.1002/nme.5541.
ieee: X. Ju and R. Mahnken, “‘Goal-oriented adaptivity for linear elastic micromorphic
continua based on primal and adjoint consistency analysis,’” International
Journal for Numerical Methods in Engineering, pp. 1017–1039, 2017.
mla: Ju, X., and R. Mahnken. “‘Goal-Oriented Adaptivity for Linear Elastic Micromorphic
Continua Based on Primal and Adjoint Consistency Analysis.’” International
Journal for Numerical Methods in Engineering, 2017, pp. 1017–39, doi:10.1002/nme.5541.
short: X. Ju, R. Mahnken, International Journal for Numerical Methods in Engineering
(2017) 1017–1039.
date_created: 2019-05-27T10:08:39Z
date_updated: 2019-05-27T10:50:56Z
department:
- _id: '154'
doi: 10.1002/nme.5541
language:
- iso: eng
page: 1017-1039
publication: International Journal for Numerical Methods in Engineering
publication_identifier:
issn:
- 0029-5981
publication_status: published
status: public
title: '"Goal-oriented adaptivity for linear elastic micromorphic continua based on
primal and adjoint consistency analysis"'
type: journal_article
user_id: '78813'
year: '2017'
...
---
_id: '10004'
author:
- first_name: X.
full_name: Ju, X.
last_name: Ju
- first_name: R.
full_name: Mahnken, R.
last_name: Mahnken
citation:
ama: Ju X, Mahnken R. “Model adaptivity on effective elastic properties coupled
with adaptive FEM.” Computer Methods in Applied Mechanics and Engineering.
2017;322:208-237. doi:10.1016/j.cma.2017.04.013
apa: Ju, X., & Mahnken, R. (2017). “Model adaptivity on effective elastic properties
coupled with adaptive FEM.” Computer Methods in Applied Mechanics and Engineering,
322, 208–237. https://doi.org/10.1016/j.cma.2017.04.013
bibtex: '@article{Ju_Mahnken_2017, title={“Model adaptivity on effective elastic
properties coupled with adaptive FEM”}, volume={322}, DOI={10.1016/j.cma.2017.04.013},
journal={Computer Methods in Applied Mechanics and Engineering}, publisher={Elsevier},
author={Ju, X. and Mahnken, R.}, year={2017}, pages={208–237} }'
chicago: 'Ju, X., and R. Mahnken. “‘Model Adaptivity on Effective Elastic Properties
Coupled with Adaptive FEM.’” Computer Methods in Applied Mechanics and Engineering
322 (2017): 208–37. https://doi.org/10.1016/j.cma.2017.04.013.'
ieee: X. Ju and R. Mahnken, “‘Model adaptivity on effective elastic properties coupled
with adaptive FEM,’” Computer Methods in Applied Mechanics and Engineering,
vol. 322, pp. 208–237, 2017.
mla: Ju, X., and R. Mahnken. “‘Model Adaptivity on Effective Elastic Properties
Coupled with Adaptive FEM.’” Computer Methods in Applied Mechanics and Engineering,
vol. 322, Elsevier, 2017, pp. 208–37, doi:10.1016/j.cma.2017.04.013.
short: X. Ju, R. Mahnken, Computer Methods in Applied Mechanics and Engineering
322 (2017) 208–237.
date_created: 2019-05-27T11:24:33Z
date_updated: 2022-01-06T06:50:22Z
department:
- _id: '154'
doi: 10.1016/j.cma.2017.04.013
intvolume: ' 322'
language:
- iso: eng
page: 208-237
publication: Computer Methods in Applied Mechanics and Engineering
publication_identifier:
issn:
- 0045-7825
publication_status: published
publisher: Elsevier
status: public
title: '"Model adaptivity on effective elastic properties coupled with adaptive FEM"'
type: journal_article
user_id: '78813'
volume: 322
year: '2017'
...
---
_id: '10006'
author:
- first_name: Christian
full_name: Dammann, Christian
last_name: Dammann
- first_name: Peter
full_name: Lenz, Peter
last_name: Lenz
- first_name: Rolf
full_name: Mahnken, Rolf
last_name: Mahnken
citation:
ama: Dammann C, Lenz P, Mahnken R. “Thermo-chemo-mechanical Effective Properties
for Homogeneous and Heterogeneous n -Phase Mixtures with Application to Curing.”
Procedia CIRP. 2017;66:51-56. doi:10.1016/j.procir.2017.03.360
apa: Dammann, C., Lenz, P., & Mahnken, R. (2017). “Thermo-chemo-mechanical Effective
Properties for Homogeneous and Heterogeneous n -Phase Mixtures with Application
to Curing.” Procedia CIRP, 66, 51–56. https://doi.org/10.1016/j.procir.2017.03.360
bibtex: '@article{Dammann_Lenz_Mahnken_2017, title={“Thermo-chemo-mechanical Effective
Properties for Homogeneous and Heterogeneous n -Phase Mixtures with Application
to Curing”}, volume={66}, DOI={10.1016/j.procir.2017.03.360},
journal={Procedia CIRP}, publisher={Elsevier}, author={Dammann, Christian and
Lenz, Peter and Mahnken, Rolf}, year={2017}, pages={51–56} }'
chicago: 'Dammann, Christian, Peter Lenz, and Rolf Mahnken. “‘Thermo-Chemo-Mechanical
Effective Properties for Homogeneous and Heterogeneous n -Phase Mixtures with
Application to Curing.’” Procedia CIRP 66 (2017): 51–56. https://doi.org/10.1016/j.procir.2017.03.360.'
ieee: C. Dammann, P. Lenz, and R. Mahnken, “‘Thermo-chemo-mechanical Effective Properties
for Homogeneous and Heterogeneous n -Phase Mixtures with Application to Curing,’”
Procedia CIRP, vol. 66, pp. 51–56, 2017.
mla: Dammann, Christian, et al. “‘Thermo-Chemo-Mechanical Effective Properties for
Homogeneous and Heterogeneous n -Phase Mixtures with Application to Curing.’”
Procedia CIRP, vol. 66, Elsevier, 2017, pp. 51–56, doi:10.1016/j.procir.2017.03.360.
short: C. Dammann, P. Lenz, R. Mahnken, Procedia CIRP 66 (2017) 51–56.
date_created: 2019-05-27T11:44:07Z
date_updated: 2022-01-06T06:50:22Z
department:
- _id: '154'
doi: 10.1016/j.procir.2017.03.360
intvolume: ' 66'
language:
- iso: eng
page: 51-56
publication: Procedia CIRP
publication_identifier:
issn:
- 2212-8271
publication_status: published
publisher: Elsevier
status: public
title: '"Thermo-chemo-mechanical Effective Properties for Homogeneous and Heterogeneous
n -Phase Mixtures with Application to Curing"'
type: journal_article
user_id: '78813'
volume: 66
year: '2017'
...
---
_id: '10007'
author:
- first_name: Rolf
full_name: Mahnken, Rolf
last_name: Mahnken
- first_name: Christian
full_name: Dammann, Christian
last_name: Dammann
- first_name: Peter
full_name: Lenz, Peter
last_name: Lenz
citation:
ama: Mahnken R, Dammann C, Lenz P. (n)- AND (n + 1)-LAYERED COMPOSITE SPHERE MODELS
FOR THERMO-CHEMO-MECHANICAL EFFECTIVE PROPERTIES. International Journal for
Multiscale Computational Engineering. 2017;15(4):295-322. doi:10.1615/intjmultcompeng.2017020304
apa: Mahnken, R., Dammann, C., & Lenz, P. (2017). (n)- AND (n + 1)-LAYERED COMPOSITE
SPHERE MODELS FOR THERMO-CHEMO-MECHANICAL EFFECTIVE PROPERTIES. International
Journal for Multiscale Computational Engineering, 15(4), 295–322. https://doi.org/10.1615/intjmultcompeng.2017020304
bibtex: '@article{Mahnken_Dammann_Lenz_2017, title={(n)- AND (n + 1)-LAYERED COMPOSITE
SPHERE MODELS FOR THERMO-CHEMO-MECHANICAL EFFECTIVE PROPERTIES}, volume={15},
DOI={10.1615/intjmultcompeng.2017020304},
number={4}, journal={International Journal for Multiscale Computational Engineering},
author={Mahnken, Rolf and Dammann, Christian and Lenz, Peter}, year={2017}, pages={295–322}
}'
chicago: 'Mahnken, Rolf, Christian Dammann, and Peter Lenz. “(N)- AND (n + 1)-LAYERED
COMPOSITE SPHERE MODELS FOR THERMO-CHEMO-MECHANICAL EFFECTIVE PROPERTIES.” International
Journal for Multiscale Computational Engineering 15, no. 4 (2017): 295–322.
https://doi.org/10.1615/intjmultcompeng.2017020304.'
ieee: R. Mahnken, C. Dammann, and P. Lenz, “(n)- AND (n + 1)-LAYERED COMPOSITE SPHERE
MODELS FOR THERMO-CHEMO-MECHANICAL EFFECTIVE PROPERTIES,” International Journal
for Multiscale Computational Engineering, vol. 15, no. 4, pp. 295–322, 2017.
mla: Mahnken, Rolf, et al. “(N)- AND (n + 1)-LAYERED COMPOSITE SPHERE MODELS FOR
THERMO-CHEMO-MECHANICAL EFFECTIVE PROPERTIES.” International Journal for Multiscale
Computational Engineering, vol. 15, no. 4, 2017, pp. 295–322, doi:10.1615/intjmultcompeng.2017020304.
short: R. Mahnken, C. Dammann, P. Lenz, International Journal for Multiscale Computational
Engineering 15 (2017) 295–322.
date_created: 2019-05-27T11:50:18Z
date_updated: 2022-01-06T06:50:22Z
department:
- _id: '154'
doi: 10.1615/intjmultcompeng.2017020304
intvolume: ' 15'
issue: '4'
language:
- iso: eng
page: 295-322
publication: International Journal for Multiscale Computational Engineering
publication_identifier:
issn:
- 1543-1649
publication_status: published
status: public
title: (n)- AND (n + 1)-LAYERED COMPOSITE SPHERE MODELS FOR THERMO-CHEMO-MECHANICAL
EFFECTIVE PROPERTIES
type: journal_article
user_id: '78813'
volume: 15
year: '2017'
...
---
_id: '10008'
author:
- first_name: E.
full_name: Penner, E.
last_name: Penner
- first_name: I.
full_name: Caylak, I.
last_name: Caylak
- first_name: R.
full_name: Mahnken, R.
last_name: Mahnken
citation:
ama: 'Penner E, Caylak I, Mahnken R. “Fuzzy and stochastic analysis of rubber like
materials.” In: Proceedings of the 2nd International Conference on Uncertainty
Quantification in Computational Sciences and Engineering, Rhode Island, 15.-17.06.2017.
; 2017:554-564.'
apa: Penner, E., Caylak, I., & Mahnken, R. (2017). “Fuzzy and stochastic analysis
of rubber like materials.” In Proceedings of the 2nd International Conference
on Uncertainty Quantification in Computational Sciences and Engineering, Rhode
Island, 15.-17.06.2017 (pp. 554–564). Rhode Island.
bibtex: '@inproceedings{Penner_Caylak_Mahnken_2017, title={“Fuzzy and stochastic
analysis of rubber like materials”}, booktitle={Proceedings of the 2nd International
Conference on Uncertainty Quantification in Computational Sciences and Engineering,
Rhode Island, 15.-17.06.2017}, author={Penner, E. and Caylak, I. and Mahnken,
R.}, year={2017}, pages={554–564} }'
chicago: Penner, E., I. Caylak, and R. Mahnken. “‘Fuzzy and Stochastic Analysis
of Rubber like Materials.’” In Proceedings of the 2nd International Conference
on Uncertainty Quantification in Computational Sciences and Engineering, Rhode
Island, 15.-17.06.2017, 554–64, 2017.
ieee: E. Penner, I. Caylak, and R. Mahnken, “‘Fuzzy and stochastic analysis of rubber
like materials,’” in Proceedings of the 2nd International Conference on Uncertainty
Quantification in Computational Sciences and Engineering, Rhode Island, 15.-17.06.2017,
Rhode Island, 2017, pp. 554–564.
mla: Penner, E., et al. “‘Fuzzy and Stochastic Analysis of Rubber like Materials.’”
Proceedings of the 2nd International Conference on Uncertainty Quantification
in Computational Sciences and Engineering, Rhode Island, 15.-17.06.2017, 2017,
pp. 554–64.
short: 'E. Penner, I. Caylak, R. Mahnken, in: Proceedings of the 2nd International
Conference on Uncertainty Quantification in Computational Sciences and Engineering,
Rhode Island, 15.-17.06.2017, 2017, pp. 554–564.'
conference:
end_date: 2017-06-17
location: Rhode Island
name: Proceedings of the 2nd International Conference on Uncertainty Quantification
in Computational Sciences and Engineering
start_date: 2017-06-15
date_created: 2019-05-27T13:06:06Z
date_updated: 2022-01-06T06:50:22Z
department:
- _id: '154'
language:
- iso: eng
page: 554-564
publication: Proceedings of the 2nd International Conference on Uncertainty Quantification
in Computational Sciences and Engineering, Rhode Island, 15.-17.06.2017
status: public
title: '"Fuzzy and stochastic analysis of rubber like materials"'
type: conference
user_id: '78813'
year: '2017'
...
---
_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: Proceedings of
the 2nd International Conference on Uncertainty Quantification in Computational
Sciences and Engineering (UNCECOMP 2017). ; 2017. doi:10.7712/120217.5391.16785'
apa: Penner, E., Caylak, I., & Mahnken, R. (2017). MULTIDIMENSIONAL STOCHASTIC
MATERIAL MODELING AT LARGE DEFORMATIONS CONSIDERING PARAMETER CORRELATIONS. Proceedings
of the 2nd International Conference on Uncertainty Quantification in Computational
Sciences and Engineering (UNCECOMP 2017). https://doi.org/10.7712/120217.5391.16785
bibtex: '@inproceedings{Penner_Caylak_Mahnken_2017, title={MULTIDIMENSIONAL STOCHASTIC
MATERIAL MODELING AT LARGE DEFORMATIONS CONSIDERING PARAMETER CORRELATIONS}, DOI={10.7712/120217.5391.16785},
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
Proceedings of the 2nd International Conference on Uncertainty Quantification
in Computational Sciences and Engineering (UNCECOMP 2017), 2017. https://doi.org/10.7712/120217.5391.16785.
ieee: 'E. Penner, I. Caylak, and R. Mahnken, “MULTIDIMENSIONAL STOCHASTIC MATERIAL
MODELING AT LARGE DEFORMATIONS CONSIDERING PARAMETER CORRELATIONS,” 2017, doi:
10.7712/120217.5391.16785.'
mla: Penner, Eduard, et al. “MULTIDIMENSIONAL STOCHASTIC MATERIAL MODELING AT LARGE
DEFORMATIONS CONSIDERING PARAMETER CORRELATIONS.” Proceedings of the 2nd International
Conference on Uncertainty Quantification in Computational Sciences and Engineering
(UNCECOMP 2017), 2017, doi:10.7712/120217.5391.16785.
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: '19423'
author:
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
- first_name: Christian
full_name: Dammann, Christian
last_name: Dammann
- first_name: Peter
full_name: Lenz, Peter
id: '49691'
last_name: Lenz
citation:
ama: Mahnken R, Dammann C, Lenz P. (n)- AND (n + 1)-LAYERED COMPOSITE SPHERE MODELS
FOR THERMO-CHEMO-MECHANICAL EFFECTIVE PROPERTIES. International Journal for
Multiscale Computational Engineering. Published online 2017:295-322. doi:10.1615/intjmultcompeng.2017020304
apa: Mahnken, R., Dammann, C., & Lenz, P. (2017). (n)- AND (n + 1)-LAYERED COMPOSITE
SPHERE MODELS FOR THERMO-CHEMO-MECHANICAL EFFECTIVE PROPERTIES. International
Journal for Multiscale Computational Engineering, 295–322. https://doi.org/10.1615/intjmultcompeng.2017020304
bibtex: '@article{Mahnken_Dammann_Lenz_2017, title={(n)- AND (n + 1)-LAYERED COMPOSITE
SPHERE MODELS FOR THERMO-CHEMO-MECHANICAL EFFECTIVE PROPERTIES}, DOI={10.1615/intjmultcompeng.2017020304},
journal={International Journal for Multiscale Computational Engineering}, author={Mahnken,
Rolf and Dammann, Christian and Lenz, Peter}, year={2017}, pages={295–322} }'
chicago: Mahnken, Rolf, Christian Dammann, and Peter Lenz. “(N)- AND (n + 1)-LAYERED
COMPOSITE SPHERE MODELS FOR THERMO-CHEMO-MECHANICAL EFFECTIVE PROPERTIES.” International
Journal for Multiscale Computational Engineering, 2017, 295–322. https://doi.org/10.1615/intjmultcompeng.2017020304.
ieee: 'R. Mahnken, C. Dammann, and P. Lenz, “(n)- AND (n + 1)-LAYERED COMPOSITE
SPHERE MODELS FOR THERMO-CHEMO-MECHANICAL EFFECTIVE PROPERTIES,” International
Journal for Multiscale Computational Engineering, pp. 295–322, 2017, doi:
10.1615/intjmultcompeng.2017020304.'
mla: Mahnken, Rolf, et al. “(N)- AND (n + 1)-LAYERED COMPOSITE SPHERE MODELS FOR
THERMO-CHEMO-MECHANICAL EFFECTIVE PROPERTIES.” International Journal for Multiscale
Computational Engineering, 2017, pp. 295–322, doi:10.1615/intjmultcompeng.2017020304.
short: R. Mahnken, C. Dammann, P. Lenz, International Journal for Multiscale Computational
Engineering (2017) 295–322.
date_created: 2020-09-15T18:00:50Z
date_updated: 2023-01-24T14:14:09Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1615/intjmultcompeng.2017020304
language:
- iso: eng
page: 295-322
publication: International Journal for Multiscale Computational Engineering
publication_identifier:
issn:
- 1543-1649
publication_status: published
quality_controlled: '1'
status: public
title: (n)- AND (n + 1)-LAYERED COMPOSITE SPHERE MODELS FOR THERMO-CHEMO-MECHANICAL
EFFECTIVE PROPERTIES
type: journal_article
user_id: '335'
year: '2017'
...
---
_id: '21710'
author:
- first_name: Christian
full_name: Dammann, Christian
last_name: Dammann
- first_name: Peter
full_name: Lenz, Peter
id: '49691'
last_name: Lenz
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
citation:
ama: Dammann C, Lenz P, Mahnken R. Thermo-chemo-mechanical Effective Properties
for Homogeneous and Heterogeneous n -Phase Mixtures with Application to Curing.
Procedia CIRP. Published online 2017:51-56. doi:10.1016/j.procir.2017.03.360
apa: Dammann, C., Lenz, P., & Mahnken, R. (2017). Thermo-chemo-mechanical Effective
Properties for Homogeneous and Heterogeneous n -Phase Mixtures with Application
to Curing. Procedia CIRP, 51–56. https://doi.org/10.1016/j.procir.2017.03.360
bibtex: '@article{Dammann_Lenz_Mahnken_2017, title={Thermo-chemo-mechanical Effective
Properties for Homogeneous and Heterogeneous n -Phase Mixtures with Application
to Curing}, DOI={10.1016/j.procir.2017.03.360},
journal={Procedia CIRP}, author={Dammann, Christian and Lenz, Peter and Mahnken,
Rolf}, year={2017}, pages={51–56} }'
chicago: Dammann, Christian, Peter Lenz, and Rolf Mahnken. “Thermo-Chemo-Mechanical
Effective Properties for Homogeneous and Heterogeneous n -Phase Mixtures with
Application to Curing.” Procedia CIRP, 2017, 51–56. https://doi.org/10.1016/j.procir.2017.03.360.
ieee: 'C. Dammann, P. Lenz, and R. Mahnken, “Thermo-chemo-mechanical Effective Properties
for Homogeneous and Heterogeneous n -Phase Mixtures with Application to Curing,”
Procedia CIRP, pp. 51–56, 2017, doi: 10.1016/j.procir.2017.03.360.'
mla: Dammann, Christian, et al. “Thermo-Chemo-Mechanical Effective Properties for
Homogeneous and Heterogeneous n -Phase Mixtures with Application to Curing.” Procedia
CIRP, 2017, pp. 51–56, doi:10.1016/j.procir.2017.03.360.
short: C. Dammann, P. Lenz, R. Mahnken, Procedia CIRP (2017) 51–56.
date_created: 2021-04-21T13:36:59Z
date_updated: 2023-01-24T14:13:29Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1016/j.procir.2017.03.360
language:
- iso: eng
page: 51-56
publication: Procedia CIRP
publication_identifier:
issn:
- 2212-8271
publication_status: published
quality_controlled: '1'
status: public
title: Thermo-chemo-mechanical Effective Properties for Homogeneous and Heterogeneous
n -Phase Mixtures with Application to Curing
type: journal_article
user_id: '335'
year: '2017'
...
---
_id: '24521'
author:
- first_name: E.
full_name: Uhlmann, E.
last_name: Uhlmann
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
- first_name: I. M.
full_name: Ivanov, I. M.
last_name: Ivanov
- first_name: C.
full_name: Cheng, C.
last_name: Cheng
citation:
ama: 'Uhlmann E, Mahnken R, Ivanov IM, Cheng C. Thermo-Mechanical Simulation of
Hard Turning with Macroscopic Models. In: Lecture Notes in Production Engineering.
; 2017. doi:10.1007/978-3-319-57120-1_7'
apa: Uhlmann, E., Mahnken, R., Ivanov, I. M., & Cheng, C. (2017). Thermo-Mechanical
Simulation of Hard Turning with Macroscopic Models. In Lecture Notes in Production
Engineering. https://doi.org/10.1007/978-3-319-57120-1_7
bibtex: '@inbook{Uhlmann_Mahnken_Ivanov_Cheng_2017, place={Cham}, title={Thermo-Mechanical
Simulation of Hard Turning with Macroscopic Models}, DOI={10.1007/978-3-319-57120-1_7},
booktitle={Lecture Notes in Production Engineering}, author={Uhlmann, E. and Mahnken,
Rolf and Ivanov, I. M. and Cheng, C.}, year={2017} }'
chicago: Uhlmann, E., Rolf Mahnken, I. M. Ivanov, and C. Cheng. “Thermo-Mechanical
Simulation of Hard Turning with Macroscopic Models.” In Lecture Notes in Production
Engineering. Cham, 2017. https://doi.org/10.1007/978-3-319-57120-1_7.
ieee: E. Uhlmann, R. Mahnken, I. M. Ivanov, and C. Cheng, “Thermo-Mechanical Simulation
of Hard Turning with Macroscopic Models,” in Lecture Notes in Production Engineering,
Cham, 2017.
mla: Uhlmann, E., et al. “Thermo-Mechanical Simulation of Hard Turning with Macroscopic
Models.” Lecture Notes in Production Engineering, 2017, doi:10.1007/978-3-319-57120-1_7.
short: 'E. Uhlmann, R. Mahnken, I.M. Ivanov, C. Cheng, in: Lecture Notes in Production
Engineering, Cham, 2017.'
date_created: 2021-09-15T12:22:54Z
date_updated: 2023-01-24T14:14:48Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1007/978-3-319-57120-1_7
language:
- iso: eng
place: Cham
publication: Lecture Notes in Production Engineering
publication_identifier:
issn:
- 2194-0525
- 2194-0533
publication_status: published
quality_controlled: '1'
status: public
title: Thermo-Mechanical Simulation of Hard Turning with Macroscopic Models
type: book_chapter
user_id: '335'
year: '2017'
...
---
_id: '45108'
author:
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
citation:
ama: Mahnken R. Effective Meso Properties for Fibre Reinforced Polymer Curing.;
2017.
apa: Mahnken, R. (2017). Effective meso properties for fibre reinforced polymer
curing.
bibtex: '@book{Mahnken_2017, title={Effective meso properties for fibre reinforced
polymer curing}, author={Mahnken, Rolf}, year={2017} }'
chicago: Mahnken, Rolf. Effective Meso Properties for Fibre Reinforced Polymer
Curing, 2017.
ieee: R. Mahnken, Effective meso properties for fibre reinforced polymer curing.
2017.
mla: Mahnken, Rolf. Effective Meso Properties for Fibre Reinforced Polymer Curing.
2017.
short: R. Mahnken, Effective Meso Properties for Fibre Reinforced Polymer Curing,
2017.
date_created: 2023-05-17T13:23:35Z
date_updated: 2023-05-17T13:25:31Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
language:
- iso: eng
main_file_link:
- url: https://scholar.google.com/scholar?hl=de&as_sdt=0%2C5&q=Effective+meso+properties+for+fibre+reinforced+polymer+curing&btnG=
quality_controlled: '1'
status: public
title: Effective meso properties for fibre reinforced polymer curing
type: book
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. A Stochastic Finite
Element Method with a Deviatoric-volumetric Split for the Stochastic Linear Isotropic
Elasticity Tensor. Published online 2016. doi:10.24352/UB.OVGU-2017-003
apa: Mahnken, R., Caylak, I., & Dridger, A. (2016). A Stochastic Finite Element
Method with a Deviatoric-volumetric Split for the Stochastic Linear Isotropic
Elasticity Tensor. A Stochastic Finite Element Method with a Deviatoric-Volumetric
Split for the Stochastic Linear Isotropic Elasticity Tensor. https://doi.org/10.24352/UB.OVGU-2017-003
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={10.24352/UB.OVGU-2017-003},
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.” A Stochastic Finite Element Method with a Deviatoric-Volumetric
Split for the Stochastic Linear Isotropic Elasticity Tensor, 2016. https://doi.org/10.24352/UB.OVGU-2017-003.
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,” A Stochastic Finite Element Method with a Deviatoric-volumetric Split
for the Stochastic Linear Isotropic Elasticity Tensor, 2016, doi: 10.24352/UB.OVGU-2017-003.'
mla: Mahnken, Rolf, et al. “A Stochastic Finite Element Method with a Deviatoric-Volumetric
Split for the Stochastic Linear Isotropic Elasticity Tensor.” A Stochastic
Finite Element Method with a Deviatoric-Volumetric Split for the Stochastic Linear
Isotropic Elasticity Tensor, 2016, doi:10.24352/UB.OVGU-2017-003.
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: '24647'
article_number: '012016'
author:
- first_name: Ulrich
full_name: Ehlenbröker, Ulrich
last_name: Ehlenbröker
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
- first_name: M
full_name: Petersmann, M
last_name: Petersmann
- first_name: T
full_name: Antretter, T
last_name: Antretter
citation:
ama: 'Ehlenbröker U, Mahnken R, Petersmann M, Antretter T. Modeling of variant-interaction
during bainitic phase transformation. IOP Conference Series: Materials Science
and Engineering. Published online 2016. doi:10.1088/1757-899x/119/1/012016'
apa: 'Ehlenbröker, U., Mahnken, R., Petersmann, M., & Antretter, T. (2016).
Modeling of variant-interaction during bainitic phase transformation. IOP Conference
Series: Materials Science and Engineering, Article 012016. https://doi.org/10.1088/1757-899x/119/1/012016'
bibtex: '@article{Ehlenbröker_Mahnken_Petersmann_Antretter_2016, title={Modeling
of variant-interaction during bainitic phase transformation}, DOI={10.1088/1757-899x/119/1/012016},
number={012016}, journal={IOP Conference Series: Materials Science and Engineering},
author={Ehlenbröker, Ulrich and Mahnken, Rolf and Petersmann, M and Antretter,
T}, year={2016} }'
chicago: 'Ehlenbröker, Ulrich, Rolf Mahnken, M Petersmann, and T Antretter. “Modeling
of Variant-Interaction during Bainitic Phase Transformation.” IOP Conference
Series: Materials Science and Engineering, 2016. https://doi.org/10.1088/1757-899x/119/1/012016.'
ieee: 'U. Ehlenbröker, R. Mahnken, M. Petersmann, and T. Antretter, “Modeling of
variant-interaction during bainitic phase transformation,” IOP Conference Series:
Materials Science and Engineering, Art. no. 012016, 2016, doi: 10.1088/1757-899x/119/1/012016.'
mla: 'Ehlenbröker, Ulrich, et al. “Modeling of Variant-Interaction during Bainitic
Phase Transformation.” IOP Conference Series: Materials Science and Engineering,
012016, 2016, doi:10.1088/1757-899x/119/1/012016.'
short: 'U. Ehlenbröker, R. Mahnken, M. Petersmann, T. Antretter, IOP Conference
Series: Materials Science and Engineering (2016).'
date_created: 2021-09-17T10:13:34Z
date_updated: 2023-01-24T14:23:11Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1088/1757-899x/119/1/012016
language:
- iso: eng
publication: 'IOP Conference Series: Materials Science and Engineering'
publication_identifier:
issn:
- 1757-8981
- 1757-899X
publication_status: published
quality_controlled: '1'
status: public
title: Modeling of variant-interaction during bainitic phase transformation
type: journal_article
user_id: '335'
year: '2016'
...
---
_id: '24642'
author:
- first_name: C.
full_name: Cheng, C.
last_name: Cheng
- first_name: Rolf
full_name: Mahnken, Rolf
id: '335'
last_name: Mahnken
citation:
ama: 'Cheng C, Mahnken R. Extension of a multi-mechanism model: Hardness-based flow
and transformation induced plasticity for austenitization. International Journal
of Solids and Structures. Published online 2016:127-141. doi:10.1016/j.ijsolstr.2016.10.010'
apa: 'Cheng, C., & Mahnken, R. (2016). Extension of a multi-mechanism model:
Hardness-based flow and transformation induced plasticity for austenitization.
International Journal of Solids and Structures, 127–141. https://doi.org/10.1016/j.ijsolstr.2016.10.010'
bibtex: '@article{Cheng_Mahnken_2016, title={Extension of a multi-mechanism model:
Hardness-based flow and transformation induced plasticity for austenitization},
DOI={10.1016/j.ijsolstr.2016.10.010},
journal={International Journal of Solids and Structures}, author={Cheng, C. and
Mahnken, Rolf}, year={2016}, pages={127–141} }'
chicago: 'Cheng, C., and Rolf Mahnken. “Extension of a Multi-Mechanism Model: Hardness-Based
Flow and Transformation Induced Plasticity for Austenitization.” International
Journal of Solids and Structures, 2016, 127–41. https://doi.org/10.1016/j.ijsolstr.2016.10.010.'
ieee: 'C. Cheng and R. Mahnken, “Extension of a multi-mechanism model: Hardness-based
flow and transformation induced plasticity for austenitization,” International
Journal of Solids and Structures, pp. 127–141, 2016, doi: 10.1016/j.ijsolstr.2016.10.010.'
mla: 'Cheng, C., and Rolf Mahnken. “Extension of a Multi-Mechanism Model: Hardness-Based
Flow and Transformation Induced Plasticity for Austenitization.” International
Journal of Solids and Structures, 2016, pp. 127–41, doi:10.1016/j.ijsolstr.2016.10.010.'
short: C. Cheng, R. Mahnken, International Journal of Solids and Structures (2016)
127–141.
date_created: 2021-09-17T10:08:53Z
date_updated: 2023-01-24T14:21:51Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1016/j.ijsolstr.2016.10.010
language:
- iso: eng
page: 127-141
publication: International Journal of Solids and Structures
publication_identifier:
issn:
- 0020-7683
publication_status: published
quality_controlled: '1'
status: public
title: 'Extension of a multi-mechanism model: Hardness-based flow and transformation
induced plasticity for austenitization'
type: journal_article
user_id: '335'
year: '2016'
...