---
_id: '24392'
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. An uncertainty model for the curing process
    of transversely fiber reinforced plastics. <i>PAMM</i>. Published online 2021.
    doi:<a href="https://doi.org/10.1002/pamm.202000178">10.1002/pamm.202000178</a>
  apa: Penner, E., Caylak, I., &#38; Mahnken, R. (2021). An uncertainty model for
    the curing process of transversely fiber reinforced plastics. <i>PAMM</i>. <a
    href="https://doi.org/10.1002/pamm.202000178">https://doi.org/10.1002/pamm.202000178</a>
  bibtex: '@article{Penner_Caylak_Mahnken_2021, title={An uncertainty model for the
    curing process of transversely fiber reinforced plastics}, DOI={<a href="https://doi.org/10.1002/pamm.202000178">10.1002/pamm.202000178</a>},
    journal={PAMM}, author={Penner, Eduard and Caylak, Ismail and Mahnken, Rolf},
    year={2021} }'
  chicago: Penner, Eduard, Ismail Caylak, and Rolf Mahnken. “An Uncertainty Model
    for the Curing Process of Transversely Fiber Reinforced Plastics.” <i>PAMM</i>,
    2021. <a href="https://doi.org/10.1002/pamm.202000178">https://doi.org/10.1002/pamm.202000178</a>.
  ieee: 'E. Penner, I. Caylak, and R. Mahnken, “An uncertainty model for the curing
    process of transversely fiber reinforced plastics,” <i>PAMM</i>, 2021, doi: <a
    href="https://doi.org/10.1002/pamm.202000178">10.1002/pamm.202000178</a>.'
  mla: Penner, Eduard, et al. “An Uncertainty Model for the Curing Process of Transversely
    Fiber Reinforced Plastics.” <i>PAMM</i>, 2021, doi:<a href="https://doi.org/10.1002/pamm.202000178">10.1002/pamm.202000178</a>.
  short: E. Penner, I. Caylak, R. Mahnken, PAMM (2021).
date_created: 2021-09-14T12:08:38Z
date_updated: 2023-01-24T12:43:54Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1002/pamm.202000178
language:
- iso: eng
publication: PAMM
publication_identifier:
  issn:
  - 1617-7061
  - 1617-7061
publication_status: published
status: public
title: An uncertainty model for the curing process of transversely fiber reinforced
  plastics
type: journal_article
user_id: '335'
year: '2021'
...
---
_id: '21681'
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
- first_name: Alex
  full_name: Dridger, Alex
  last_name: Dridger
citation:
  ama: Penner E, Caylak I, Mahnken R, Dridger A. Fuzzy and stochastic approach applied
    to rubber like materials. <i>Safety and Reliability</i>. Published online 2021:1-19.
    doi:<a href="https://doi.org/10.1080/09617353.2020.1858678">10.1080/09617353.2020.1858678</a>
  apa: Penner, E., Caylak, I., Mahnken, R., &#38; Dridger, A. (2021). Fuzzy and stochastic
    approach applied to rubber like materials. <i>Safety and Reliability</i>, 1–19.
    <a href="https://doi.org/10.1080/09617353.2020.1858678">https://doi.org/10.1080/09617353.2020.1858678</a>
  bibtex: '@article{Penner_Caylak_Mahnken_Dridger_2021, title={Fuzzy and stochastic
    approach applied to rubber like materials}, DOI={<a href="https://doi.org/10.1080/09617353.2020.1858678">10.1080/09617353.2020.1858678</a>},
    journal={Safety and Reliability}, author={Penner, Eduard and Caylak, Ismail and
    Mahnken, Rolf and Dridger, Alex}, year={2021}, pages={1–19} }'
  chicago: Penner, Eduard, Ismail Caylak, Rolf Mahnken, and Alex Dridger. “Fuzzy and
    Stochastic Approach Applied to Rubber like Materials.” <i>Safety and Reliability</i>,
    2021, 1–19. <a href="https://doi.org/10.1080/09617353.2020.1858678">https://doi.org/10.1080/09617353.2020.1858678</a>.
  ieee: 'E. Penner, I. Caylak, R. Mahnken, and A. Dridger, “Fuzzy and stochastic approach
    applied to rubber like materials,” <i>Safety and Reliability</i>, pp. 1–19, 2021,
    doi: <a href="https://doi.org/10.1080/09617353.2020.1858678">10.1080/09617353.2020.1858678</a>.'
  mla: Penner, Eduard, et al. “Fuzzy and Stochastic Approach Applied to Rubber like
    Materials.” <i>Safety and Reliability</i>, 2021, pp. 1–19, doi:<a href="https://doi.org/10.1080/09617353.2020.1858678">10.1080/09617353.2020.1858678</a>.
  short: E. Penner, I. Caylak, R. Mahnken, A. Dridger, Safety and Reliability (2021)
    1–19.
date_created: 2021-04-21T06:35:08Z
date_updated: 2023-01-24T13:06:18Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1080/09617353.2020.1858678
language:
- iso: eng
page: 1-19
publication: Safety and Reliability
publication_identifier:
  issn:
  - 0961-7353
  - 2469-4126
publication_status: published
quality_controlled: '1'
status: public
title: Fuzzy and stochastic approach applied to rubber like materials
type: journal_article
user_id: '335'
year: '2021'
...
---
_id: '24374'
article_number: '113439'
author:
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
- first_name: Eduard
  full_name: Penner, Eduard
  id: '27973'
  last_name: Penner
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Caylak I, Penner E, Mahnken R. Mean-field and full-field homogenization with
    polymorphic uncertain geometry and material parameters. <i>Computer Methods in
    Applied Mechanics and Engineering</i>. Published online 2020. doi:<a href="https://doi.org/10.1016/j.cma.2020.113439">10.1016/j.cma.2020.113439</a>
  apa: Caylak, I., Penner, E., &#38; Mahnken, R. (2020). Mean-field and full-field
    homogenization with polymorphic uncertain geometry and material parameters. <i>Computer
    Methods in Applied Mechanics and Engineering</i>, Article 113439. <a href="https://doi.org/10.1016/j.cma.2020.113439">https://doi.org/10.1016/j.cma.2020.113439</a>
  bibtex: '@article{Caylak_Penner_Mahnken_2020, title={Mean-field and full-field homogenization
    with polymorphic uncertain geometry and material parameters}, DOI={<a href="https://doi.org/10.1016/j.cma.2020.113439">10.1016/j.cma.2020.113439</a>},
    number={113439}, journal={Computer Methods in Applied Mechanics and Engineering},
    author={Caylak, Ismail and Penner, Eduard and Mahnken, Rolf}, year={2020} }'
  chicago: Caylak, Ismail, Eduard Penner, and Rolf Mahnken. “Mean-Field and Full-Field
    Homogenization with Polymorphic Uncertain Geometry and Material Parameters.” <i>Computer
    Methods in Applied Mechanics and Engineering</i>, 2020. <a href="https://doi.org/10.1016/j.cma.2020.113439">https://doi.org/10.1016/j.cma.2020.113439</a>.
  ieee: 'I. Caylak, E. Penner, and R. Mahnken, “Mean-field and full-field homogenization
    with polymorphic uncertain geometry and material parameters,” <i>Computer Methods
    in Applied Mechanics and Engineering</i>, Art. no. 113439, 2020, doi: <a href="https://doi.org/10.1016/j.cma.2020.113439">10.1016/j.cma.2020.113439</a>.'
  mla: Caylak, Ismail, et al. “Mean-Field and Full-Field Homogenization with Polymorphic
    Uncertain Geometry and Material Parameters.” <i>Computer Methods in Applied Mechanics
    and Engineering</i>, 113439, 2020, doi:<a href="https://doi.org/10.1016/j.cma.2020.113439">10.1016/j.cma.2020.113439</a>.
  short: I. Caylak, E. Penner, R. Mahnken, Computer Methods in Applied Mechanics and
    Engineering (2020).
date_created: 2021-09-14T11:18:05Z
date_updated: 2023-01-24T14:03:55Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1016/j.cma.2020.113439
language:
- iso: eng
publication: Computer Methods in Applied Mechanics and Engineering
publication_identifier:
  issn:
  - 0045-7825
publication_status: published
quality_controlled: '1'
status: public
title: Mean-field and full-field homogenization with polymorphic uncertain geometry
  and material parameters
type: journal_article
user_id: '335'
year: '2020'
...
---
_id: '19297'
author:
- first_name: A.
  full_name: Dridger, A.
  last_name: Dridger
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
- first_name: R.
  full_name: Mahnken, R.
  last_name: Mahnken
- first_name: Eduard
  full_name: Penner, Eduard
  id: '27973'
  last_name: Penner
citation:
  ama: Dridger A, Caylak I, Mahnken R, Penner E. A possibilistic finite element method
    for sparse data. <i>Safety and Reliability</i>. 2019:58-82. doi:<a href="https://doi.org/10.1080/09617353.2018.1552477">10.1080/09617353.2018.1552477</a>
  apa: Dridger, A., Caylak, I., Mahnken, R., &#38; Penner, E. (2019). A possibilistic
    finite element method for sparse data. <i>Safety and Reliability</i>, 58–82. <a
    href="https://doi.org/10.1080/09617353.2018.1552477">https://doi.org/10.1080/09617353.2018.1552477</a>
  bibtex: '@article{Dridger_Caylak_Mahnken_Penner_2019, title={A possibilistic finite
    element method for sparse data}, DOI={<a href="https://doi.org/10.1080/09617353.2018.1552477">10.1080/09617353.2018.1552477</a>},
    journal={Safety and Reliability}, author={Dridger, A. and Caylak, Ismail and Mahnken,
    R. and Penner, Eduard}, year={2019}, pages={58–82} }'
  chicago: Dridger, A., Ismail Caylak, R. Mahnken, and Eduard Penner. “A Possibilistic
    Finite Element Method for Sparse Data.” <i>Safety and Reliability</i>, 2019, 58–82.
    <a href="https://doi.org/10.1080/09617353.2018.1552477">https://doi.org/10.1080/09617353.2018.1552477</a>.
  ieee: A. Dridger, I. Caylak, R. Mahnken, and E. Penner, “A possibilistic finite
    element method for sparse data,” <i>Safety and Reliability</i>, pp. 58–82, 2019.
  mla: Dridger, A., et al. “A Possibilistic Finite Element Method for Sparse Data.”
    <i>Safety and Reliability</i>, 2019, pp. 58–82, doi:<a href="https://doi.org/10.1080/09617353.2018.1552477">10.1080/09617353.2018.1552477</a>.
  short: A. Dridger, I. Caylak, R. Mahnken, E. Penner, Safety and Reliability (2019)
    58–82.
date_created: 2020-09-11T09:44:02Z
date_updated: 2022-01-06T06:54:01Z
doi: 10.1080/09617353.2018.1552477
language:
- iso: eng
page: 58-82
publication: Safety and Reliability
publication_identifier:
  issn:
  - 0961-7353
  - 2469-4126
publication_status: published
status: public
title: A possibilistic finite element method for sparse data
type: journal_article
user_id: '75'
year: '2019'
...
---
_id: '19300'
article_number: e201900005
author:
- first_name: Markus
  full_name: Mäck, Markus
  last_name: Mäck
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
- first_name: Philipp
  full_name: Edler, Philipp
  last_name: Edler
- first_name: Steffen
  full_name: Freitag, Steffen
  last_name: Freitag
- first_name: Michael
  full_name: Hanss, Michael
  last_name: Hanss
- first_name: Rolf
  full_name: Mahnken, Rolf
  last_name: Mahnken
- first_name: Günther
  full_name: Meschke, Günther
  last_name: Meschke
- first_name: Eduard
  full_name: Penner, Eduard
  id: '27973'
  last_name: Penner
citation:
  ama: Mäck M, Caylak I, Edler P, et al. Optimization with constraints considering
    polymorphic uncertainties. <i>GAMM-Mitteilungen</i>. Published online 2019. doi:<a
    href="https://doi.org/10.1002/gamm.201900005">10.1002/gamm.201900005</a>
  apa: Mäck, M., Caylak, I., Edler, P., Freitag, S., Hanss, M., Mahnken, R., Meschke,
    G., &#38; Penner, E. (2019). Optimization with constraints considering polymorphic
    uncertainties. <i>GAMM-Mitteilungen</i>, Article e201900005. <a href="https://doi.org/10.1002/gamm.201900005">https://doi.org/10.1002/gamm.201900005</a>
  bibtex: '@article{Mäck_Caylak_Edler_Freitag_Hanss_Mahnken_Meschke_Penner_2019, title={Optimization
    with constraints considering polymorphic uncertainties}, DOI={<a href="https://doi.org/10.1002/gamm.201900005">10.1002/gamm.201900005</a>},
    number={e201900005}, journal={GAMM-Mitteilungen}, author={Mäck, Markus and Caylak,
    Ismail and Edler, Philipp and Freitag, Steffen and Hanss, Michael and Mahnken,
    Rolf and Meschke, Günther and Penner, Eduard}, year={2019} }'
  chicago: Mäck, Markus, Ismail Caylak, Philipp Edler, Steffen Freitag, Michael Hanss,
    Rolf Mahnken, Günther Meschke, and Eduard Penner. “Optimization with Constraints
    Considering Polymorphic Uncertainties.” <i>GAMM-Mitteilungen</i>, 2019. <a href="https://doi.org/10.1002/gamm.201900005">https://doi.org/10.1002/gamm.201900005</a>.
  ieee: 'M. Mäck <i>et al.</i>, “Optimization with constraints considering polymorphic
    uncertainties,” <i>GAMM-Mitteilungen</i>, Art. no. e201900005, 2019, doi: <a href="https://doi.org/10.1002/gamm.201900005">10.1002/gamm.201900005</a>.'
  mla: Mäck, Markus, et al. “Optimization with Constraints Considering Polymorphic
    Uncertainties.” <i>GAMM-Mitteilungen</i>, e201900005, 2019, doi:<a href="https://doi.org/10.1002/gamm.201900005">10.1002/gamm.201900005</a>.
  short: M. Mäck, I. Caylak, P. Edler, S. Freitag, M. Hanss, R. Mahnken, G. Meschke,
    E. Penner, GAMM-Mitteilungen (2019).
date_created: 2020-09-11T09:48:23Z
date_updated: 2022-07-27T07:04:05Z
doi: 10.1002/gamm.201900005
language:
- iso: eng
publication: GAMM-Mitteilungen
publication_identifier:
  issn:
  - 0936-7195
publication_status: published
status: public
title: Optimization with constraints considering polymorphic uncertainties
type: journal_article
user_id: '27973'
year: '2019'
...
---
_id: '19122'
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. A polynomial chaos expanded hybrid
    fuzzy-stochastic model for transversely fiber reinforced plastics. <i>Mathematics
    and Mechanics of Complex Systems</i>. Published online 2019:99-129. doi:<a href="https://doi.org/10.2140/memocs.2019.7.99">10.2140/memocs.2019.7.99</a>
  apa: Penner, E., Caylak, I., Dridger, A., &#38; Mahnken, R. (2019). A polynomial
    chaos expanded hybrid fuzzy-stochastic model for transversely fiber reinforced
    plastics. <i>Mathematics and Mechanics of Complex Systems</i>, 99–129. <a href="https://doi.org/10.2140/memocs.2019.7.99">https://doi.org/10.2140/memocs.2019.7.99</a>
  bibtex: '@article{Penner_Caylak_Dridger_Mahnken_2019, title={A polynomial chaos
    expanded hybrid fuzzy-stochastic model for transversely fiber reinforced plastics},
    DOI={<a href="https://doi.org/10.2140/memocs.2019.7.99">10.2140/memocs.2019.7.99</a>},
    journal={Mathematics and Mechanics of Complex Systems}, author={Penner, Eduard
    and Caylak, Ismail and Dridger, Alex and Mahnken, Rolf}, year={2019}, pages={99–129}
    }'
  chicago: Penner, Eduard, Ismail Caylak, Alex Dridger, and Rolf Mahnken. “A Polynomial
    Chaos Expanded Hybrid Fuzzy-Stochastic Model for Transversely Fiber Reinforced
    Plastics.” <i>Mathematics and Mechanics of Complex Systems</i>, 2019, 99–129.
    <a href="https://doi.org/10.2140/memocs.2019.7.99">https://doi.org/10.2140/memocs.2019.7.99</a>.
  ieee: 'E. Penner, I. Caylak, A. Dridger, and R. Mahnken, “A polynomial chaos expanded
    hybrid fuzzy-stochastic model for transversely fiber reinforced plastics,” <i>Mathematics
    and Mechanics of Complex Systems</i>, pp. 99–129, 2019, doi: <a href="https://doi.org/10.2140/memocs.2019.7.99">10.2140/memocs.2019.7.99</a>.'
  mla: Penner, Eduard, et al. “A Polynomial Chaos Expanded Hybrid Fuzzy-Stochastic
    Model for Transversely Fiber Reinforced Plastics.” <i>Mathematics and Mechanics
    of Complex Systems</i>, 2019, pp. 99–129, doi:<a href="https://doi.org/10.2140/memocs.2019.7.99">10.2140/memocs.2019.7.99</a>.
  short: E. Penner, I. Caylak, A. Dridger, R. Mahnken, Mathematics and Mechanics of
    Complex Systems (2019) 99–129.
date_created: 2020-09-08T10:24:25Z
date_updated: 2023-01-24T14:07:05Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.2140/memocs.2019.7.99
language:
- iso: eng
page: 99-129
publication: Mathematics and Mechanics of Complex Systems
publication_identifier:
  issn:
  - 2325-3444
  - 2326-7186
publication_status: published
quality_controlled: '1'
status: public
title: A polynomial chaos expanded hybrid fuzzy-stochastic model for transversely
  fiber reinforced plastics
type: journal_article
user_id: '335'
year: '2019'
...
---
_id: '19120'
author:
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
- first_name: Eduard
  full_name: Penner, Eduard
  id: '27973'
  last_name: Penner
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Caylak I, Penner E, Mahnken R. A fuzzy uncertainty model for analytical and
    numerical homogenization of transversely fiber reinforced plastics. <i>PAMM</i>.
    Published online 2019. doi:<a href="https://doi.org/10.1002/pamm.201900356">10.1002/pamm.201900356</a>
  apa: Caylak, I., Penner, E., &#38; Mahnken, R. (2019). A fuzzy uncertainty model
    for analytical and numerical homogenization of transversely fiber reinforced plastics.
    <i>PAMM</i>. <a href="https://doi.org/10.1002/pamm.201900356">https://doi.org/10.1002/pamm.201900356</a>
  bibtex: '@article{Caylak_Penner_Mahnken_2019, title={A fuzzy uncertainty model for
    analytical and numerical homogenization of transversely fiber reinforced plastics},
    DOI={<a href="https://doi.org/10.1002/pamm.201900356">10.1002/pamm.201900356</a>},
    journal={PAMM}, author={Caylak, Ismail and Penner, Eduard and Mahnken, Rolf},
    year={2019} }'
  chicago: Caylak, Ismail, Eduard Penner, and Rolf Mahnken. “A Fuzzy Uncertainty Model
    for Analytical and Numerical Homogenization of Transversely Fiber Reinforced Plastics.”
    <i>PAMM</i>, 2019. <a href="https://doi.org/10.1002/pamm.201900356">https://doi.org/10.1002/pamm.201900356</a>.
  ieee: 'I. Caylak, E. Penner, and R. Mahnken, “A fuzzy uncertainty model for analytical
    and numerical homogenization of transversely fiber reinforced plastics,” <i>PAMM</i>,
    2019, doi: <a href="https://doi.org/10.1002/pamm.201900356">10.1002/pamm.201900356</a>.'
  mla: Caylak, Ismail, et al. “A Fuzzy Uncertainty Model for Analytical and Numerical
    Homogenization of Transversely Fiber Reinforced Plastics.” <i>PAMM</i>, 2019,
    doi:<a href="https://doi.org/10.1002/pamm.201900356">10.1002/pamm.201900356</a>.
  short: I. Caylak, E. Penner, R. Mahnken, PAMM (2019).
date_created: 2020-09-08T10:23:48Z
date_updated: 2023-01-24T14:05:01Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1002/pamm.201900356
language:
- iso: eng
publication: PAMM
publication_identifier:
  issn:
  - 1617-7061
  - 1617-7061
publication_status: published
status: public
title: A fuzzy uncertainty model for analytical and numerical homogenization of transversely
  fiber reinforced plastics
type: journal_article
user_id: '335'
year: '2019'
...
---
_id: '19306'
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
  last_name: Mahnken
- first_name: Eduard
  full_name: Penner, Eduard
  id: '27973'
  last_name: Penner
citation:
  ama: 'Dridger A, Caylak I, Mahnken R, Penner E. On the connection between possibility
    theory and probability box theory in structural mechanics. In: <i>13th World Congress
    in Computational Mechanics </i>. ; 2018.'
  apa: Dridger, A., Caylak, I., Mahnken, R., &#38; Penner, E. (2018). On the connection
    between possibility theory and probability box theory in structural mechanics.
    <i>13th World Congress in Computational Mechanics </i>. 13th World Congress in
    Computational Mechanics , New York.
  bibtex: '@inproceedings{Dridger_Caylak_Mahnken_Penner_2018, title={On the connection
    between possibility theory and probability box theory in structural mechanics},
    booktitle={13th World Congress in Computational Mechanics }, author={Dridger,
    Alex and Caylak, Ismail and Mahnken, Rolf and Penner, Eduard}, year={2018} }'
  chicago: Dridger, Alex, Ismail Caylak, Rolf Mahnken, and Eduard Penner. “On the
    Connection between Possibility Theory and Probability Box Theory in Structural
    Mechanics.” In <i>13th World Congress in Computational Mechanics </i>, 2018.
  ieee: A. Dridger, I. Caylak, R. Mahnken, and E. Penner, “On the connection between
    possibility theory and probability box theory in structural mechanics,” presented
    at the 13th World Congress in Computational Mechanics , New York, 2018.
  mla: Dridger, Alex, et al. “On the Connection between Possibility Theory and Probability
    Box Theory in Structural Mechanics.” <i>13th World Congress in Computational Mechanics
    </i>, 2018.
  short: 'A. Dridger, I. Caylak, R. Mahnken, E. Penner, in: 13th World Congress in
    Computational Mechanics , 2018.'
conference:
  end_date: 2018-07-27
  location: New York
  name: '13th World Congress in Computational Mechanics '
  start_date: 2018-07-22
date_created: 2020-09-11T10:04:36Z
date_updated: 2022-07-27T07:07:27Z
language:
- iso: eng
publication: '13th World Congress in Computational Mechanics '
status: public
title: On the connection between possibility theory and probability box theory in
  structural mechanics
type: conference
user_id: '27973'
year: '2018'
...
---
_id: '19308'
author:
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
- first_name: Eduard
  full_name: Penner, Eduard
  id: '27973'
  last_name: Penner
- first_name: Alex
  full_name: Dridger, Alex
  last_name: Dridger
- first_name: Rolf
  full_name: Mahnken, Rolf
  last_name: Mahnken
citation:
  ama: Caylak I, Penner E, Dridger A, Mahnken R. Stochastic hyperelastic modeling
    considering dependency of material parameters. <i>Computational Mechanics</i>.
    Published online 2018:1273-1285. doi:<a href="https://doi.org/10.1007/s00466-018-1563-z">10.1007/s00466-018-1563-z</a>
  apa: Caylak, I., Penner, E., Dridger, A., &#38; Mahnken, R. (2018). Stochastic hyperelastic
    modeling considering dependency of material parameters. <i>Computational Mechanics</i>,
    1273–1285. <a href="https://doi.org/10.1007/s00466-018-1563-z">https://doi.org/10.1007/s00466-018-1563-z</a>
  bibtex: '@article{Caylak_Penner_Dridger_Mahnken_2018, title={Stochastic hyperelastic
    modeling considering dependency of material parameters}, DOI={<a href="https://doi.org/10.1007/s00466-018-1563-z">10.1007/s00466-018-1563-z</a>},
    journal={Computational Mechanics}, author={Caylak, Ismail and Penner, Eduard and
    Dridger, Alex and Mahnken, Rolf}, year={2018}, pages={1273–1285} }'
  chicago: Caylak, Ismail, Eduard Penner, Alex Dridger, and Rolf Mahnken. “Stochastic
    Hyperelastic Modeling Considering Dependency of Material Parameters.” <i>Computational
    Mechanics</i>, 2018, 1273–85. <a href="https://doi.org/10.1007/s00466-018-1563-z">https://doi.org/10.1007/s00466-018-1563-z</a>.
  ieee: 'I. Caylak, E. Penner, A. Dridger, and R. Mahnken, “Stochastic hyperelastic
    modeling considering dependency of material parameters,” <i>Computational Mechanics</i>,
    pp. 1273–1285, 2018, doi: <a href="https://doi.org/10.1007/s00466-018-1563-z">10.1007/s00466-018-1563-z</a>.'
  mla: Caylak, Ismail, et al. “Stochastic Hyperelastic Modeling Considering Dependency
    of Material Parameters.” <i>Computational Mechanics</i>, 2018, pp. 1273–85, doi:<a
    href="https://doi.org/10.1007/s00466-018-1563-z">10.1007/s00466-018-1563-z</a>.
  short: I. Caylak, E. Penner, A. Dridger, R. Mahnken, Computational Mechanics (2018)
    1273–1285.
date_created: 2020-09-11T10:05:32Z
date_updated: 2022-07-27T07:05:15Z
doi: 10.1007/s00466-018-1563-z
language:
- iso: eng
page: 1273-1285
publication: Computational Mechanics
publication_identifier:
  issn:
  - 0178-7675
  - 1432-0924
publication_status: published
status: public
title: Stochastic hyperelastic modeling considering dependency of material parameters
type: journal_article
user_id: '75'
year: '2018'
...
---
_id: '19303'
author:
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
- first_name: Eduard
  full_name: Penner, Eduard
  id: '27973'
  last_name: Penner
- first_name: Alex
  full_name: Dridger, Alex
  last_name: Dridger
- first_name: Rolf
  full_name: Mahnken, Rolf
  last_name: Mahnken
citation:
  ama: Caylak I, Penner E, Dridger A, Mahnken R. A fuzzy‐stochastic model for transversely
    fiber reinforced plastics. <i>PAMM</i>. Published online 2018. doi:<a href="https://doi.org/10.1002/pamm.201800121">10.1002/pamm.201800121</a>
  apa: Caylak, I., Penner, E., Dridger, A., &#38; Mahnken, R. (2018). A fuzzy‐stochastic
    model for transversely fiber reinforced plastics. <i>PAMM</i>. <a href="https://doi.org/10.1002/pamm.201800121">https://doi.org/10.1002/pamm.201800121</a>
  bibtex: '@article{Caylak_Penner_Dridger_Mahnken_2018, title={A fuzzy‐stochastic
    model for transversely fiber reinforced plastics}, DOI={<a href="https://doi.org/10.1002/pamm.201800121">10.1002/pamm.201800121</a>},
    journal={PAMM}, author={Caylak, Ismail and Penner, Eduard and Dridger, Alex and
    Mahnken, Rolf}, year={2018} }'
  chicago: Caylak, Ismail, Eduard Penner, Alex Dridger, and Rolf Mahnken. “A Fuzzy‐stochastic
    Model for Transversely Fiber Reinforced Plastics.” <i>PAMM</i>, 2018. <a href="https://doi.org/10.1002/pamm.201800121">https://doi.org/10.1002/pamm.201800121</a>.
  ieee: 'I. Caylak, E. Penner, A. Dridger, and R. Mahnken, “A fuzzy‐stochastic model
    for transversely fiber reinforced plastics,” <i>PAMM</i>, 2018, doi: <a href="https://doi.org/10.1002/pamm.201800121">10.1002/pamm.201800121</a>.'
  mla: Caylak, Ismail, et al. “A Fuzzy‐stochastic Model for Transversely Fiber Reinforced
    Plastics.” <i>PAMM</i>, 2018, doi:<a href="https://doi.org/10.1002/pamm.201800121">10.1002/pamm.201800121</a>.
  short: I. Caylak, E. Penner, A. Dridger, R. Mahnken, PAMM (2018).
date_created: 2020-09-11T09:49:21Z
date_updated: 2022-07-27T07:06:49Z
doi: 10.1002/pamm.201800121
language:
- iso: eng
publication: PAMM
publication_identifier:
  issn:
  - 1617-7061
  - 1617-7061
publication_status: published
status: public
title: A fuzzy‐stochastic model for transversely fiber reinforced plastics
type: journal_article
user_id: '75'
year: '2018'
...
---
_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. <i>PAMM</i>. Published online 2018. doi:<a href="https://doi.org/10.1002/pamm.201800153">10.1002/pamm.201800153</a>
  apa: Penner, E., Caylak, I., Dridger, A., &#38; Mahnken, R. (2018). Possibilistic
    and stochastic analysis using for rubber‐like materials. <i>PAMM</i>. <a href="https://doi.org/10.1002/pamm.201800153">https://doi.org/10.1002/pamm.201800153</a>
  bibtex: '@article{Penner_Caylak_Dridger_Mahnken_2018, title={Possibilistic and stochastic
    analysis using for rubber‐like materials}, DOI={<a href="https://doi.org/10.1002/pamm.201800153">10.1002/pamm.201800153</a>},
    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.” <i>PAMM</i>, 2018. <a
    href="https://doi.org/10.1002/pamm.201800153">https://doi.org/10.1002/pamm.201800153</a>.
  ieee: 'E. Penner, I. Caylak, A. Dridger, and R. Mahnken, “Possibilistic and stochastic
    analysis using for rubber‐like materials,” <i>PAMM</i>, 2018, doi: <a href="https://doi.org/10.1002/pamm.201800153">10.1002/pamm.201800153</a>.'
  mla: Penner, Eduard, et al. “Possibilistic and Stochastic Analysis Using for Rubber‐like
    Materials.” <i>PAMM</i>, 2018, doi:<a href="https://doi.org/10.1002/pamm.201800153">10.1002/pamm.201800153</a>.
  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. <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: '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'
...