---
_id: '48673'
article_number: '107160'
author:
- first_name: Peter
  full_name: Lenz, Peter
  last_name: Lenz
- first_name: Phil
  full_name: Kreutzheide, Phil
  last_name: Kreutzheide
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Lenz P, Kreutzheide P, Mahnken R. Multiphase elasto-plastic mean-field homogenisation
    and its consistent linearisation. <i>Computers &#38;amp; Structures</i>. 2023;290.
    doi:<a href="https://doi.org/10.1016/j.compstruc.2023.107160">10.1016/j.compstruc.2023.107160</a>
  apa: Lenz, P., Kreutzheide, P., &#38; Mahnken, R. (2023). Multiphase elasto-plastic
    mean-field homogenisation and its consistent linearisation. <i>Computers &#38;amp;
    Structures</i>, <i>290</i>, Article 107160. <a href="https://doi.org/10.1016/j.compstruc.2023.107160">https://doi.org/10.1016/j.compstruc.2023.107160</a>
  bibtex: '@article{Lenz_Kreutzheide_Mahnken_2023, title={Multiphase elasto-plastic
    mean-field homogenisation and its consistent linearisation}, volume={290}, DOI={<a
    href="https://doi.org/10.1016/j.compstruc.2023.107160">10.1016/j.compstruc.2023.107160</a>},
    number={107160}, journal={Computers &#38;amp; Structures}, publisher={Elsevier
    BV}, author={Lenz, Peter and Kreutzheide, Phil and Mahnken, Rolf}, year={2023}
    }'
  chicago: Lenz, Peter, Phil Kreutzheide, and Rolf Mahnken. “Multiphase Elasto-Plastic
    Mean-Field Homogenisation and Its Consistent Linearisation.” <i>Computers &#38;amp;
    Structures</i> 290 (2023). <a href="https://doi.org/10.1016/j.compstruc.2023.107160">https://doi.org/10.1016/j.compstruc.2023.107160</a>.
  ieee: 'P. Lenz, P. Kreutzheide, and R. Mahnken, “Multiphase elasto-plastic mean-field
    homogenisation and its consistent linearisation,” <i>Computers &#38;amp; Structures</i>,
    vol. 290, Art. no. 107160, 2023, doi: <a href="https://doi.org/10.1016/j.compstruc.2023.107160">10.1016/j.compstruc.2023.107160</a>.'
  mla: Lenz, Peter, et al. “Multiphase Elasto-Plastic Mean-Field Homogenisation and
    Its Consistent Linearisation.” <i>Computers &#38;amp; Structures</i>, vol. 290,
    107160, Elsevier BV, 2023, doi:<a href="https://doi.org/10.1016/j.compstruc.2023.107160">10.1016/j.compstruc.2023.107160</a>.
  short: P. Lenz, P. Kreutzheide, R. Mahnken, Computers &#38;amp; Structures 290 (2023).
date_created: 2023-11-07T14:33:33Z
date_updated: 2023-11-07T14:35:05Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1016/j.compstruc.2023.107160
intvolume: '       290'
keyword:
- Computer Science Applications
- Mechanical Engineering
- General Materials Science
- Modeling and Simulation
- Civil and Structural Engineering
language:
- iso: eng
publication: Computers &amp; Structures
publication_identifier:
  issn:
  - 0045-7949
publication_status: published
publisher: Elsevier BV
quality_controlled: '1'
status: public
title: Multiphase elasto-plastic mean-field homogenisation and its consistent linearisation
type: journal_article
user_id: '335'
volume: 290
year: '2023'
...
---
_id: '29092'
article_number: '106671'
author:
- first_name: X.
  full_name: Ju, X.
  last_name: Ju
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: L.
  full_name: Liang, L.
  last_name: Liang
- first_name: Y.
  full_name: Xu, Y.
  last_name: Xu
citation:
  ama: Ju X, Mahnken R, Liang L, Xu Y. Goal-oriented mesh adaptivity for inverse problems
    in linear micromorphic elasticity. <i>Computers &#38; Structures</i>. Published
    online 2021. doi:<a href="https://doi.org/10.1016/j.compstruc.2021.106671">10.1016/j.compstruc.2021.106671</a>
  apa: Ju, X., Mahnken, R., Liang, L., &#38; Xu, Y. (2021). Goal-oriented mesh adaptivity
    for inverse problems in linear micromorphic elasticity. <i>Computers &#38; Structures</i>,
    Article 106671. <a href="https://doi.org/10.1016/j.compstruc.2021.106671">https://doi.org/10.1016/j.compstruc.2021.106671</a>
  bibtex: '@article{Ju_Mahnken_Liang_Xu_2021, title={Goal-oriented mesh adaptivity
    for inverse problems in linear micromorphic elasticity}, DOI={<a href="https://doi.org/10.1016/j.compstruc.2021.106671">10.1016/j.compstruc.2021.106671</a>},
    number={106671}, journal={Computers &#38; Structures}, author={Ju, X. and Mahnken,
    Rolf and Liang, L. and Xu, Y.}, year={2021} }'
  chicago: Ju, X., Rolf Mahnken, L. Liang, and Y. Xu. “Goal-Oriented Mesh Adaptivity
    for Inverse Problems in Linear Micromorphic Elasticity.” <i>Computers &#38; Structures</i>,
    2021. <a href="https://doi.org/10.1016/j.compstruc.2021.106671">https://doi.org/10.1016/j.compstruc.2021.106671</a>.
  ieee: 'X. Ju, R. Mahnken, L. Liang, and Y. Xu, “Goal-oriented mesh adaptivity for
    inverse problems in linear micromorphic elasticity,” <i>Computers &#38; Structures</i>,
    Art. no. 106671, 2021, doi: <a href="https://doi.org/10.1016/j.compstruc.2021.106671">10.1016/j.compstruc.2021.106671</a>.'
  mla: Ju, X., et al. “Goal-Oriented Mesh Adaptivity for Inverse Problems in Linear
    Micromorphic Elasticity.” <i>Computers &#38; Structures</i>, 106671, 2021, doi:<a
    href="https://doi.org/10.1016/j.compstruc.2021.106671">10.1016/j.compstruc.2021.106671</a>.
  short: X. Ju, R. Mahnken, L. Liang, Y. Xu, Computers &#38; Structures (2021).
date_created: 2021-12-22T12:45:21Z
date_updated: 2023-01-24T12:58:14Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1016/j.compstruc.2021.106671
language:
- iso: eng
publication: Computers & Structures
publication_identifier:
  issn:
  - 0045-7949
publication_status: published
quality_controlled: '1'
status: public
title: Goal-oriented mesh adaptivity for inverse problems in linear micromorphic elasticity
type: journal_article
user_id: '335'
year: '2021'
...
---
_id: '19116'
author:
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Caylak I, Mahnken R. Stabilized mixed triangular elements with area bubble
    functions at small and large deformations. <i>Computers &#38; Structures</i>.
    Published online 2014:172-182. doi:<a href="https://doi.org/10.1016/j.compstruc.2014.01.006">10.1016/j.compstruc.2014.01.006</a>
  apa: Caylak, I., &#38; Mahnken, R. (2014). Stabilized mixed triangular elements
    with area bubble functions at small and large deformations. <i>Computers &#38;
    Structures</i>, 172–182. <a href="https://doi.org/10.1016/j.compstruc.2014.01.006">https://doi.org/10.1016/j.compstruc.2014.01.006</a>
  bibtex: '@article{Caylak_Mahnken_2014, title={Stabilized mixed triangular elements
    with area bubble functions at small and large deformations}, DOI={<a href="https://doi.org/10.1016/j.compstruc.2014.01.006">10.1016/j.compstruc.2014.01.006</a>},
    journal={Computers &#38; Structures}, author={Caylak, Ismail and Mahnken, Rolf},
    year={2014}, pages={172–182} }'
  chicago: Caylak, Ismail, and Rolf Mahnken. “Stabilized Mixed Triangular Elements
    with Area Bubble Functions at Small and Large Deformations.” <i>Computers &#38;
    Structures</i>, 2014, 172–82. <a href="https://doi.org/10.1016/j.compstruc.2014.01.006">https://doi.org/10.1016/j.compstruc.2014.01.006</a>.
  ieee: 'I. Caylak and R. Mahnken, “Stabilized mixed triangular elements with area
    bubble functions at small and large deformations,” <i>Computers &#38; Structures</i>,
    pp. 172–182, 2014, doi: <a href="https://doi.org/10.1016/j.compstruc.2014.01.006">10.1016/j.compstruc.2014.01.006</a>.'
  mla: Caylak, Ismail, and Rolf Mahnken. “Stabilized Mixed Triangular Elements with
    Area Bubble Functions at Small and Large Deformations.” <i>Computers &#38; Structures</i>,
    2014, pp. 172–82, doi:<a href="https://doi.org/10.1016/j.compstruc.2014.01.006">10.1016/j.compstruc.2014.01.006</a>.
  short: I. Caylak, R. Mahnken, Computers &#38; Structures (2014) 172–182.
date_created: 2020-09-08T10:21:52Z
date_updated: 2023-01-24T15:07:01Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1016/j.compstruc.2014.01.006
language:
- iso: eng
page: 172-182
publication: Computers & Structures
publication_identifier:
  issn:
  - 0045-7949
publication_status: published
quality_controlled: '1'
status: public
title: Stabilized mixed triangular elements with area bubble functions at small and
  large deformations
type: journal_article
user_id: '335'
year: '2014'
...
---
_id: '25088'
author:
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Caylak I, Mahnken R. Mixed finite element formulations with volume bubble functions
    for triangular elements. <i>Computers &#38; Structures</i>. Published online 2011:1844-1851.
    doi:<a href="https://doi.org/10.1016/j.compstruc.2011.07.004">10.1016/j.compstruc.2011.07.004</a>
  apa: Caylak, I., &#38; Mahnken, R. (2011). Mixed finite element formulations with
    volume bubble functions for triangular elements. <i>Computers &#38; Structures</i>,
    1844–1851. <a href="https://doi.org/10.1016/j.compstruc.2011.07.004">https://doi.org/10.1016/j.compstruc.2011.07.004</a>
  bibtex: '@article{Caylak_Mahnken_2011, title={Mixed finite element formulations
    with volume bubble functions for triangular elements}, DOI={<a href="https://doi.org/10.1016/j.compstruc.2011.07.004">10.1016/j.compstruc.2011.07.004</a>},
    journal={Computers &#38; Structures}, author={Caylak, Ismail and Mahnken, Rolf},
    year={2011}, pages={1844–1851} }'
  chicago: Caylak, Ismail, and Rolf Mahnken. “Mixed Finite Element Formulations with
    Volume Bubble Functions for Triangular Elements.” <i>Computers &#38; Structures</i>,
    2011, 1844–51. <a href="https://doi.org/10.1016/j.compstruc.2011.07.004">https://doi.org/10.1016/j.compstruc.2011.07.004</a>.
  ieee: 'I. Caylak and R. Mahnken, “Mixed finite element formulations with volume
    bubble functions for triangular elements,” <i>Computers &#38; Structures</i>,
    pp. 1844–1851, 2011, doi: <a href="https://doi.org/10.1016/j.compstruc.2011.07.004">10.1016/j.compstruc.2011.07.004</a>.'
  mla: Caylak, Ismail, and Rolf Mahnken. “Mixed Finite Element Formulations with Volume
    Bubble Functions for Triangular Elements.” <i>Computers &#38; Structures</i>,
    2011, pp. 1844–51, doi:<a href="https://doi.org/10.1016/j.compstruc.2011.07.004">10.1016/j.compstruc.2011.07.004</a>.
  short: I. Caylak, R. Mahnken, Computers &#38; Structures (2011) 1844–1851.
date_created: 2021-09-28T13:06:08Z
date_updated: 2023-01-24T15:13:34Z
department:
- _id: '9'
- _id: '154'
doi: 10.1016/j.compstruc.2011.07.004
language:
- iso: eng
page: 1844-1851
publication: Computers & Structures
publication_identifier:
  issn:
  - 0045-7949
publication_status: published
quality_controlled: '1'
status: public
title: Mixed finite element formulations with volume bubble functions for triangular
  elements
type: journal_article
user_id: '335'
year: '2011'
...
---
_id: '45418'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: D.
  full_name: Tikhomirov, D.
  last_name: Tikhomirov
- first_name: E.
  full_name: Stein, E.
  last_name: Stein
citation:
  ama: Mahnken R, Tikhomirov D, Stein E. Implicit integration scheme and its consistent
    linearization for an elastoplastic-damage model with application to concrete.
    <i>Computers &#38;amp; Structures</i>. 2002;75(2):135-143. doi:<a href="https://doi.org/10.1016/s0045-7949(99)00089-9">10.1016/s0045-7949(99)00089-9</a>
  apa: Mahnken, R., Tikhomirov, D., &#38; Stein, E. (2002). Implicit integration scheme
    and its consistent linearization for an elastoplastic-damage model with application
    to concrete. <i>Computers &#38;amp; Structures</i>, <i>75</i>(2), 135–143. <a
    href="https://doi.org/10.1016/s0045-7949(99)00089-9">https://doi.org/10.1016/s0045-7949(99)00089-9</a>
  bibtex: '@article{Mahnken_Tikhomirov_Stein_2002, title={Implicit integration scheme
    and its consistent linearization for an elastoplastic-damage model with application
    to concrete}, volume={75}, DOI={<a href="https://doi.org/10.1016/s0045-7949(99)00089-9">10.1016/s0045-7949(99)00089-9</a>},
    number={2}, journal={Computers &#38;amp; Structures}, publisher={Elsevier BV},
    author={Mahnken, Rolf and Tikhomirov, D. and Stein, E.}, year={2002}, pages={135–143}
    }'
  chicago: 'Mahnken, Rolf, D. Tikhomirov, and E. Stein. “Implicit Integration Scheme
    and Its Consistent Linearization for an Elastoplastic-Damage Model with Application
    to Concrete.” <i>Computers &#38;amp; Structures</i> 75, no. 2 (2002): 135–43.
    <a href="https://doi.org/10.1016/s0045-7949(99)00089-9">https://doi.org/10.1016/s0045-7949(99)00089-9</a>.'
  ieee: 'R. Mahnken, D. Tikhomirov, and E. Stein, “Implicit integration scheme and
    its consistent linearization for an elastoplastic-damage model with application
    to concrete,” <i>Computers &#38;amp; Structures</i>, vol. 75, no. 2, pp. 135–143,
    2002, doi: <a href="https://doi.org/10.1016/s0045-7949(99)00089-9">10.1016/s0045-7949(99)00089-9</a>.'
  mla: Mahnken, Rolf, et al. “Implicit Integration Scheme and Its Consistent Linearization
    for an Elastoplastic-Damage Model with Application to Concrete.” <i>Computers
    &#38;amp; Structures</i>, vol. 75, no. 2, Elsevier BV, 2002, pp. 135–43, doi:<a
    href="https://doi.org/10.1016/s0045-7949(99)00089-9">10.1016/s0045-7949(99)00089-9</a>.
  short: R. Mahnken, D. Tikhomirov, E. Stein, Computers &#38;amp; Structures 75 (2002)
    135–143.
date_created: 2023-05-31T12:05:43Z
date_updated: 2023-05-31T12:06:27Z
department:
- _id: '9'
- _id: '154'
doi: 10.1016/s0045-7949(99)00089-9
intvolume: '        75'
issue: '2'
keyword:
- Computer Science Applications
- Mechanical Engineering
- General Materials Science
- Modeling and Simulation
- Civil and Structural Engineering
language:
- iso: eng
page: 135-143
publication: Computers &amp; Structures
publication_identifier:
  issn:
  - 0045-7949
publication_status: published
publisher: Elsevier BV
quality_controlled: '1'
status: public
title: Implicit integration scheme and its consistent linearization for an elastoplastic-damage
  model with application to concrete
type: journal_article
user_id: '335'
volume: 75
year: '2002'
...
---
_id: '45422'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Mahnken R. A comprehensive study of a multiplicative elastoplasticity model
    coupled to damage including parameter identification. <i>Computers &#38;amp; Structures</i>.
    2002;74(2):179-200. doi:<a href="https://doi.org/10.1016/s0045-7949(98)00296-x">10.1016/s0045-7949(98)00296-x</a>
  apa: Mahnken, R. (2002). A comprehensive study of a multiplicative elastoplasticity
    model coupled to damage including parameter identification. <i>Computers &#38;amp;
    Structures</i>, <i>74</i>(2), 179–200. <a href="https://doi.org/10.1016/s0045-7949(98)00296-x">https://doi.org/10.1016/s0045-7949(98)00296-x</a>
  bibtex: '@article{Mahnken_2002, title={A comprehensive study of a multiplicative
    elastoplasticity model coupled to damage including parameter identification},
    volume={74}, DOI={<a href="https://doi.org/10.1016/s0045-7949(98)00296-x">10.1016/s0045-7949(98)00296-x</a>},
    number={2}, journal={Computers &#38;amp; Structures}, publisher={Elsevier BV},
    author={Mahnken, Rolf}, year={2002}, pages={179–200} }'
  chicago: 'Mahnken, Rolf. “A Comprehensive Study of a Multiplicative Elastoplasticity
    Model Coupled to Damage Including Parameter Identification.” <i>Computers &#38;amp;
    Structures</i> 74, no. 2 (2002): 179–200. <a href="https://doi.org/10.1016/s0045-7949(98)00296-x">https://doi.org/10.1016/s0045-7949(98)00296-x</a>.'
  ieee: 'R. Mahnken, “A comprehensive study of a multiplicative elastoplasticity model
    coupled to damage including parameter identification,” <i>Computers &#38;amp;
    Structures</i>, vol. 74, no. 2, pp. 179–200, 2002, doi: <a href="https://doi.org/10.1016/s0045-7949(98)00296-x">10.1016/s0045-7949(98)00296-x</a>.'
  mla: Mahnken, Rolf. “A Comprehensive Study of a Multiplicative Elastoplasticity
    Model Coupled to Damage Including Parameter Identification.” <i>Computers &#38;amp;
    Structures</i>, vol. 74, no. 2, Elsevier BV, 2002, pp. 179–200, doi:<a href="https://doi.org/10.1016/s0045-7949(98)00296-x">10.1016/s0045-7949(98)00296-x</a>.
  short: R. Mahnken, Computers &#38;amp; Structures 74 (2002) 179–200.
date_created: 2023-05-31T12:13:28Z
date_updated: 2023-05-31T12:13:59Z
department:
- _id: '9'
- _id: '154'
doi: 10.1016/s0045-7949(98)00296-x
intvolume: '        74'
issue: '2'
keyword:
- Computer Science Applications
- Mechanical Engineering
- General Materials Science
- Modeling and Simulation
- Civil and Structural Engineering
language:
- iso: eng
page: 179-200
publication: Computers &amp; Structures
publication_identifier:
  issn:
  - 0045-7949
publication_status: published
publisher: Elsevier BV
quality_controlled: '1'
status: public
title: A comprehensive study of a multiplicative elastoplasticity model coupled to
  damage including parameter identification
type: journal_article
user_id: '335'
volume: 74
year: '2002'
...