---
_id: '65491'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n                  <jats:p>The micropolar
    continuum is a special case of a micromorphic material model and has additional
    degrees of freedom in the form of microrotations compared to the classical continuum.
    With the micropolar model, size effects can be considered and the boundary value
    problem can be regularized when localization effects occur. In order to map the
    microrotations, an additional strain measure and an additional stress are introduced.
    For simulation of plasticity, it is possible to define one yield function, and
    thus one plastic multiplier as well as one equivalent plastic strain occur. This
    approach is known as the single-surface plasticity approach. The macro- and micro-stresses
    are coupled in a common flow function. On the other hand, there is the so-called
    double-surface plasticity when one yield function, one plastic multiplier, and
    one equivalent plastic strain, respectively, are introduced for each of the macro-
    and micro-variables. The coupling of the macro- and micro-variables is established
    by a possible coupling of both yield functions. The purpose of this paper is to
    compare both approaches and to identify similarities and differences.</jats:p>"
article_number: '94'
author:
- first_name: Alexander
  full_name: Börger, Alexander
  id: '52037'
  last_name: Börger
- first_name: Rolf
  full_name: Mahnken, Rolf
  last_name: Mahnken
citation:
  ama: Börger A, Mahnken R. Single-surface and double-surface plasticity for micropolar
    continuum. <i>Archive of Applied Mechanics</i>. 2026;96(5). doi:<a href="https://doi.org/10.1007/s00419-026-03049-w">10.1007/s00419-026-03049-w</a>
  apa: Börger, A., &#38; Mahnken, R. (2026). Single-surface and double-surface plasticity
    for micropolar continuum. <i>Archive of Applied Mechanics</i>, <i>96</i>(5), Article
    94. <a href="https://doi.org/10.1007/s00419-026-03049-w">https://doi.org/10.1007/s00419-026-03049-w</a>
  bibtex: '@article{Börger_Mahnken_2026, title={Single-surface and double-surface
    plasticity for micropolar continuum}, volume={96}, DOI={<a href="https://doi.org/10.1007/s00419-026-03049-w">10.1007/s00419-026-03049-w</a>},
    number={594}, journal={Archive of Applied Mechanics}, publisher={Springer Science
    and Business Media LLC}, author={Börger, Alexander and Mahnken, Rolf}, year={2026}
    }'
  chicago: Börger, Alexander, and Rolf Mahnken. “Single-Surface and Double-Surface
    Plasticity for Micropolar Continuum.” <i>Archive of Applied Mechanics</i> 96,
    no. 5 (2026). <a href="https://doi.org/10.1007/s00419-026-03049-w">https://doi.org/10.1007/s00419-026-03049-w</a>.
  ieee: 'A. Börger and R. Mahnken, “Single-surface and double-surface plasticity for
    micropolar continuum,” <i>Archive of Applied Mechanics</i>, vol. 96, no. 5, Art.
    no. 94, 2026, doi: <a href="https://doi.org/10.1007/s00419-026-03049-w">10.1007/s00419-026-03049-w</a>.'
  mla: Börger, Alexander, and Rolf Mahnken. “Single-Surface and Double-Surface Plasticity
    for Micropolar Continuum.” <i>Archive of Applied Mechanics</i>, vol. 96, no. 5,
    94, Springer Science and Business Media LLC, 2026, doi:<a href="https://doi.org/10.1007/s00419-026-03049-w">10.1007/s00419-026-03049-w</a>.
  short: A. Börger, R. Mahnken, Archive of Applied Mechanics 96 (2026).
date_created: 2026-04-23T11:55:35Z
date_updated: 2026-04-23T11:56:38Z
department:
- _id: '9'
- _id: '952'
- _id: '321'
doi: 10.1007/s00419-026-03049-w
intvolume: '        96'
issue: '5'
language:
- iso: eng
publication: Archive of Applied Mechanics
publication_identifier:
  issn:
  - 0939-1533
  - 1432-0681
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: Single-surface and double-surface plasticity for micropolar continuum
type: journal_article
user_id: '85414'
volume: 96
year: '2026'
...
---
_id: '54280'
abstract:
- lang: eng
  text: <jats:title>Abstract</jats:title><jats:p>Cold forming of polycarbonate films
    results in the formation of shear bands in the necking zone. The numerical results
    obtained from standard viscoplastic material models exhibit mesh size dependency,
    requiring mathematical regularization. For this purpose, we present in this work
    a large deformation gradient theory for a viscoplastic isotropic material model
    published before. We extend our model to a micromorphic model by introducing a
    new micromorphic variable as an additional degree of freedom along with its first
    gradient. This variable represents a microequivalent plastic strain. The relation
    between the macroequivalent plastic strain and the micromorphic variable is accomplished
    by a micromorphic coupling modulus. This coupling forces proximity between the
    macro- and microvariables, leading to the targeted regularization effect. The
    micromorphic model is implemented as a three-dimensional initial boundary value
    problem in an in-house finite element tool. The analysis is performed for both
    uniaxial and biaxial specimens. The provided numerical examples show the ability
    of our model to regularize shear bands within the specimens and address the issue
    of localization.</jats:p>
author:
- first_name: Ayoub
  full_name: Hamdoun, Ayoub
  id: '57708'
  last_name: Hamdoun
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Hamdoun A, Mahnken R. A large deformation gradient theory for glassy polymers
    by means of micromorphic regularization. <i>Archive of Applied Mechanics</i>.
    2024;94(5):1221-1242. doi:<a href="https://doi.org/10.1007/s00419-024-02570-0">10.1007/s00419-024-02570-0</a>
  apa: Hamdoun, A., &#38; Mahnken, R. (2024). A large deformation gradient theory
    for glassy polymers by means of micromorphic regularization. <i>Archive of Applied
    Mechanics</i>, <i>94</i>(5), 1221–1242. <a href="https://doi.org/10.1007/s00419-024-02570-0">https://doi.org/10.1007/s00419-024-02570-0</a>
  bibtex: '@article{Hamdoun_Mahnken_2024, title={A large deformation gradient theory
    for glassy polymers by means of micromorphic regularization}, volume={94}, DOI={<a
    href="https://doi.org/10.1007/s00419-024-02570-0">10.1007/s00419-024-02570-0</a>},
    number={5}, journal={Archive of Applied Mechanics}, publisher={Springer Science
    and Business Media LLC}, author={Hamdoun, Ayoub and Mahnken, Rolf}, year={2024},
    pages={1221–1242} }'
  chicago: 'Hamdoun, Ayoub, and Rolf Mahnken. “A Large Deformation Gradient Theory
    for Glassy Polymers by Means of Micromorphic Regularization.” <i>Archive of Applied
    Mechanics</i> 94, no. 5 (2024): 1221–42. <a href="https://doi.org/10.1007/s00419-024-02570-0">https://doi.org/10.1007/s00419-024-02570-0</a>.'
  ieee: 'A. Hamdoun and R. Mahnken, “A large deformation gradient theory for glassy
    polymers by means of micromorphic regularization,” <i>Archive of Applied Mechanics</i>,
    vol. 94, no. 5, pp. 1221–1242, 2024, doi: <a href="https://doi.org/10.1007/s00419-024-02570-0">10.1007/s00419-024-02570-0</a>.'
  mla: Hamdoun, Ayoub, and Rolf Mahnken. “A Large Deformation Gradient Theory for
    Glassy Polymers by Means of Micromorphic Regularization.” <i>Archive of Applied
    Mechanics</i>, vol. 94, no. 5, Springer Science and Business Media LLC, 2024,
    pp. 1221–42, doi:<a href="https://doi.org/10.1007/s00419-024-02570-0">10.1007/s00419-024-02570-0</a>.
  short: A. Hamdoun, R. Mahnken, Archive of Applied Mechanics 94 (2024) 1221–1242.
date_created: 2024-05-14T09:05:40Z
date_updated: 2024-09-26T11:25:44Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1007/s00419-024-02570-0
intvolume: '        94'
issue: '5'
language:
- iso: eng
page: 1221-1242
publication: Archive of Applied Mechanics
publication_identifier:
  issn:
  - 0939-1533
  - 1432-0681
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: A large deformation gradient theory for glassy polymers by means of micromorphic
  regularization
type: journal_article
user_id: '57708'
volume: 94
year: '2024'
...
---
_id: '62770'
abstract:
- lang: eng
  text: <jats:title>Abstract</jats:title><jats:p>The open-source parameter identification
    tool ADAPT (A diversely applicable parameter identification Tool) is integrated
    with a machine learning-based approach for start value prediction in order to
    calibrate a Gurson–Tvergaard–Needleman (GTN) and a Lemaitre damage model. As representative
    example case-hardened steel 16MnCrS5 is elaborated. An artificial neural network
    (ANN) is initially trained by using load–displacement curves derived from simulations
    of a boundary value problem—instead of using data generated for homogeneous states
    of deformation at material point or one-element level—with varying material parameter
    combinations. The ANN is then employed so as to predict sets of material parameters
    that already provide close solutions to the experiment. These predicted parameter
    sets serve as starting values for a subsequent multi-objective parameter identification
    by using ADAPT. ADAPT allows for the consideration of input data from multiple
    scales, including integral data such as load–displacement curves, full-field data
    such as displacement and strain fields, and high-resolution experimental void
    data at the micro-scale. The influence of each data set on prediction quality
    is analyzed. Using various types of input data introduces additional information,
    enhancing prediction accuracy. The validation is carried out with respect to experimental
    void measurements of forward rod extruded parts. The results demonstrate, by incorporating
    void measurements in the optimization process, that it is possible to improve
    the quantitative prediction of ductile damage in the sense of void area fractions
    by factor 28 in forward rod extrusion.</jats:p>
author:
- first_name: Jan
  full_name: Gerlach, Jan
  last_name: Gerlach
- first_name: Robin
  full_name: Schulte, Robin
  last_name: Schulte
- first_name: Alexander
  full_name: Schowtjak, Alexander
  last_name: Schowtjak
- first_name: Till
  full_name: Clausmeyer, Till
  last_name: Clausmeyer
- first_name: Richard
  full_name: Ostwald, Richard
  id: '106876'
  last_name: Ostwald
  orcid: 0000-0003-2147-8444
- first_name: A. Erman
  full_name: Tekkaya, A. Erman
  last_name: Tekkaya
- first_name: Andreas
  full_name: Menzel, Andreas
  last_name: Menzel
citation:
  ama: Gerlach J, Schulte R, Schowtjak A, et al. Enhancing damage prediction in bulk
    metal forming through machine learning-assisted parameter identification. <i>Archive
    of Applied Mechanics</i>. 2024;94(8):2217-2242. doi:<a href="https://doi.org/10.1007/s00419-024-02634-1">10.1007/s00419-024-02634-1</a>
  apa: Gerlach, J., Schulte, R., Schowtjak, A., Clausmeyer, T., Ostwald, R., Tekkaya,
    A. E., &#38; Menzel, A. (2024). Enhancing damage prediction in bulk metal forming
    through machine learning-assisted parameter identification. <i>Archive of Applied
    Mechanics</i>, <i>94</i>(8), 2217–2242. <a href="https://doi.org/10.1007/s00419-024-02634-1">https://doi.org/10.1007/s00419-024-02634-1</a>
  bibtex: '@article{Gerlach_Schulte_Schowtjak_Clausmeyer_Ostwald_Tekkaya_Menzel_2024,
    title={Enhancing damage prediction in bulk metal forming through machine learning-assisted
    parameter identification}, volume={94}, DOI={<a href="https://doi.org/10.1007/s00419-024-02634-1">10.1007/s00419-024-02634-1</a>},
    number={8}, journal={Archive of Applied Mechanics}, publisher={Springer Science
    and Business Media LLC}, author={Gerlach, Jan and Schulte, Robin and Schowtjak,
    Alexander and Clausmeyer, Till and Ostwald, Richard and Tekkaya, A. Erman and
    Menzel, Andreas}, year={2024}, pages={2217–2242} }'
  chicago: 'Gerlach, Jan, Robin Schulte, Alexander Schowtjak, Till Clausmeyer, Richard
    Ostwald, A. Erman Tekkaya, and Andreas Menzel. “Enhancing Damage Prediction in
    Bulk Metal Forming through Machine Learning-Assisted Parameter Identification.”
    <i>Archive of Applied Mechanics</i> 94, no. 8 (2024): 2217–42. <a href="https://doi.org/10.1007/s00419-024-02634-1">https://doi.org/10.1007/s00419-024-02634-1</a>.'
  ieee: 'J. Gerlach <i>et al.</i>, “Enhancing damage prediction in bulk metal forming
    through machine learning-assisted parameter identification,” <i>Archive of Applied
    Mechanics</i>, vol. 94, no. 8, pp. 2217–2242, 2024, doi: <a href="https://doi.org/10.1007/s00419-024-02634-1">10.1007/s00419-024-02634-1</a>.'
  mla: Gerlach, Jan, et al. “Enhancing Damage Prediction in Bulk Metal Forming through
    Machine Learning-Assisted Parameter Identification.” <i>Archive of Applied Mechanics</i>,
    vol. 94, no. 8, Springer Science and Business Media LLC, 2024, pp. 2217–42, doi:<a
    href="https://doi.org/10.1007/s00419-024-02634-1">10.1007/s00419-024-02634-1</a>.
  short: J. Gerlach, R. Schulte, A. Schowtjak, T. Clausmeyer, R. Ostwald, A.E. Tekkaya,
    A. Menzel, Archive of Applied Mechanics 94 (2024) 2217–2242.
date_created: 2025-12-03T12:46:31Z
date_updated: 2025-12-03T12:50:41Z
department:
- _id: '952'
- _id: '321'
doi: 10.1007/s00419-024-02634-1
intvolume: '        94'
issue: '8'
language:
- iso: eng
page: 2217-2242
publication: Archive of Applied Mechanics
publication_identifier:
  issn:
  - 0939-1533
  - 1432-0681
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: Enhancing damage prediction in bulk metal forming through machine learning-assisted
  parameter identification
type: journal_article
user_id: '85414'
volume: 94
year: '2024'
...
---
_id: '30656'
abstract:
- lang: eng
  text: '<jats:title>Abstract</jats:title><jats:p>Optimized material parameters obtained
    from parameter identification for verification wrt a certain loading scenario
    are amenable to two deficiencies: Firstly, they may lack a general validity for
    different loading scenarios. Secondly, they may be prone to instability, such
    that a small perturbation of experimental data may ensue a large perturbation
    for the material parameters. This paper presents a framework for extension of
    hyperelastic models for rubber-like materials accounting for both deficiencies.
    To this end, an additive decomposition of the strain energy function is assumed
    into a sum of weighted strain mode related quantities. We propose a practical
    guide for model development accounting for the criteria of verification, validation
    and stability by means of the strain mode-dependent weighting functions and techniques
    of model reduction. The approach is successfully applied for 13 hyperelastic models
    with regard to the classical experimental data on vulcanized rubber published
    by Treloar (Trans Faraday Soc 40:59–70, 1944), showing both excellent fitting
    capabilties and stable material parameters.</jats:p>'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Mahnken R. Strain mode-dependent weighting functions in hyperelasticity accounting
    for verification, validation, and stability of material parameters. <i>Archive
    of Applied Mechanics</i>. 2022;92(3):713-754. doi:<a href="https://doi.org/10.1007/s00419-021-02069-y">10.1007/s00419-021-02069-y</a>
  apa: Mahnken, R. (2022). Strain mode-dependent weighting functions in hyperelasticity
    accounting for verification, validation, and stability of material parameters.
    <i>Archive of Applied Mechanics</i>, <i>92</i>(3), 713–754. <a href="https://doi.org/10.1007/s00419-021-02069-y">https://doi.org/10.1007/s00419-021-02069-y</a>
  bibtex: '@article{Mahnken_2022, title={Strain mode-dependent weighting functions
    in hyperelasticity accounting for verification, validation, and stability of material
    parameters}, volume={92}, DOI={<a href="https://doi.org/10.1007/s00419-021-02069-y">10.1007/s00419-021-02069-y</a>},
    number={3}, journal={Archive of Applied Mechanics}, publisher={Springer Science
    and Business Media LLC}, author={Mahnken, Rolf}, year={2022}, pages={713–754}
    }'
  chicago: 'Mahnken, Rolf. “Strain Mode-Dependent Weighting Functions in Hyperelasticity
    Accounting for Verification, Validation, and Stability of Material Parameters.”
    <i>Archive of Applied Mechanics</i> 92, no. 3 (2022): 713–54. <a href="https://doi.org/10.1007/s00419-021-02069-y">https://doi.org/10.1007/s00419-021-02069-y</a>.'
  ieee: 'R. Mahnken, “Strain mode-dependent weighting functions in hyperelasticity
    accounting for verification, validation, and stability of material parameters,”
    <i>Archive of Applied Mechanics</i>, vol. 92, no. 3, pp. 713–754, 2022, doi: <a
    href="https://doi.org/10.1007/s00419-021-02069-y">10.1007/s00419-021-02069-y</a>.'
  mla: Mahnken, Rolf. “Strain Mode-Dependent Weighting Functions in Hyperelasticity
    Accounting for Verification, Validation, and Stability of Material Parameters.”
    <i>Archive of Applied Mechanics</i>, vol. 92, no. 3, Springer Science and Business
    Media LLC, 2022, pp. 713–54, doi:<a href="https://doi.org/10.1007/s00419-021-02069-y">10.1007/s00419-021-02069-y</a>.
  short: R. Mahnken, Archive of Applied Mechanics 92 (2022) 713–754.
date_created: 2022-03-28T13:24:07Z
date_updated: 2023-01-24T13:10:27Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1007/s00419-021-02069-y
intvolume: '        92'
issue: '3'
keyword:
- Mechanical Engineering
language:
- iso: eng
page: 713-754
publication: Archive of Applied Mechanics
publication_identifier:
  issn:
  - 0939-1533
  - 1432-0681
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: Strain mode-dependent weighting functions in hyperelasticity accounting for
  verification, validation, and stability of material parameters
type: journal_article
user_id: '335'
volume: 92
year: '2022'
...
---
_id: '34074'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: Jamil
  full_name: Mirzapour, Jamil
  last_name: Mirzapour
citation:
  ama: Mahnken R, Mirzapour J. A statistically based strain energy function for polymer
    chains in rubber elasticity. <i>Archive of Applied Mechanics</i>. 2022;92(11):3295-3323.
    doi:<a href="https://doi.org/10.1007/s00419-022-02237-8">10.1007/s00419-022-02237-8</a>
  apa: Mahnken, R., &#38; Mirzapour, J. (2022). A statistically based strain energy
    function for polymer chains in rubber elasticity. <i>Archive of Applied Mechanics</i>,
    <i>92</i>(11), 3295–3323. <a href="https://doi.org/10.1007/s00419-022-02237-8">https://doi.org/10.1007/s00419-022-02237-8</a>
  bibtex: '@article{Mahnken_Mirzapour_2022, title={A statistically based strain energy
    function for polymer chains in rubber elasticity}, volume={92}, DOI={<a href="https://doi.org/10.1007/s00419-022-02237-8">10.1007/s00419-022-02237-8</a>},
    number={11}, journal={Archive of Applied Mechanics}, publisher={Springer Science
    and Business Media LLC}, author={Mahnken, Rolf and Mirzapour, Jamil}, year={2022},
    pages={3295–3323} }'
  chicago: 'Mahnken, Rolf, and Jamil Mirzapour. “A Statistically Based Strain Energy
    Function for Polymer Chains in Rubber Elasticity.” <i>Archive of Applied Mechanics</i>
    92, no. 11 (2022): 3295–3323. <a href="https://doi.org/10.1007/s00419-022-02237-8">https://doi.org/10.1007/s00419-022-02237-8</a>.'
  ieee: 'R. Mahnken and J. Mirzapour, “A statistically based strain energy function
    for polymer chains in rubber elasticity,” <i>Archive of Applied Mechanics</i>,
    vol. 92, no. 11, pp. 3295–3323, 2022, doi: <a href="https://doi.org/10.1007/s00419-022-02237-8">10.1007/s00419-022-02237-8</a>.'
  mla: Mahnken, Rolf, and Jamil Mirzapour. “A Statistically Based Strain Energy Function
    for Polymer Chains in Rubber Elasticity.” <i>Archive of Applied Mechanics</i>,
    vol. 92, no. 11, Springer Science and Business Media LLC, 2022, pp. 3295–323,
    doi:<a href="https://doi.org/10.1007/s00419-022-02237-8">10.1007/s00419-022-02237-8</a>.
  short: R. Mahnken, J. Mirzapour, Archive of Applied Mechanics 92 (2022) 3295–3323.
date_created: 2022-11-14T12:51:05Z
date_updated: 2023-04-27T10:07:20Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1007/s00419-022-02237-8
intvolume: '        92'
issue: '11'
keyword:
- Mechanical Engineering
language:
- iso: eng
page: 3295-3323
publication: Archive of Applied Mechanics
publication_identifier:
  issn:
  - 0939-1533
  - 1432-0681
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: A statistically based strain energy function for polymer chains in rubber elasticity
type: journal_article
user_id: '335'
volume: 92
year: '2022'
...
---
_id: '29085'
author:
- first_name: C.
  full_name: Cheng, C.
  last_name: Cheng
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Cheng C, Mahnken R. A modified Zerilli–Armstrong model as the asymmetric visco-plastic
    part of a multi-mechanism model for cutting simulations. <i>Archive of Applied
    Mechanics</i>. Published online 2021:3869-3888. doi:<a href="https://doi.org/10.1007/s00419-021-01982-6">10.1007/s00419-021-01982-6</a>
  apa: Cheng, C., &#38; Mahnken, R. (2021). A modified Zerilli–Armstrong model as
    the asymmetric visco-plastic part of a multi-mechanism model for cutting simulations.
    <i>Archive of Applied Mechanics</i>, 3869–3888. <a href="https://doi.org/10.1007/s00419-021-01982-6">https://doi.org/10.1007/s00419-021-01982-6</a>
  bibtex: '@article{Cheng_Mahnken_2021, title={A modified Zerilli–Armstrong model
    as the asymmetric visco-plastic part of a multi-mechanism model for cutting simulations},
    DOI={<a href="https://doi.org/10.1007/s00419-021-01982-6">10.1007/s00419-021-01982-6</a>},
    journal={Archive of Applied Mechanics}, author={Cheng, C. and Mahnken, Rolf},
    year={2021}, pages={3869–3888} }'
  chicago: Cheng, C., and Rolf Mahnken. “A Modified Zerilli–Armstrong Model as the
    Asymmetric Visco-Plastic Part of a Multi-Mechanism Model for Cutting Simulations.”
    <i>Archive of Applied Mechanics</i>, 2021, 3869–88. <a href="https://doi.org/10.1007/s00419-021-01982-6">https://doi.org/10.1007/s00419-021-01982-6</a>.
  ieee: 'C. Cheng and R. Mahnken, “A modified Zerilli–Armstrong model as the asymmetric
    visco-plastic part of a multi-mechanism model for cutting simulations,” <i>Archive
    of Applied Mechanics</i>, pp. 3869–3888, 2021, doi: <a href="https://doi.org/10.1007/s00419-021-01982-6">10.1007/s00419-021-01982-6</a>.'
  mla: Cheng, C., and Rolf Mahnken. “A Modified Zerilli–Armstrong Model as the Asymmetric
    Visco-Plastic Part of a Multi-Mechanism Model for Cutting Simulations.” <i>Archive
    of Applied Mechanics</i>, 2021, pp. 3869–88, doi:<a href="https://doi.org/10.1007/s00419-021-01982-6">10.1007/s00419-021-01982-6</a>.
  short: C. Cheng, R. Mahnken, Archive of Applied Mechanics (2021) 3869–3888.
date_created: 2021-12-22T12:28:40Z
date_updated: 2023-01-24T12:57:22Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1007/s00419-021-01982-6
language:
- iso: eng
page: 3869-3888
publication: Archive of Applied Mechanics
publication_identifier:
  issn:
  - 0939-1533
  - 1432-0681
publication_status: published
quality_controlled: '1'
status: public
title: A modified Zerilli–Armstrong model as the asymmetric visco-plastic part of
  a multi-mechanism model for cutting simulations
type: journal_article
user_id: '335'
year: '2021'
...
---
_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: '19426'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: Peter
  full_name: Lenz, Peter
  id: '49691'
  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                                                             
         $${{\varvec{n}}}$$                                                       
                        n                                                         
              -layered sphere model. <i>Archive of Applied Mechanics</i>. Published
    online 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                                             
                         $${{\varvec{n}}}$$                                       
                                        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                                             
                         $${{\varvec{n}}}$$                                       
                                        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                                         
                             $${{\varvec{n}}}$$                                   
                                            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                                                       
               $${{\varvec{n}}}$$                                                 
                              n                                                   
                    -layered sphere model,” <i>Archive of Applied Mechanics</i>, pp.
    2081–2099, 2018, doi: <a href="https://doi.org/10.1007/s00419-018-1431-5">10.1007/s00419-018-1431-5</a>.'
  mla: Mahnken, Rolf, et al. “A Least Squares Approach for Effective Shear Properties
    in an                                                                   $${{\varvec{n}}}$$ 
                                                                              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: 2020-09-15T18:09:08Z
date_updated: 2023-01-24T14:10:11Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
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
quality_controlled: '1'
status: public
title: A least squares approach for effective shear properties in an                                                                   $${{\varvec{n}}}$$                                                                            n                                                                    -layered
  sphere model
type: journal_article
user_id: '335'
year: '2018'
...
---
_id: '24652'
author:
- first_name: Martin
  full_name: Düsing, Martin
  last_name: Düsing
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Düsing M, Mahnken R. A thermodynamic framework for coupled multiphase Ginzburg-Landau/Cahn-Hilliard
    systems for simulation of lower bainitic transformation. <i>Archive of Applied
    Mechanics</i>. Published online 2016:1947-1964. doi:<a href="https://doi.org/10.1007/s00419-016-1161-5">10.1007/s00419-016-1161-5</a>
  apa: Düsing, M., &#38; Mahnken, R. (2016). A thermodynamic framework for coupled
    multiphase Ginzburg-Landau/Cahn-Hilliard systems for simulation of lower bainitic
    transformation. <i>Archive of Applied Mechanics</i>, 1947–1964. <a href="https://doi.org/10.1007/s00419-016-1161-5">https://doi.org/10.1007/s00419-016-1161-5</a>
  bibtex: '@article{Düsing_Mahnken_2016, title={A thermodynamic framework for coupled
    multiphase Ginzburg-Landau/Cahn-Hilliard systems for simulation of lower bainitic
    transformation}, DOI={<a href="https://doi.org/10.1007/s00419-016-1161-5">10.1007/s00419-016-1161-5</a>},
    journal={Archive of Applied Mechanics}, author={Düsing, Martin and Mahnken, Rolf},
    year={2016}, pages={1947–1964} }'
  chicago: Düsing, Martin, and Rolf Mahnken. “A Thermodynamic Framework for Coupled
    Multiphase Ginzburg-Landau/Cahn-Hilliard Systems for Simulation of Lower Bainitic
    Transformation.” <i>Archive of Applied Mechanics</i>, 2016, 1947–64. <a href="https://doi.org/10.1007/s00419-016-1161-5">https://doi.org/10.1007/s00419-016-1161-5</a>.
  ieee: 'M. Düsing and R. Mahnken, “A thermodynamic framework for coupled multiphase
    Ginzburg-Landau/Cahn-Hilliard systems for simulation of lower bainitic transformation,”
    <i>Archive of Applied Mechanics</i>, pp. 1947–1964, 2016, doi: <a href="https://doi.org/10.1007/s00419-016-1161-5">10.1007/s00419-016-1161-5</a>.'
  mla: Düsing, Martin, and Rolf Mahnken. “A Thermodynamic Framework for Coupled Multiphase
    Ginzburg-Landau/Cahn-Hilliard Systems for Simulation of Lower Bainitic Transformation.”
    <i>Archive of Applied Mechanics</i>, 2016, pp. 1947–64, doi:<a href="https://doi.org/10.1007/s00419-016-1161-5">10.1007/s00419-016-1161-5</a>.
  short: M. Düsing, R. Mahnken, Archive of Applied Mechanics (2016) 1947–1964.
date_created: 2021-09-17T10:22:01Z
date_updated: 2023-01-24T14:24:27Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1007/s00419-016-1161-5
language:
- iso: eng
page: 1947-1964
publication: Archive of Applied Mechanics
publication_identifier:
  issn:
  - 0939-1533
  - 1432-0681
publication_status: published
quality_controlled: '1'
status: public
title: A thermodynamic framework for coupled multiphase Ginzburg-Landau/Cahn-Hilliard
  systems for simulation of lower bainitic transformation
type: journal_article
user_id: '335'
year: '2016'
...
---
_id: '9874'
author:
- first_name: Tobias
  full_name: Hemsel, Tobias
  id: '210'
  last_name: Hemsel
- first_name: Peter
  full_name: Bornmann, Peter
  last_name: Bornmann
- first_name: Takeshi
  full_name: Morita, Takeshi
  last_name: Morita
- first_name: Christoph
  full_name: Sondermann-Wölke, Christoph
  last_name: Sondermann-Wölke
- first_name: Walter
  full_name: Sextro, Walter
  id: '21220'
  last_name: Sextro
citation:
  ama: Hemsel T, Bornmann P, Morita T, Sondermann-Wölke C, Sextro W. Reliability analysis
    of ultrasonic power transducers. <i>Archive of Applied Mechanics</i>. 2014:1-7.
    doi:<a href="https://doi.org/10.1007/s00419-014-0965-4">10.1007/s00419-014-0965-4</a>
  apa: Hemsel, T., Bornmann, P., Morita, T., Sondermann-Wölke, C., &#38; Sextro, W.
    (2014). Reliability analysis of ultrasonic power transducers. <i>Archive of Applied
    Mechanics</i>, 1–7. <a href="https://doi.org/10.1007/s00419-014-0965-4">https://doi.org/10.1007/s00419-014-0965-4</a>
  bibtex: '@article{Hemsel_Bornmann_Morita_Sondermann-Wölke_Sextro_2014, title={Reliability
    analysis of ultrasonic power transducers}, DOI={<a href="https://doi.org/10.1007/s00419-014-0965-4">10.1007/s00419-014-0965-4</a>},
    journal={Archive of Applied Mechanics}, publisher={Springer Berlin Heidelberg},
    author={Hemsel, Tobias and Bornmann, Peter and Morita, Takeshi and Sondermann-Wölke,
    Christoph and Sextro, Walter}, year={2014}, pages={1–7} }'
  chicago: Hemsel, Tobias, Peter Bornmann, Takeshi Morita, Christoph Sondermann-Wölke,
    and Walter Sextro. “Reliability Analysis of Ultrasonic Power Transducers.” <i>Archive
    of Applied Mechanics</i>, 2014, 1–7. <a href="https://doi.org/10.1007/s00419-014-0965-4">https://doi.org/10.1007/s00419-014-0965-4</a>.
  ieee: T. Hemsel, P. Bornmann, T. Morita, C. Sondermann-Wölke, and W. Sextro, “Reliability
    analysis of ultrasonic power transducers,” <i>Archive of Applied Mechanics</i>,
    pp. 1–7, 2014.
  mla: Hemsel, Tobias, et al. “Reliability Analysis of Ultrasonic Power Transducers.”
    <i>Archive of Applied Mechanics</i>, Springer Berlin Heidelberg, 2014, pp. 1–7,
    doi:<a href="https://doi.org/10.1007/s00419-014-0965-4">10.1007/s00419-014-0965-4</a>.
  short: T. Hemsel, P. Bornmann, T. Morita, C. Sondermann-Wölke, W. Sextro, Archive
    of Applied Mechanics (2014) 1–7.
date_created: 2019-05-20T13:01:25Z
date_updated: 2019-09-16T10:57:23Z
department:
- _id: '151'
doi: 10.1007/s00419-014-0965-4
keyword:
- Reliability
- Ultrasonic power transducers
- FMEA
language:
- iso: eng
page: 1-7
publication: Archive of Applied Mechanics
publication_identifier:
  issn:
  - 0939-1533
publisher: Springer Berlin Heidelberg
quality_controlled: '1'
status: public
title: Reliability analysis of ultrasonic power transducers
type: journal_article
user_id: '55222'
year: '2014'
...
---
_id: '9876'
abstract:
- lang: eng
  text: Piezoelectric inertia motors use the inertia of a body to drive it by means
    of a friction contact in a series of small steps. It has been shown previously
    in theoretical investigations that higher velocities and smoother movements can
    be obtained if these steps do not contain phases of stiction (''stick-slip`` operation),
    but use sliding friction only (''slip-slip`` operation). One very promising driving
    option for such motors is the superposition of multiple sinusoidal signals or
    harmonics. In this contribution, the theoretical results are validated experimentally.
    In this context, a quick and reliable identification process for parameters describing
    the friction contact is proposed. Additionally, the force generation potential
    of inertia motors is investigated theoretically and experimentally. The experimental
    results confirm the theoretical result that for a given maximum frequency, a signal
    with a high fundamental frequency and consisting of two superposed sine waves
    leads to the highest velocity and the smoothest motion, while the maximum motor
    force is obtained with signals containing more harmonics. These results are of
    fundamental importance for the further development of high-velocity piezoelectric
    inertia motors.
author:
- first_name: Matthias
  full_name: Hunstig, Matthias
  last_name: Hunstig
- first_name: Tobias
  full_name: Hemsel, Tobias
  id: '210'
  last_name: Hemsel
- first_name: Walter
  full_name: Sextro, Walter
  id: '21220'
  last_name: Sextro
citation:
  ama: 'Hunstig M, Hemsel T, Sextro W. High-velocity operation of piezoelectric inertia
    motors: experimental validation. <i>Archive of Applied Mechanics</i>. 2014:1-9.
    doi:<a href="https://doi.org/10.1007/s00419-014-0940-0">10.1007/s00419-014-0940-0</a>'
  apa: 'Hunstig, M., Hemsel, T., &#38; Sextro, W. (2014). High-velocity operation
    of piezoelectric inertia motors: experimental validation. <i>Archive of Applied
    Mechanics</i>, 1–9. <a href="https://doi.org/10.1007/s00419-014-0940-0">https://doi.org/10.1007/s00419-014-0940-0</a>'
  bibtex: '@article{Hunstig_Hemsel_Sextro_2014, title={High-velocity operation of
    piezoelectric inertia motors: experimental validation}, DOI={<a href="https://doi.org/10.1007/s00419-014-0940-0">10.1007/s00419-014-0940-0</a>},
    journal={Archive of Applied Mechanics}, publisher={Springer Berlin Heidelberg},
    author={Hunstig, Matthias and Hemsel, Tobias and Sextro, Walter}, year={2014},
    pages={1–9} }'
  chicago: 'Hunstig, Matthias, Tobias Hemsel, and Walter Sextro. “High-Velocity Operation
    of Piezoelectric Inertia Motors: Experimental Validation.” <i>Archive of Applied
    Mechanics</i>, 2014, 1–9. <a href="https://doi.org/10.1007/s00419-014-0940-0">https://doi.org/10.1007/s00419-014-0940-0</a>.'
  ieee: 'M. Hunstig, T. Hemsel, and W. Sextro, “High-velocity operation of piezoelectric
    inertia motors: experimental validation,” <i>Archive of Applied Mechanics</i>,
    pp. 1–9, 2014.'
  mla: 'Hunstig, Matthias, et al. “High-Velocity Operation of Piezoelectric Inertia
    Motors: Experimental Validation.” <i>Archive of Applied Mechanics</i>, Springer
    Berlin Heidelberg, 2014, pp. 1–9, doi:<a href="https://doi.org/10.1007/s00419-014-0940-0">10.1007/s00419-014-0940-0</a>.'
  short: M. Hunstig, T. Hemsel, W. Sextro, Archive of Applied Mechanics (2014) 1–9.
date_created: 2019-05-20T13:08:08Z
date_updated: 2019-05-20T13:08:43Z
department:
- _id: '151'
doi: 10.1007/s00419-014-0940-0
keyword:
- Inertia motor
- High velocity
- Stick-slip motor
- Slip-slip operation
- Friction parameter identification
language:
- iso: eng
page: 1-9
publication: Archive of Applied Mechanics
publication_identifier:
  issn:
  - 0939-1533
publisher: Springer Berlin Heidelberg
status: public
title: 'High-velocity operation of piezoelectric inertia motors: experimental validation'
type: journal_article
user_id: '55222'
year: '2014'
...
---
_id: '24709'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: Christian
  full_name: Dammann, Christian
  last_name: Dammann
citation:
  ama: Mahnken R, Dammann C. Simulation of strain-induced anisotropy for polymers
    with weighting functions. <i>Archive of Applied Mechanics</i>. Published online
    2013:21-41. doi:<a href="https://doi.org/10.1007/s00419-013-0780-3">10.1007/s00419-013-0780-3</a>
  apa: Mahnken, R., &#38; Dammann, C. (2013). Simulation of strain-induced anisotropy
    for polymers with weighting functions. <i>Archive of Applied Mechanics</i>, 21–41.
    <a href="https://doi.org/10.1007/s00419-013-0780-3">https://doi.org/10.1007/s00419-013-0780-3</a>
  bibtex: '@article{Mahnken_Dammann_2013, title={Simulation of strain-induced anisotropy
    for polymers with weighting functions}, DOI={<a href="https://doi.org/10.1007/s00419-013-0780-3">10.1007/s00419-013-0780-3</a>},
    journal={Archive of Applied Mechanics}, author={Mahnken, Rolf and Dammann, Christian},
    year={2013}, pages={21–41} }'
  chicago: Mahnken, Rolf, and Christian Dammann. “Simulation of Strain-Induced Anisotropy
    for Polymers with Weighting Functions.” <i>Archive of Applied Mechanics</i>, 2013,
    21–41. <a href="https://doi.org/10.1007/s00419-013-0780-3">https://doi.org/10.1007/s00419-013-0780-3</a>.
  ieee: 'R. Mahnken and C. Dammann, “Simulation of strain-induced anisotropy for polymers
    with weighting functions,” <i>Archive of Applied Mechanics</i>, pp. 21–41, 2013,
    doi: <a href="https://doi.org/10.1007/s00419-013-0780-3">10.1007/s00419-013-0780-3</a>.'
  mla: Mahnken, Rolf, and Christian Dammann. “Simulation of Strain-Induced Anisotropy
    for Polymers with Weighting Functions.” <i>Archive of Applied Mechanics</i>, 2013,
    pp. 21–41, doi:<a href="https://doi.org/10.1007/s00419-013-0780-3">10.1007/s00419-013-0780-3</a>.
  short: R. Mahnken, C. Dammann, Archive of Applied Mechanics (2013) 21–41.
date_created: 2021-09-20T11:34:52Z
date_updated: 2023-01-24T15:09:51Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1007/s00419-013-0780-3
language:
- iso: eng
page: 21-41
publication: Archive of Applied Mechanics
publication_identifier:
  issn:
  - 0939-1533
  - 1432-0681
publication_status: published
quality_controlled: '1'
status: public
title: Simulation of strain-induced anisotropy for polymers with weighting functions
type: journal_article
user_id: '335'
year: '2013'
...
---
_id: '24716'
author:
- first_name: Nicole
  full_name: Nörenberg, Nicole
  last_name: Nörenberg
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Nörenberg N, Mahnken R. A stochastic model for parameter identification of
    adhesive materials. <i>Archive of Applied Mechanics</i>. Published online 2012:367-378.
    doi:<a href="https://doi.org/10.1007/s00419-012-0684-7">10.1007/s00419-012-0684-7</a>
  apa: Nörenberg, N., &#38; Mahnken, R. (2012). A stochastic model for parameter identification
    of adhesive materials. <i>Archive of Applied Mechanics</i>, 367–378. <a href="https://doi.org/10.1007/s00419-012-0684-7">https://doi.org/10.1007/s00419-012-0684-7</a>
  bibtex: '@article{Nörenberg_Mahnken_2012, title={A stochastic model for parameter
    identification of adhesive materials}, DOI={<a href="https://doi.org/10.1007/s00419-012-0684-7">10.1007/s00419-012-0684-7</a>},
    journal={Archive of Applied Mechanics}, author={Nörenberg, Nicole and Mahnken,
    Rolf}, year={2012}, pages={367–378} }'
  chicago: Nörenberg, Nicole, and Rolf Mahnken. “A Stochastic Model for Parameter
    Identification of Adhesive Materials.” <i>Archive of Applied Mechanics</i>, 2012,
    367–78. <a href="https://doi.org/10.1007/s00419-012-0684-7">https://doi.org/10.1007/s00419-012-0684-7</a>.
  ieee: 'N. Nörenberg and R. Mahnken, “A stochastic model for parameter identification
    of adhesive materials,” <i>Archive of Applied Mechanics</i>, pp. 367–378, 2012,
    doi: <a href="https://doi.org/10.1007/s00419-012-0684-7">10.1007/s00419-012-0684-7</a>.'
  mla: Nörenberg, Nicole, and Rolf Mahnken. “A Stochastic Model for Parameter Identification
    of Adhesive Materials.” <i>Archive of Applied Mechanics</i>, 2012, pp. 367–78,
    doi:<a href="https://doi.org/10.1007/s00419-012-0684-7">10.1007/s00419-012-0684-7</a>.
  short: N. Nörenberg, R. Mahnken, Archive of Applied Mechanics (2012) 367–378.
date_created: 2021-09-20T12:58:15Z
date_updated: 2023-01-24T15:11:46Z
department:
- _id: '9'
- _id: '154'
doi: 10.1007/s00419-012-0684-7
language:
- iso: eng
page: 367-378
publication: Archive of Applied Mechanics
publication_identifier:
  issn:
  - 0939-1533
  - 1432-0681
publication_status: published
quality_controlled: '1'
status: public
title: A stochastic model for parameter identification of adhesive materials
type: journal_article
user_id: '335'
year: '2012'
...
---
_id: '24713'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: A.
  full_name: Shaban, A.
  last_name: Shaban
citation:
  ama: Mahnken R, Shaban A. Finite elasto-viscoplastic modeling of polymers including
    asymmetric effects. <i>Archive of Applied Mechanics</i>. Published online 2012:53-71.
    doi:<a href="https://doi.org/10.1007/s00419-012-0632-6">10.1007/s00419-012-0632-6</a>
  apa: Mahnken, R., &#38; Shaban, A. (2012). Finite elasto-viscoplastic modeling of
    polymers including asymmetric effects. <i>Archive of Applied Mechanics</i>, 53–71.
    <a href="https://doi.org/10.1007/s00419-012-0632-6">https://doi.org/10.1007/s00419-012-0632-6</a>
  bibtex: '@article{Mahnken_Shaban_2012, title={Finite elasto-viscoplastic modeling
    of polymers including asymmetric effects}, DOI={<a href="https://doi.org/10.1007/s00419-012-0632-6">10.1007/s00419-012-0632-6</a>},
    journal={Archive of Applied Mechanics}, author={Mahnken, Rolf and Shaban, A.},
    year={2012}, pages={53–71} }'
  chicago: Mahnken, Rolf, and A. Shaban. “Finite Elasto-Viscoplastic Modeling of Polymers
    Including Asymmetric Effects.” <i>Archive of Applied Mechanics</i>, 2012, 53–71.
    <a href="https://doi.org/10.1007/s00419-012-0632-6">https://doi.org/10.1007/s00419-012-0632-6</a>.
  ieee: 'R. Mahnken and A. Shaban, “Finite elasto-viscoplastic modeling of polymers
    including asymmetric effects,” <i>Archive of Applied Mechanics</i>, pp. 53–71,
    2012, doi: <a href="https://doi.org/10.1007/s00419-012-0632-6">10.1007/s00419-012-0632-6</a>.'
  mla: Mahnken, Rolf, and A. Shaban. “Finite Elasto-Viscoplastic Modeling of Polymers
    Including Asymmetric Effects.” <i>Archive of Applied Mechanics</i>, 2012, pp.
    53–71, doi:<a href="https://doi.org/10.1007/s00419-012-0632-6">10.1007/s00419-012-0632-6</a>.
  short: R. Mahnken, A. Shaban, Archive of Applied Mechanics (2012) 53–71.
date_created: 2021-09-20T12:52:14Z
date_updated: 2023-01-24T15:11:40Z
department:
- _id: '9'
- _id: '154'
doi: 10.1007/s00419-012-0632-6
language:
- iso: eng
page: 53-71
publication: Archive of Applied Mechanics
publication_identifier:
  issn:
  - 0939-1533
  - 1432-0681
publication_status: published
quality_controlled: '1'
status: public
title: Finite elasto-viscoplastic modeling of polymers including asymmetric effects
type: journal_article
user_id: '335'
year: '2012'
...
---
_id: '25096'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: Andreas
  full_name: Schneidt, Andreas
  last_name: Schneidt
citation:
  ama: Mahnken R, Schneidt A. A thermodynamics framework and numerical aspects for
    transformation-induced plasticity at large strains. <i>Archive of Applied Mechanics</i>.
    Published online 2009:229-253. doi:<a href="https://doi.org/10.1007/s00419-009-0308-z">10.1007/s00419-009-0308-z</a>
  apa: Mahnken, R., &#38; Schneidt, A. (2009). A thermodynamics framework and numerical
    aspects for transformation-induced plasticity at large strains. <i>Archive of
    Applied Mechanics</i>, 229–253. <a href="https://doi.org/10.1007/s00419-009-0308-z">https://doi.org/10.1007/s00419-009-0308-z</a>
  bibtex: '@article{Mahnken_Schneidt_2009, title={A thermodynamics framework and numerical
    aspects for transformation-induced plasticity at large strains}, DOI={<a href="https://doi.org/10.1007/s00419-009-0308-z">10.1007/s00419-009-0308-z</a>},
    journal={Archive of Applied Mechanics}, author={Mahnken, Rolf and Schneidt, Andreas},
    year={2009}, pages={229–253} }'
  chicago: Mahnken, Rolf, and Andreas Schneidt. “A Thermodynamics Framework and Numerical
    Aspects for Transformation-Induced Plasticity at Large Strains.” <i>Archive of
    Applied Mechanics</i>, 2009, 229–53. <a href="https://doi.org/10.1007/s00419-009-0308-z">https://doi.org/10.1007/s00419-009-0308-z</a>.
  ieee: 'R. Mahnken and A. Schneidt, “A thermodynamics framework and numerical aspects
    for transformation-induced plasticity at large strains,” <i>Archive of Applied
    Mechanics</i>, pp. 229–253, 2009, doi: <a href="https://doi.org/10.1007/s00419-009-0308-z">10.1007/s00419-009-0308-z</a>.'
  mla: Mahnken, Rolf, and Andreas Schneidt. “A Thermodynamics Framework and Numerical
    Aspects for Transformation-Induced Plasticity at Large Strains.” <i>Archive of
    Applied Mechanics</i>, 2009, pp. 229–53, doi:<a href="https://doi.org/10.1007/s00419-009-0308-z">10.1007/s00419-009-0308-z</a>.
  short: R. Mahnken, A. Schneidt, Archive of Applied Mechanics (2009) 229–253.
date_created: 2021-09-28T13:24:48Z
date_updated: 2023-01-25T14:28:07Z
department:
- _id: '9'
- _id: '154'
doi: 10.1007/s00419-009-0308-z
language:
- iso: eng
page: 229-253
publication: Archive of Applied Mechanics
publication_identifier:
  issn:
  - 0939-1533
  - 1432-0681
publication_status: published
quality_controlled: '1'
status: public
title: A thermodynamics framework and numerical aspects for transformation-induced
  plasticity at large strains
type: journal_article
user_id: '335'
year: '2009'
...