---
_id: '13434'
article_number: e201900005
author:
- first_name: Markus
  full_name: Mäck, Markus
  last_name: Mäck
- first_name: Ismail
  full_name: Caylak, Ismail
  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
  last_name: Penner
citation:
  ama: Mäck M, Caylak I, Edler P, et al. “Optimization with constraints considering
    polymorphic uncertainties.” <i>GAMM-Mitteilungen</i>. 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., … Penner,
    E. (2019). “Optimization with constraints considering polymorphic uncertainties.”
    <i>GAMM-Mitteilungen</i>. <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>, 2019.
  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: 2019-09-20T13:21:03Z
date_updated: 2022-01-06T06:51:36Z
department:
- _id: '154'
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: '78813'
year: '2019'
...
---
_id: '13805'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  last_name: Mahnken
- first_name: Xiaozhe
  full_name: Ju, Xiaozhe
  last_name: Ju
citation:
  ama: Mahnken R, Ju X. Goal‐oriented adaptivity based on a model hierarchy of mean‐field
    and full‐field homogenization methods in linear elasticity. <i>International Journal
    for Numerical Methods in Engineering</i>. 2019. doi:<a href="https://doi.org/10.1002/nme.6209">10.1002/nme.6209</a>
  apa: Mahnken, R., &#38; Ju, X. (2019). Goal‐oriented adaptivity based on a model
    hierarchy of mean‐field and full‐field homogenization methods in linear elasticity.
    <i>International Journal for Numerical Methods in Engineering</i>. <a href="https://doi.org/10.1002/nme.6209">https://doi.org/10.1002/nme.6209</a>
  bibtex: '@article{Mahnken_Ju_2019, title={Goal‐oriented adaptivity based on a model
    hierarchy of mean‐field and full‐field homogenization methods in linear elasticity},
    DOI={<a href="https://doi.org/10.1002/nme.6209">10.1002/nme.6209</a>}, journal={International
    Journal for Numerical Methods in Engineering}, author={Mahnken, Rolf and Ju, Xiaozhe},
    year={2019} }'
  chicago: Mahnken, Rolf, and Xiaozhe Ju. “Goal‐oriented Adaptivity Based on a Model
    Hierarchy of Mean‐field and Full‐field Homogenization Methods in Linear Elasticity.”
    <i>International Journal for Numerical Methods in Engineering</i>, 2019. <a href="https://doi.org/10.1002/nme.6209">https://doi.org/10.1002/nme.6209</a>.
  ieee: R. Mahnken and X. Ju, “Goal‐oriented adaptivity based on a model hierarchy
    of mean‐field and full‐field homogenization methods in linear elasticity,” <i>International
    Journal for Numerical Methods in Engineering</i>, 2019.
  mla: Mahnken, Rolf, and Xiaozhe Ju. “Goal‐oriented Adaptivity Based on a Model Hierarchy
    of Mean‐field and Full‐field Homogenization Methods in Linear Elasticity.” <i>International
    Journal for Numerical Methods in Engineering</i>, 2019, doi:<a href="https://doi.org/10.1002/nme.6209">10.1002/nme.6209</a>.
  short: R. Mahnken, X. Ju, International Journal for Numerical Methods in Engineering
    (2019).
date_created: 2019-10-14T12:05:50Z
date_updated: 2022-01-06T06:51:45Z
department:
- _id: '154'
doi: 10.1002/nme.6209
language:
- iso: eng
publication: International Journal for Numerical Methods in Engineering
publication_identifier:
  issn:
  - 0029-5981
  - 1097-0207
publication_status: published
status: public
title: Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field
  homogenization methods in linear elasticity
type: journal_article
user_id: '78813'
year: '2019'
...
---
_id: '13806'
author:
- first_name: Christian
  full_name: Dammann, Christian
  last_name: Dammann
- first_name: Rolf
  full_name: Mahnken, Rolf
  last_name: Mahnken
citation:
  ama: 'Dammann C, Mahnken R. Simulation of a resin transfer molding process using
    a phase field approach within the theory of porous media. <i>Composites Part A:
    Applied Science and Manufacturing</i>. 2019;120:147-160. doi:<a href="https://doi.org/10.1016/j.compositesa.2019.02.022">10.1016/j.compositesa.2019.02.022</a>'
  apa: 'Dammann, C., &#38; Mahnken, R. (2019). Simulation of a resin transfer molding
    process using a phase field approach within the theory of porous media. <i>Composites
    Part A: Applied Science and Manufacturing</i>, <i>120</i>, 147–160. <a href="https://doi.org/10.1016/j.compositesa.2019.02.022">https://doi.org/10.1016/j.compositesa.2019.02.022</a>'
  bibtex: '@article{Dammann_Mahnken_2019, title={Simulation of a resin transfer molding
    process using a phase field approach within the theory of porous media}, volume={120},
    DOI={<a href="https://doi.org/10.1016/j.compositesa.2019.02.022">10.1016/j.compositesa.2019.02.022</a>},
    journal={Composites Part A: Applied Science and Manufacturing}, author={Dammann,
    Christian and Mahnken, Rolf}, year={2019}, pages={147–160} }'
  chicago: 'Dammann, Christian, and Rolf Mahnken. “Simulation of a Resin Transfer
    Molding Process Using a Phase Field Approach within the Theory of Porous Media.”
    <i>Composites Part A: Applied Science and Manufacturing</i> 120 (2019): 147–60.
    <a href="https://doi.org/10.1016/j.compositesa.2019.02.022">https://doi.org/10.1016/j.compositesa.2019.02.022</a>.'
  ieee: 'C. Dammann and R. Mahnken, “Simulation of a resin transfer molding process
    using a phase field approach within the theory of porous media,” <i>Composites
    Part A: Applied Science and Manufacturing</i>, vol. 120, pp. 147–160, 2019.'
  mla: 'Dammann, Christian, and Rolf Mahnken. “Simulation of a Resin Transfer Molding
    Process Using a Phase Field Approach within the Theory of Porous Media.” <i>Composites
    Part A: Applied Science and Manufacturing</i>, vol. 120, 2019, pp. 147–60, doi:<a
    href="https://doi.org/10.1016/j.compositesa.2019.02.022">10.1016/j.compositesa.2019.02.022</a>.'
  short: 'C. Dammann, R. Mahnken, Composites Part A: Applied Science and Manufacturing
    120 (2019) 147–160.'
date_created: 2019-10-14T12:11:37Z
date_updated: 2022-01-06T06:51:45Z
department:
- _id: '154'
doi: 10.1016/j.compositesa.2019.02.022
intvolume: '       120'
language:
- iso: eng
page: 147-160
publication: 'Composites Part A: Applied Science and Manufacturing'
publication_identifier:
  issn:
  - 1359-835X
publication_status: published
status: public
title: Simulation of a resin transfer molding process using a phase field approach
  within the theory of porous media
type: journal_article
user_id: '78813'
volume: 120
year: '2019'
...
---
_id: '13807'
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 on mean-field and full-field homogenization
    methods considering hierarchical unit cells.” <i>PAMM</i>. 19.
  apa: Ju, X., &#38; Mahnken, R. (n.d.). “Goal-oriented adaptivity on mean-field and
    full-field homogenization methods considering hierarchical unit cells.” <i>PAMM</i>,
    <i>19</i>.
  bibtex: '@article{Ju_Mahnken, title={“Goal-oriented adaptivity on mean-field and
    full-field homogenization methods considering hierarchical unit cells”}, volume={19},
    journal={PAMM}, author={Ju, X. and Mahnken, R.} }'
  chicago: Ju, X., and R. Mahnken. “‘Goal-Oriented Adaptivity on Mean-Field and Full-Field
    Homogenization Methods Considering Hierarchical Unit Cells.’” <i>PAMM</i> 19 (n.d.).
  ieee: X. Ju and R. Mahnken, “‘Goal-oriented adaptivity on mean-field and full-field
    homogenization methods considering hierarchical unit cells,’” <i>PAMM</i>, vol.
    19.
  mla: Ju, X., and R. Mahnken. “‘Goal-Oriented Adaptivity on Mean-Field and Full-Field
    Homogenization Methods Considering Hierarchical Unit Cells.’” <i>PAMM</i>, vol.
    19.
  short: X. Ju, R. Mahnken, PAMM 19 (n.d.).
date_created: 2019-10-14T12:22:08Z
date_updated: 2022-01-06T06:51:45Z
department:
- _id: '154'
intvolume: '        19'
language:
- iso: eng
publication: PAMM
publication_status: accepted
status: public
title: '"Goal-oriented adaptivity on mean-field and full-field homogenization methods
  considering hierarchical unit cells"'
type: journal_article
user_id: '78813'
volume: 19
year: '2019'
...
---
_id: '13813'
author:
- first_name: P.
  full_name: Lenz, P.
  last_name: Lenz
- first_name: R.
  full_name: Mahnken, R.
  last_name: Mahnken
citation:
  ama: Lenz P, Mahnken R. “Damage simulation of fiber reinforced composites using
    mean-field homogenization methods” . <i>PAMM</i>. 2019;19.
  apa: Lenz, P., &#38; Mahnken, R. (2019). “Damage simulation of fiber reinforced
    composites using mean-field homogenization methods” . <i>PAMM</i>, <i>19</i>.
  bibtex: '@article{Lenz_Mahnken_2019, title={“Damage simulation of fiber reinforced
    composites using mean-field homogenization methods” }, volume={19}, journal={PAMM},
    author={Lenz, P. and Mahnken, R.}, year={2019} }'
  chicago: Lenz, P., and R. Mahnken. “‘Damage Simulation of Fiber Reinforced Composites
    Using Mean-Field Homogenization Methods’ .” <i>PAMM</i> 19 (2019).
  ieee: P. Lenz and R. Mahnken, “‘Damage simulation of fiber reinforced composites
    using mean-field homogenization methods’ ,” <i>PAMM</i>, vol. 19, 2019.
  mla: Lenz, P., and R. Mahnken. “‘Damage Simulation of Fiber Reinforced Composites
    Using Mean-Field Homogenization Methods’ .” <i>PAMM</i>, vol. 19, 2019.
  short: P. Lenz, R. Mahnken, PAMM 19 (2019).
date_created: 2019-10-14T12:38:50Z
date_updated: 2022-01-06T06:51:45Z
department:
- _id: '154'
intvolume: '        19'
language:
- iso: eng
publication: PAMM
status: public
title: '"Damage simulation of fiber reinforced composites using mean-field homogenization
  methods" '
type: journal_article
user_id: '78813'
volume: 19
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: '24429'
author:
- first_name: Xiaozhe
  full_name: Ju, Xiaozhe
  last_name: Ju
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Ju X, Mahnken R. Model adaptivity on mean‐field and full‐field homogenization
    methods considering hierarchical unit cells. <i>PAMM</i>. Published online 2019.
    doi:<a href="https://doi.org/10.1002/pamm.201900177">10.1002/pamm.201900177</a>
  apa: Ju, X., &#38; Mahnken, R. (2019). Model adaptivity on mean‐field and full‐field
    homogenization methods considering hierarchical unit cells. <i>PAMM</i>. <a href="https://doi.org/10.1002/pamm.201900177">https://doi.org/10.1002/pamm.201900177</a>
  bibtex: '@article{Ju_Mahnken_2019, title={Model adaptivity on mean‐field and full‐field
    homogenization methods considering hierarchical unit cells}, DOI={<a href="https://doi.org/10.1002/pamm.201900177">10.1002/pamm.201900177</a>},
    journal={PAMM}, author={Ju, Xiaozhe and Mahnken, Rolf}, year={2019} }'
  chicago: Ju, Xiaozhe, and Rolf Mahnken. “Model Adaptivity on Mean‐field and Full‐field
    Homogenization Methods Considering Hierarchical Unit Cells.” <i>PAMM</i>, 2019.
    <a href="https://doi.org/10.1002/pamm.201900177">https://doi.org/10.1002/pamm.201900177</a>.
  ieee: 'X. Ju and R. Mahnken, “Model adaptivity on mean‐field and full‐field homogenization
    methods considering hierarchical unit cells,” <i>PAMM</i>, 2019, doi: <a href="https://doi.org/10.1002/pamm.201900177">10.1002/pamm.201900177</a>.'
  mla: Ju, Xiaozhe, and Rolf Mahnken. “Model Adaptivity on Mean‐field and Full‐field
    Homogenization Methods Considering Hierarchical Unit Cells.” <i>PAMM</i>, 2019,
    doi:<a href="https://doi.org/10.1002/pamm.201900177">10.1002/pamm.201900177</a>.
  short: X. Ju, R. Mahnken, PAMM (2019).
date_created: 2021-09-14T13:40:01Z
date_updated: 2023-01-24T14:06:23Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1002/pamm.201900177
language:
- iso: eng
publication: PAMM
publication_identifier:
  issn:
  - 1617-7061
  - 1617-7061
publication_status: published
quality_controlled: '1'
status: public
title: Model adaptivity on mean‐field and full‐field homogenization methods considering
  hierarchical unit cells
type: journal_article
user_id: '335'
year: '2019'
...
---
_id: '19424'
author:
- 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: Lenz P, Mahnken R. Damage simulation of fiber reinforced composites using mean‐field
    homogenization methods. <i>PAMM</i>. Published online 2019. doi:<a href="https://doi.org/10.1002/pamm.201900370">10.1002/pamm.201900370</a>
  apa: Lenz, P., &#38; Mahnken, R. (2019). Damage simulation of fiber reinforced composites
    using mean‐field homogenization methods. <i>PAMM</i>. <a href="https://doi.org/10.1002/pamm.201900370">https://doi.org/10.1002/pamm.201900370</a>
  bibtex: '@article{Lenz_Mahnken_2019, title={Damage simulation of fiber reinforced
    composites using mean‐field homogenization methods}, DOI={<a href="https://doi.org/10.1002/pamm.201900370">10.1002/pamm.201900370</a>},
    journal={PAMM}, author={Lenz, Peter and Mahnken, Rolf}, year={2019} }'
  chicago: Lenz, Peter, and Rolf Mahnken. “Damage Simulation of Fiber Reinforced Composites
    Using Mean‐field Homogenization Methods.” <i>PAMM</i>, 2019. <a href="https://doi.org/10.1002/pamm.201900370">https://doi.org/10.1002/pamm.201900370</a>.
  ieee: 'P. Lenz and R. Mahnken, “Damage simulation of fiber reinforced composites
    using mean‐field homogenization methods,” <i>PAMM</i>, 2019, doi: <a href="https://doi.org/10.1002/pamm.201900370">10.1002/pamm.201900370</a>.'
  mla: Lenz, Peter, and Rolf Mahnken. “Damage Simulation of Fiber Reinforced Composites
    Using Mean‐field Homogenization Methods.” <i>PAMM</i>, 2019, doi:<a href="https://doi.org/10.1002/pamm.201900370">10.1002/pamm.201900370</a>.
  short: P. Lenz, R. Mahnken, PAMM (2019).
date_created: 2020-09-15T18:05:56Z
date_updated: 2023-01-24T14:05:37Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1002/pamm.201900370
language:
- iso: eng
publication: PAMM
publication_identifier:
  issn:
  - 1617-7061
  - 1617-7061
publication_status: published
status: public
title: Damage simulation of fiber reinforced composites using mean‐field homogenization
  methods
type: journal_article
user_id: '335'
year: '2019'
...
---
_id: '19326'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: 'Mahnken R. <i>Lehrbuch Der Technischen Mechanik - Band 2: Elastostatik</i>.;
    2019. doi:<a href="https://doi.org/10.1007/978-3-662-58166-7">10.1007/978-3-662-58166-7</a>'
  apa: 'Mahnken, R. (2019). <i>Lehrbuch der Technischen Mechanik - Band 2: Elastostatik</i>.
    <a href="https://doi.org/10.1007/978-3-662-58166-7">https://doi.org/10.1007/978-3-662-58166-7</a>'
  bibtex: '@book{Mahnken_2019, place={Berlin, Heidelberg}, title={Lehrbuch der Technischen
    Mechanik - Band 2: Elastostatik}, DOI={<a href="https://doi.org/10.1007/978-3-662-58166-7">10.1007/978-3-662-58166-7</a>},
    author={Mahnken, Rolf}, year={2019} }'
  chicago: 'Mahnken, Rolf. <i>Lehrbuch Der Technischen Mechanik - Band 2: Elastostatik</i>.
    Berlin, Heidelberg, 2019. <a href="https://doi.org/10.1007/978-3-662-58166-7">https://doi.org/10.1007/978-3-662-58166-7</a>.'
  ieee: 'R. Mahnken, <i>Lehrbuch der Technischen Mechanik - Band 2: Elastostatik</i>.
    Berlin, Heidelberg, 2019.'
  mla: 'Mahnken, Rolf. <i>Lehrbuch Der Technischen Mechanik - Band 2: Elastostatik</i>.
    2019, doi:<a href="https://doi.org/10.1007/978-3-662-58166-7">10.1007/978-3-662-58166-7</a>.'
  short: 'R. Mahnken, Lehrbuch Der Technischen Mechanik - Band 2: Elastostatik, Berlin,
    Heidelberg, 2019.'
date_created: 2020-09-11T18:26:08Z
date_updated: 2023-01-24T15:19:58Z
department:
- _id: '9'
- _id: '154'
doi: 10.1007/978-3-662-58166-7
language:
- iso: eng
place: Berlin, Heidelberg
publication_identifier:
  isbn:
  - '9783662581650'
  - '9783662581667'
publication_status: published
quality_controlled: '1'
status: public
title: 'Lehrbuch der Technischen Mechanik - Band 2: Elastostatik'
type: book
user_id: '335'
year: '2019'
...
---
_id: '42187'
author:
- first_name: Kai-Uwe
  full_name: Widany, Kai-Uwe
  last_name: Widany
citation:
  ama: Widany K-U. <i>Adaptive Finite Element Methods for Direct and Inverse Problems
    in Nonlinear Solid Mechanics</i>. Shaker; 2019.
  apa: Widany, K.-U. (2019). <i>Adaptive Finite Element Methods for Direct and Inverse
    Problems in Nonlinear Solid Mechanics</i>. Shaker.
  bibtex: '@book{Widany_2019, title={Adaptive Finite Element Methods for Direct and
    Inverse Problems in Nonlinear Solid Mechanics}, publisher={Shaker}, author={Widany,
    Kai-Uwe}, year={2019} }'
  chicago: Widany, Kai-Uwe. <i>Adaptive Finite Element Methods for Direct and Inverse
    Problems in Nonlinear Solid Mechanics</i>. Shaker, 2019.
  ieee: K.-U. Widany, <i>Adaptive Finite Element Methods for Direct and Inverse Problems
    in Nonlinear Solid Mechanics</i>. Shaker, 2019.
  mla: Widany, Kai-Uwe. <i>Adaptive Finite Element Methods for Direct and Inverse
    Problems in Nonlinear Solid Mechanics</i>. Shaker, 2019.
  short: K.-U. Widany, Adaptive Finite Element Methods for Direct and Inverse Problems
    in Nonlinear Solid Mechanics, Shaker, 2019.
date_created: 2023-02-17T12:07:17Z
date_updated: 2023-02-17T12:07:38Z
department:
- _id: '9'
- _id: '154'
language:
- iso: eng
publisher: Shaker
status: public
supervisor:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
title: Adaptive Finite Element Methods for Direct and Inverse Problems in Nonlinear
  Solid Mechanics
type: dissertation
user_id: '85414'
year: '2019'
...
---
_id: '42190'
author:
- first_name: Christian
  full_name: Damman, Christian
  last_name: Damman
citation:
  ama: Damman C. <i>Experimental Characterization and Constitutive Modeling of Reinforced
    Thermoplastic and Thermosetting Polymers</i>. Shaker; 2019.
  apa: Damman, C. (2019). <i>Experimental Characterization and Constitutive Modeling
    of Reinforced Thermoplastic and Thermosetting Polymers</i>. Shaker.
  bibtex: '@book{Damman_2019, title={Experimental Characterization and Constitutive
    Modeling of Reinforced Thermoplastic and Thermosetting Polymers}, publisher={Shaker},
    author={Damman, Christian}, year={2019} }'
  chicago: Damman, Christian. <i>Experimental Characterization and Constitutive Modeling
    of Reinforced Thermoplastic and Thermosetting Polymers</i>. Shaker, 2019.
  ieee: C. Damman, <i>Experimental Characterization and Constitutive Modeling of Reinforced
    Thermoplastic and Thermosetting Polymers</i>. Shaker, 2019.
  mla: Damman, Christian. <i>Experimental Characterization and Constitutive Modeling
    of Reinforced Thermoplastic and Thermosetting Polymers</i>. Shaker, 2019.
  short: C. Damman, Experimental Characterization and Constitutive Modeling of Reinforced
    Thermoplastic and Thermosetting Polymers, Shaker, 2019.
date_created: 2023-02-17T12:16:10Z
date_updated: 2023-02-17T12:16:32Z
department:
- _id: '9'
- _id: '154'
language:
- iso: eng
publisher: Shaker
status: public
supervisor:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
title: Experimental Characterization and Constitutive Modeling of Reinforced Thermoplastic
  and Thermosetting Polymers
type: dissertation
user_id: '85414'
year: '2019'
...
---
_id: '42191'
author:
- first_name: Xiaozhe
  full_name: Ju, Xiaozhe
  last_name: Ju
citation:
  ama: Ju X. <i>Adaptive Methods in the Mechanics of Heterogeneous Materials</i>.;
    2019.
  apa: Ju, X. (2019). <i>Adaptive Methods in the Mechanics of Heterogeneous Materials</i>.
  bibtex: '@book{Ju_2019, title={Adaptive Methods in the Mechanics of Heterogeneous
    Materials}, author={Ju, Xiaozhe}, year={2019} }'
  chicago: Ju, Xiaozhe. <i>Adaptive Methods in the Mechanics of Heterogeneous Materials</i>,
    2019.
  ieee: X. Ju, <i>Adaptive Methods in the Mechanics of Heterogeneous Materials</i>.
    2019.
  mla: Ju, Xiaozhe. <i>Adaptive Methods in the Mechanics of Heterogeneous Materials</i>.
    2019.
  short: X. Ju, Adaptive Methods in the Mechanics of Heterogeneous Materials, 2019.
date_created: 2023-02-17T12:18:32Z
date_updated: 2023-02-17T12:18:51Z
department:
- _id: '9'
- _id: '154'
language:
- iso: eng
status: public
supervisor:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
title: Adaptive Methods in the Mechanics of Heterogeneous Materials
type: dissertation
user_id: '85414'
year: '2019'
...
---
_id: '42188'
author:
- first_name: Chun
  full_name: Cheng, Chun
  last_name: Cheng
citation:
  ama: Cheng C. <i>A Multi-Mechanism Model for Cutting Simulations Combining Asymmetric
    Effects and Gradient Phase Transformations</i>.; 2019.
  apa: Cheng, C. (2019). <i>A multi-mechanism model for cutting simulations combining
    asymmetric effects and gradient phase transformations</i>.
  bibtex: '@book{Cheng_2019, title={A multi-mechanism model for cutting simulations
    combining asymmetric effects and gradient phase transformations}, author={Cheng,
    Chun}, year={2019} }'
  chicago: Cheng, Chun. <i>A Multi-Mechanism Model for Cutting Simulations Combining
    Asymmetric Effects and Gradient Phase Transformations</i>, 2019.
  ieee: C. Cheng, <i>A multi-mechanism model for cutting simulations combining asymmetric
    effects and gradient phase transformations</i>. 2019.
  mla: Cheng, Chun. <i>A Multi-Mechanism Model for Cutting Simulations Combining Asymmetric
    Effects and Gradient Phase Transformations</i>. 2019.
  short: C. Cheng, A Multi-Mechanism Model for Cutting Simulations Combining Asymmetric
    Effects and Gradient Phase Transformations, 2019.
date_created: 2023-02-17T12:13:52Z
date_updated: 2023-02-20T13:29:58Z
department:
- _id: '9'
- _id: '154'
language:
- iso: eng
status: public
supervisor:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
title: A multi-mechanism model for cutting simulations combining asymmetric effects
  and gradient phase transformations
type: dissertation
user_id: '85414'
year: '2019'
...
---
_id: '9899'
abstract:
- lang: eng
  text: Bainite is a steel microstructure consisting of three phases, bainitic ferrite,
    austenite and carbides. It forms in two different morphologies, upper and lower
    bainite, where different diffusion mechanisms are dominant. The aim of this work
    is to simulate both transformations within a unified model. To this end, we extend
    an own previously published model for lower bainite with diffusion across the
    phase interface. As a central idea we introduce weighted Helmholtz energy functions
    and a weighted mobility tensor, respectively. The individual Helmholtz energy
    functions and mobility terms are related to the different diffusion mechanisms
    which are responsible for the formation of both morphologies. Two representative
    examples illustrate the capability of the coupled phase field/diffusion model
    and show the expected behaviour.
author:
- first_name: M.
  full_name: Düsing, M.
  last_name: Düsing
- first_name: R.
  full_name: Mahnken, R.
  last_name: Mahnken
citation:
  ama: Düsing M, Mahnken R. „A coupled phase field/diffusion model for upper and lower
    bainitic transformation”. <i>International Journal of Solids and Structures</i>.
    2018;135:172-183.
  apa: Düsing, M., &#38; Mahnken, R. (2018). „A coupled phase field/diffusion model
    for upper and lower bainitic transformation”. <i>International Journal of Solids
    and Structures</i>, <i>135</i>, 172–183.
  bibtex: '@article{Düsing_Mahnken_2018, title={„A coupled phase field/diffusion model
    for upper and lower bainitic transformation”}, volume={135}, journal={International
    Journal of Solids and Structures}, publisher={Elsevier}, author={Düsing, M. and
    Mahnken, R.}, year={2018}, pages={172–183} }'
  chicago: 'Düsing, M., and R. Mahnken. “„A Coupled Phase Field/Diffusion Model for
    Upper and Lower Bainitic Transformation”.” <i>International Journal of Solids
    and Structures</i> 135 (2018): 172–83.'
  ieee: M. Düsing and R. Mahnken, “„A coupled phase field/diffusion model for upper
    and lower bainitic transformation”,” <i>International Journal of Solids and Structures</i>,
    vol. 135, pp. 172–183, 2018.
  mla: Düsing, M., and R. Mahnken. “„A Coupled Phase Field/Diffusion Model for Upper
    and Lower Bainitic Transformation”.” <i>International Journal of Solids and Structures</i>,
    vol. 135, Elsevier, 2018, pp. 172–83.
  short: M. Düsing, R. Mahnken, International Journal of Solids and Structures 135
    (2018) 172–183.
date_created: 2019-05-21T13:03:05Z
date_updated: 2019-05-21T13:12:27Z
department:
- _id: '154'
intvolume: '       135'
keyword:
- Coupled phase field/diffusion model
- Bainite
- Multiphase field method
- Cahn–Hilliard diffusion
- Diffusion across the interface
- Lower bainitic transformation
- Upper bainitic transformation
- Thermodynamic framework
- Microforce balance
language:
- iso: eng
page: 172-183
publication: International Journal of Solids and Structures
publication_identifier:
  issn:
  - 0020-7683
publication_status: published
publisher: Elsevier
status: public
title: „A coupled phase field/diffusion model for upper and lower bainitic transformation”
type: journal_article
user_id: '78813'
volume: 135
year: '2018'
...
---
_id: '9933'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  last_name: Mahnken
- first_name: Peter
  full_name: Lenz, Peter
  last_name: Lenz
- first_name: Christian
  full_name: Dammann, Christian
  last_name: Dammann
citation:
  ama: Mahnken R, Lenz P, Dammann C. “A least squares approach for effective shear
    properties in an n-layered sphere model.” <i>Archive of Applied Mechanics</i>.
    2018:2081-2099. doi:<a href="https://doi.org/10.1007/s00419-018-1431-5">10.1007/s00419-018-1431-5</a>
  apa: Mahnken, R., Lenz, P., &#38; Dammann, C. (2018). “A least squares approach
    for effective shear properties in an n-layered sphere model.” <i>Archive of Applied
    Mechanics</i>, 2081–2099. <a href="https://doi.org/10.1007/s00419-018-1431-5">https://doi.org/10.1007/s00419-018-1431-5</a>
  bibtex: '@article{Mahnken_Lenz_Dammann_2018, title={“A least squares approach for
    effective shear properties in an n-layered sphere model”}, DOI={<a href="https://doi.org/10.1007/s00419-018-1431-5">10.1007/s00419-018-1431-5</a>},
    journal={Archive of Applied Mechanics}, author={Mahnken, Rolf and Lenz, Peter
    and Dammann, Christian}, year={2018}, pages={2081–2099} }'
  chicago: Mahnken, Rolf, Peter Lenz, and Christian Dammann. “‘A Least Squares Approach
    for Effective Shear Properties in an n-Layered Sphere Model.’” <i>Archive of Applied
    Mechanics</i>, 2018, 2081–99. <a href="https://doi.org/10.1007/s00419-018-1431-5">https://doi.org/10.1007/s00419-018-1431-5</a>.
  ieee: R. Mahnken, P. Lenz, and C. Dammann, “‘A least squares approach for effective
    shear properties in an n-layered sphere model,’” <i>Archive of Applied Mechanics</i>,
    pp. 2081–2099, 2018.
  mla: Mahnken, Rolf, et al. “‘A Least Squares Approach for Effective Shear Properties
    in an n-Layered Sphere Model.’” <i>Archive of Applied Mechanics</i>, 2018, pp.
    2081–99, doi:<a href="https://doi.org/10.1007/s00419-018-1431-5">10.1007/s00419-018-1431-5</a>.
  short: R. Mahnken, P. Lenz, C. Dammann, Archive of Applied Mechanics (2018) 2081–2099.
date_created: 2019-05-24T11:58:56Z
date_updated: 2019-05-24T12:55:04Z
department:
- _id: '154'
doi: 10.1007/s00419-018-1431-5
language:
- iso: eng
page: 2081-2099
publication: Archive of Applied Mechanics
publication_identifier:
  issn:
  - 0939-1533
  - 1432-0681
publication_status: published
status: public
title: '"A least squares approach for effective shear properties in an n-layered sphere
  model"'
type: journal_article
user_id: '78813'
year: '2018'
...
---
_id: '9934'
article_number: e201800003
author:
- first_name: Christian
  full_name: Dammann, Christian
  last_name: Dammann
- first_name: Ismail
  full_name: Caylak, Ismail
  last_name: Caylak
- first_name: Rolf
  full_name: Mahnken, Rolf
  last_name: Mahnken
citation:
  ama: Dammann C, Caylak I, Mahnken R. “Sequential biaxial stretching of polycarbonate-films
    for characterization of strain-induced anisotropy.” <i>GAMM-Mitteilungen</i>.
    2018. doi:<a href="https://doi.org/10.1002/gamm.201800003">10.1002/gamm.201800003</a>
  apa: Dammann, C., Caylak, I., &#38; Mahnken, R. (2018). “Sequential biaxial stretching
    of polycarbonate-films for characterization of strain-induced anisotropy.” <i>GAMM-Mitteilungen</i>.
    <a href="https://doi.org/10.1002/gamm.201800003">https://doi.org/10.1002/gamm.201800003</a>
  bibtex: '@article{Dammann_Caylak_Mahnken_2018, title={“Sequential biaxial stretching
    of polycarbonate-films for characterization of strain-induced anisotropy”}, DOI={<a
    href="https://doi.org/10.1002/gamm.201800003">10.1002/gamm.201800003</a>}, number={e201800003},
    journal={GAMM-Mitteilungen}, author={Dammann, Christian and Caylak, Ismail and
    Mahnken, Rolf}, year={2018} }'
  chicago: Dammann, Christian, Ismail Caylak, and Rolf Mahnken. “‘Sequential Biaxial
    Stretching of Polycarbonate-Films for Characterization of Strain-Induced Anisotropy.’”
    <i>GAMM-Mitteilungen</i>, 2018. <a href="https://doi.org/10.1002/gamm.201800003">https://doi.org/10.1002/gamm.201800003</a>.
  ieee: C. Dammann, I. Caylak, and R. Mahnken, “‘Sequential biaxial stretching of
    polycarbonate-films for characterization of strain-induced anisotropy,’” <i>GAMM-Mitteilungen</i>,
    2018.
  mla: Dammann, Christian, et al. “‘Sequential Biaxial Stretching of Polycarbonate-Films
    for Characterization of Strain-Induced Anisotropy.’” <i>GAMM-Mitteilungen</i>,
    e201800003, 2018, doi:<a href="https://doi.org/10.1002/gamm.201800003">10.1002/gamm.201800003</a>.
  short: C. Dammann, I. Caylak, R. Mahnken, GAMM-Mitteilungen (2018).
date_created: 2019-05-24T12:35:31Z
date_updated: 2019-05-24T12:54:56Z
department:
- _id: '154'
doi: 10.1002/gamm.201800003
language:
- iso: eng
publication: GAMM-Mitteilungen
publication_identifier:
  issn:
  - 0936-7195
publication_status: published
status: public
title: '"Sequential biaxial stretching of polycarbonate-films for characterization
  of strain-induced anisotropy"'
type: journal_article
user_id: '78813'
year: '2018'
...
---
_id: '9935'
author:
- first_name: Eduard
  full_name: Penner, Eduard
  last_name: Penner
- first_name: Ismail
  full_name: Caylak, Ismail
  last_name: Caylak
- first_name: Rolf
  full_name: Mahnken, Rolf
  last_name: Mahnken
citation:
  ama: Penner E, Caylak I, Mahnken R. A multivariate stochastic material model with
    correlated material parameters. <i>PAMM</i>. 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.
  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: 2019-05-24T12:40:18Z
date_updated: 2019-05-24T12:54:48Z
department:
- _id: '154'
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: '78813'
year: '2018'
...
---
_id: '9936'
author:
- first_name: Xiaozhe
  full_name: Ju, Xiaozhe
  last_name: Ju
- first_name: Rolf
  full_name: Mahnken, Rolf
  last_name: Mahnken
citation:
  ama: Ju X, Mahnken R. “Error-controlled homogenization for a class of linear elastic
    composite problems.” <i>PAMM</i>. 2018:601-602. doi:<a href="https://doi.org/10.1002/pamm.201710270">10.1002/pamm.201710270</a>
  apa: Ju, X., &#38; Mahnken, R. (2018). “Error-controlled homogenization for a class
    of linear elastic composite problems.” <i>PAMM</i>, 601–602. <a href="https://doi.org/10.1002/pamm.201710270">https://doi.org/10.1002/pamm.201710270</a>
  bibtex: '@article{Ju_Mahnken_2018, title={“Error-controlled homogenization for a
    class of linear elastic composite problems”}, DOI={<a href="https://doi.org/10.1002/pamm.201710270">10.1002/pamm.201710270</a>},
    journal={PAMM}, author={Ju, Xiaozhe and Mahnken, Rolf}, year={2018}, pages={601–602}
    }'
  chicago: Ju, Xiaozhe, and Rolf Mahnken. “‘Error-Controlled Homogenization for a
    Class of Linear Elastic Composite Problems.’” <i>PAMM</i>, 2018, 601–2. <a href="https://doi.org/10.1002/pamm.201710270">https://doi.org/10.1002/pamm.201710270</a>.
  ieee: X. Ju and R. Mahnken, “‘Error-controlled homogenization for a class of linear
    elastic composite problems,’” <i>PAMM</i>, pp. 601–602, 2018.
  mla: Ju, Xiaozhe, and Rolf Mahnken. “‘Error-Controlled Homogenization for a Class
    of Linear Elastic Composite Problems.’” <i>PAMM</i>, 2018, pp. 601–02, doi:<a
    href="https://doi.org/10.1002/pamm.201710270">10.1002/pamm.201710270</a>.
  short: X. Ju, R. Mahnken, PAMM (2018) 601–602.
date_created: 2019-05-24T12:42:44Z
date_updated: 2019-05-24T12:54:42Z
department:
- _id: '154'
doi: 10.1002/pamm.201710270
language:
- iso: eng
page: 601-602
publication: PAMM
publication_identifier:
  issn:
  - 1617-7061
publication_status: published
status: public
title: '"Error-controlled homogenization for a class of linear elastic composite problems"'
type: journal_article
user_id: '78813'
year: '2018'
...
