---
_id: '52233'
abstract:
- lang: eng
  text: ELDIRK methods are defined to have an <jats:italic>Explicit Last</jats:italic>
    stage in the general Butcher array of <jats:italic>Diagonal Implicit Runge-Kutta</jats:italic>
    methods, with the consequence, that no additional system of equations must be
    solved, compared to the embedded RK method. Two general formulations for second-
    and third-order ELDIRK methods have been obtained recently in Mahnken [21] with
    specific schemes,  e.g. for the embedded implicit Euler method, the embedded trapezoidal-rule
    and the embedded Ellsiepen method. In the first part of this paper, we investigate
    some general stability characteristics of ELDIRK methods, and it will be shown
    that the above specific RK schemes are not A-stable. Therefore, in the second
    part, the above-mentioned general formulations are used for further stability
    investigations, with the aim to construct new second- and third-order ELDIRK methods
    which simultaneously are A-stable. Two numerical examples are concerned with the
    curing for a thermosetting material and phase-field RVE modeling for crystallinity
    and orientation. The numerical results confirm the theoretical results on convergence
    order and stability.
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: Hendrik
  full_name: Westermann, Hendrik
  id: '60816'
  last_name: Westermann
  orcid: 0000-0002-5034-9708
citation:
  ama: Mahnken R, Westermann H. Construction of A-stable explicit last-stage diagonal
    implicit Runge–Kutta (ELDIRK) methods. <i>Computational Mechanics</i>. Published
    online 2024. doi:<a href="https://doi.org/10.1007/s00466-024-02442-y">10.1007/s00466-024-02442-y</a>
  apa: Mahnken, R., &#38; Westermann, H. (2024). Construction of A-stable explicit
    last-stage diagonal implicit Runge–Kutta (ELDIRK) methods. <i>Computational Mechanics</i>.
    <a href="https://doi.org/10.1007/s00466-024-02442-y">https://doi.org/10.1007/s00466-024-02442-y</a>
  bibtex: '@article{Mahnken_Westermann_2024, title={Construction of A-stable explicit
    last-stage diagonal implicit Runge–Kutta (ELDIRK) methods}, DOI={<a href="https://doi.org/10.1007/s00466-024-02442-y">10.1007/s00466-024-02442-y</a>},
    journal={Computational Mechanics}, publisher={Springer Science and Business Media
    LLC}, author={Mahnken, Rolf and Westermann, Hendrik}, year={2024} }'
  chicago: Mahnken, Rolf, and Hendrik Westermann. “Construction of A-Stable Explicit
    Last-Stage Diagonal Implicit Runge–Kutta (ELDIRK) Methods.” <i>Computational Mechanics</i>,
    2024. <a href="https://doi.org/10.1007/s00466-024-02442-y">https://doi.org/10.1007/s00466-024-02442-y</a>.
  ieee: 'R. Mahnken and H. Westermann, “Construction of A-stable explicit last-stage
    diagonal implicit Runge–Kutta (ELDIRK) methods,” <i>Computational Mechanics</i>,
    2024, doi: <a href="https://doi.org/10.1007/s00466-024-02442-y">10.1007/s00466-024-02442-y</a>.'
  mla: Mahnken, Rolf, and Hendrik Westermann. “Construction of A-Stable Explicit Last-Stage
    Diagonal Implicit Runge–Kutta (ELDIRK) Methods.” <i>Computational Mechanics</i>,
    Springer Science and Business Media LLC, 2024, doi:<a href="https://doi.org/10.1007/s00466-024-02442-y">10.1007/s00466-024-02442-y</a>.
  short: R. Mahnken, H. Westermann, Computational Mechanics (2024).
date_created: 2024-03-03T13:23:28Z
date_updated: 2024-03-19T12:14:07Z
department:
- _id: '154'
- _id: '321'
doi: 10.1007/s00466-024-02442-y
keyword:
- Applied Mathematics
- Computational Mathematics
- Computational Theory and Mathematics
- Mechanical Engineering
- Ocean Engineering
- Computational Mechanics
language:
- iso: eng
publication: Computational Mechanics
publication_identifier:
  issn:
  - 0178-7675
  - 1432-0924
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta
  (ELDIRK) methods
type: journal_article
user_id: '335'
year: '2024'
...
---
_id: '48490'
abstract:
- lang: eng
  text: <jats:p>In Nietzsche’s Search for Philosophy – On the Middle Writings, Keith
    Ansell Pearson directs his interpretive gaze to the middle writings of Nietzsche’s
    oeuvre, namely Human, All Too Human (HAH), Dawn and The Gay Science (GS). While
    at least in German Nietzsche scholarship, it is rather debatable whether or not
    the middle writings should have been considered “neglected”– with perhaps Dawn
    being a reasonable exception – it is important to read them as more than merely
    a detour from the “real Nietzsche” found in the Birth of Tragedy and then the
    late works. While Ansell-Pearson does not presume a homogeneous philosophical
    approach in the middle works, he characterizes the period as a whole and each
    work in itself as containing important aspects of Nietzsche’s “search for philosophy”,
    especially in consideration of Nietzsche’s attempts to “unify thought and life”
    (4) in what is labelled a “‘philosophical life’” (4).</jats:p>
author:
- first_name: Niklas
  full_name: Corall, Niklas
  id: '54291'
  last_name: Corall
citation:
  ama: 'Corall N. Nietzsche’s Search for Philosophy: On the Middle Writings Keith
    Ansell-Pearson. <i>The Agonist</i>. 2023;13(1-2):192-199. doi:<a href="https://doi.org/10.33182/agon.v13i2.1681">10.33182/agon.v13i2.1681</a>'
  apa: 'Corall, N. (2023). Nietzsche’s Search for Philosophy: On the Middle Writings
    Keith Ansell-Pearson. <i>The Agonist</i>, <i>13</i>(1–2), 192–199. <a href="https://doi.org/10.33182/agon.v13i2.1681">https://doi.org/10.33182/agon.v13i2.1681</a>'
  bibtex: '@article{Corall_2023, title={Nietzsche’s Search for Philosophy: On the
    Middle Writings Keith Ansell-Pearson}, volume={13}, DOI={<a href="https://doi.org/10.33182/agon.v13i2.1681">10.33182/agon.v13i2.1681</a>},
    number={1–2}, journal={The Agonist}, publisher={Transnational Press London}, author={Corall,
    Niklas}, year={2023}, pages={192–199} }'
  chicago: 'Corall, Niklas. “Nietzsche’s Search for Philosophy: On the Middle Writings
    Keith Ansell-Pearson.” <i>The Agonist</i> 13, no. 1–2 (2023): 192–99. <a href="https://doi.org/10.33182/agon.v13i2.1681">https://doi.org/10.33182/agon.v13i2.1681</a>.'
  ieee: 'N. Corall, “Nietzsche’s Search for Philosophy: On the Middle Writings Keith
    Ansell-Pearson,” <i>The Agonist</i>, vol. 13, no. 1–2, pp. 192–199, 2023, doi:
    <a href="https://doi.org/10.33182/agon.v13i2.1681">10.33182/agon.v13i2.1681</a>.'
  mla: 'Corall, Niklas. “Nietzsche’s Search for Philosophy: On the Middle Writings
    Keith Ansell-Pearson.” <i>The Agonist</i>, vol. 13, no. 1–2, Transnational Press
    London, 2023, pp. 192–99, doi:<a href="https://doi.org/10.33182/agon.v13i2.1681">10.33182/agon.v13i2.1681</a>.'
  short: N. Corall, The Agonist 13 (2023) 192–199.
date_created: 2023-10-26T12:48:00Z
date_updated: 2023-10-27T11:19:09Z
doi: 10.33182/agon.v13i2.1681
intvolume: '        13'
issue: 1-2
keyword:
- Ocean Engineering
language:
- iso: eng
page: 192-199
publication: The Agonist
publication_identifier:
  issn:
  - 2752-4140
  - 2752-4132
publication_status: published
publisher: Transnational Press London
status: public
title: 'Nietzsche’s Search for Philosophy: On the Middle Writings Keith Ansell-Pearson'
type: journal_article
user_id: '54291'
volume: 13
year: '2023'
...
---
_id: '45757'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title><jats:p>Three prominent low order implicit
    time integration schemes are the first order implicit Euler-method, the second
    order trapezoidal rule and the second order Ellsiepen method. Its advantages are
    stability and comparatively low computational cost, however, they require the
    solution of a nonlinear system of equations. This paper presents a general approach
    for the construction of third order Runge–Kutta methods by embedding the above
    mentioned implicit schemes into the class of ELDIRK-methods. These will be defined
    to have an <jats:italic>Explicit Last</jats:italic> stage in the general Butcher
    array of <jats:italic>Diagonal Implicit Runge–Kutta</jats:italic> (DIRK) methods,
    with the consequence, that no additional system of equations must be solved. The
    main results—valid also for non-linear ordinary differential equations—are as
    follows: Two extra function calculations are required in order to embed the implicit
    Euler-method and one extra function calculation is required for the trapezoidal-rule
    and the Ellsiepen method, in order to obtain the third order properties, respectively.
    Two numerical examples are concerned with a parachute with viscous damping and
    a two-dimensional laser beam simulation. Here, we verify the higher order convergence
    behaviours of the proposed new ELDIRK-methods, and its successful performances
    for asymptotically exact global error estimation of so-called reversed embedded
    RK-method are shown.\r\n</jats:p>"
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Mahnken R. Derivation of third order Runge–Kutta methods (ELDIRK) by embedding
    of lower order implicit time integration schemes for local and global error estimation.
    <i>Computational Mechanics</i>. Published online 2023. doi:<a href="https://doi.org/10.1007/s00466-023-02347-2">10.1007/s00466-023-02347-2</a>
  apa: Mahnken, R. (2023). Derivation of third order Runge–Kutta methods (ELDIRK)
    by embedding of lower order implicit time integration schemes for local and global
    error estimation. <i>Computational Mechanics</i>. <a href="https://doi.org/10.1007/s00466-023-02347-2">https://doi.org/10.1007/s00466-023-02347-2</a>
  bibtex: '@article{Mahnken_2023, title={Derivation of third order Runge–Kutta methods
    (ELDIRK) by embedding of lower order implicit time integration schemes for local
    and global error estimation}, DOI={<a href="https://doi.org/10.1007/s00466-023-02347-2">10.1007/s00466-023-02347-2</a>},
    journal={Computational Mechanics}, publisher={Springer Science and Business Media
    LLC}, author={Mahnken, Rolf}, year={2023} }'
  chicago: Mahnken, Rolf. “Derivation of Third Order Runge–Kutta Methods (ELDIRK)
    by Embedding of Lower Order Implicit Time Integration Schemes for Local and Global
    Error Estimation.” <i>Computational Mechanics</i>, 2023. <a href="https://doi.org/10.1007/s00466-023-02347-2">https://doi.org/10.1007/s00466-023-02347-2</a>.
  ieee: 'R. Mahnken, “Derivation of third order Runge–Kutta methods (ELDIRK) by embedding
    of lower order implicit time integration schemes for local and global error estimation,”
    <i>Computational Mechanics</i>, 2023, doi: <a href="https://doi.org/10.1007/s00466-023-02347-2">10.1007/s00466-023-02347-2</a>.'
  mla: Mahnken, Rolf. “Derivation of Third Order Runge–Kutta Methods (ELDIRK) by Embedding
    of Lower Order Implicit Time Integration Schemes for Local and Global Error Estimation.”
    <i>Computational Mechanics</i>, Springer Science and Business Media LLC, 2023,
    doi:<a href="https://doi.org/10.1007/s00466-023-02347-2">10.1007/s00466-023-02347-2</a>.
  short: R. Mahnken, Computational Mechanics (2023).
date_created: 2023-06-23T06:47:36Z
date_updated: 2023-06-23T06:48:42Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1007/s00466-023-02347-2
keyword:
- Applied Mathematics
- Computational Mathematics
- Computational Theory and Mathematics
- Mechanical Engineering
- Ocean Engineering
- Computational Mechanics
language:
- iso: eng
publication: Computational Mechanics
publication_identifier:
  issn:
  - 0178-7675
  - 1432-0924
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: Derivation of third order Runge–Kutta methods (ELDIRK) by embedding of lower
  order implicit time integration schemes for local and global error estimation
type: journal_article
user_id: '335'
year: '2023'
...
---
_id: '30655'
author:
- first_name: Xiaozhe
  full_name: Ju, Xiaozhe
  last_name: Ju
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: Yangjian
  full_name: Xu, Yangjian
  last_name: Xu
- first_name: Lihua
  full_name: Liang, Lihua
  last_name: Liang
citation:
  ama: Ju X, Mahnken R, Xu Y, Liang L. Goal-oriented error estimation and h-adaptive
    finite elements for hyperelastic micromorphic continua. <i>Computational Mechanics</i>.
    2022;69(3):847-863. doi:<a href="https://doi.org/10.1007/s00466-021-02117-y">10.1007/s00466-021-02117-y</a>
  apa: Ju, X., Mahnken, R., Xu, Y., &#38; Liang, L. (2022). Goal-oriented error estimation
    and h-adaptive finite elements for hyperelastic micromorphic continua. <i>Computational
    Mechanics</i>, <i>69</i>(3), 847–863. <a href="https://doi.org/10.1007/s00466-021-02117-y">https://doi.org/10.1007/s00466-021-02117-y</a>
  bibtex: '@article{Ju_Mahnken_Xu_Liang_2022, title={Goal-oriented error estimation
    and h-adaptive finite elements for hyperelastic micromorphic continua}, volume={69},
    DOI={<a href="https://doi.org/10.1007/s00466-021-02117-y">10.1007/s00466-021-02117-y</a>},
    number={3}, journal={Computational Mechanics}, publisher={Springer Science and
    Business Media LLC}, author={Ju, Xiaozhe and Mahnken, Rolf and Xu, Yangjian and
    Liang, Lihua}, year={2022}, pages={847–863} }'
  chicago: 'Ju, Xiaozhe, Rolf Mahnken, Yangjian Xu, and Lihua Liang. “Goal-Oriented
    Error Estimation and h-Adaptive Finite Elements for Hyperelastic Micromorphic
    Continua.” <i>Computational Mechanics</i> 69, no. 3 (2022): 847–63. <a href="https://doi.org/10.1007/s00466-021-02117-y">https://doi.org/10.1007/s00466-021-02117-y</a>.'
  ieee: 'X. Ju, R. Mahnken, Y. Xu, and L. Liang, “Goal-oriented error estimation and
    h-adaptive finite elements for hyperelastic micromorphic continua,” <i>Computational
    Mechanics</i>, vol. 69, no. 3, pp. 847–863, 2022, doi: <a href="https://doi.org/10.1007/s00466-021-02117-y">10.1007/s00466-021-02117-y</a>.'
  mla: Ju, Xiaozhe, et al. “Goal-Oriented Error Estimation and h-Adaptive Finite Elements
    for Hyperelastic Micromorphic Continua.” <i>Computational Mechanics</i>, vol.
    69, no. 3, Springer Science and Business Media LLC, 2022, pp. 847–63, doi:<a href="https://doi.org/10.1007/s00466-021-02117-y">10.1007/s00466-021-02117-y</a>.
  short: X. Ju, R. Mahnken, Y. Xu, L. Liang, Computational Mechanics 69 (2022) 847–863.
date_created: 2022-03-28T13:23:17Z
date_updated: 2023-01-24T13:10:56Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1007/s00466-021-02117-y
intvolume: '        69'
issue: '3'
keyword:
- Applied Mathematics
- Computational Mathematics
- Computational Theory and Mathematics
- Mechanical Engineering
- Ocean Engineering
- Computational Mechanics
language:
- iso: eng
page: 847-863
publication: Computational Mechanics
publication_identifier:
  issn:
  - 0178-7675
  - 1432-0924
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: Goal-oriented error estimation and h-adaptive finite elements for hyperelastic
  micromorphic continua
type: journal_article
user_id: '335'
volume: 69
year: '2022'
...
---
_id: '47909'
article_number: '82'
author:
- first_name: Daniel
  full_name: Reimsbach, Daniel
  id: '100169'
  last_name: Reimsbach
- first_name: Bastian
  full_name: Hauschild, Bastian
  last_name: Hauschild
citation:
  ama: 'Reimsbach D, Hauschild B. Testing vs. building accounting theory with experimental
    research: insights from management research. <i>International Journal of Behavioural
    Accounting and Finance</i>. 2015;5(1). doi:<a href="https://doi.org/10.1504/ijbaf.2015.071050">10.1504/ijbaf.2015.071050</a>'
  apa: 'Reimsbach, D., &#38; Hauschild, B. (2015). Testing vs. building accounting
    theory with experimental research: insights from management research. <i>International
    Journal of Behavioural Accounting and Finance</i>, <i>5</i>(1), Article 82. <a
    href="https://doi.org/10.1504/ijbaf.2015.071050">https://doi.org/10.1504/ijbaf.2015.071050</a>'
  bibtex: '@article{Reimsbach_Hauschild_2015, title={Testing vs. building accounting
    theory with experimental research: insights from management research}, volume={5},
    DOI={<a href="https://doi.org/10.1504/ijbaf.2015.071050">10.1504/ijbaf.2015.071050</a>},
    number={182}, journal={International Journal of Behavioural Accounting and Finance},
    publisher={Inderscience Publishers}, author={Reimsbach, Daniel and Hauschild,
    Bastian}, year={2015} }'
  chicago: 'Reimsbach, Daniel, and Bastian Hauschild. “Testing vs. Building Accounting
    Theory with Experimental Research: Insights from Management Research.” <i>International
    Journal of Behavioural Accounting and Finance</i> 5, no. 1 (2015). <a href="https://doi.org/10.1504/ijbaf.2015.071050">https://doi.org/10.1504/ijbaf.2015.071050</a>.'
  ieee: 'D. Reimsbach and B. Hauschild, “Testing vs. building accounting theory with
    experimental research: insights from management research,” <i>International Journal
    of Behavioural Accounting and Finance</i>, vol. 5, no. 1, Art. no. 82, 2015, doi:
    <a href="https://doi.org/10.1504/ijbaf.2015.071050">10.1504/ijbaf.2015.071050</a>.'
  mla: 'Reimsbach, Daniel, and Bastian Hauschild. “Testing vs. Building Accounting
    Theory with Experimental Research: Insights from Management Research.” <i>International
    Journal of Behavioural Accounting and Finance</i>, vol. 5, no. 1, 82, Inderscience
    Publishers, 2015, doi:<a href="https://doi.org/10.1504/ijbaf.2015.071050">10.1504/ijbaf.2015.071050</a>.'
  short: D. Reimsbach, B. Hauschild, International Journal of Behavioural Accounting
    and Finance 5 (2015).
date_created: 2023-10-10T09:18:12Z
date_updated: 2023-10-30T11:37:01Z
department:
- _id: '186'
- _id: '815'
doi: 10.1504/ijbaf.2015.071050
intvolume: '         5'
issue: '1'
keyword:
- Geology
- Ocean Engineering
- Water Science and Technology
language:
- iso: eng
publication: International Journal of Behavioural Accounting and Finance
publication_identifier:
  issn:
  - 1753-1969
  - 1753-1977
publication_status: published
publisher: Inderscience Publishers
status: public
title: 'Testing vs. building accounting theory with experimental research: insights
  from management research'
type: journal_article
user_id: '21810'
volume: 5
year: '2015'
...
---
_id: '45431'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Mahnken R. A Newton-Multigrid algrithm for elasto-plastic/viscoplastic problems.
    <i>Computational Mechanics</i>. 2008;15(5):408-425. doi:<a href="https://doi.org/10.1007/bf00350355">10.1007/bf00350355</a>
  apa: Mahnken, R. (2008). A Newton-Multigrid algrithm for elasto-plastic/viscoplastic
    problems. <i>Computational Mechanics</i>, <i>15</i>(5), 408–425. <a href="https://doi.org/10.1007/bf00350355">https://doi.org/10.1007/bf00350355</a>
  bibtex: '@article{Mahnken_2008, title={A Newton-Multigrid algrithm for elasto-plastic/viscoplastic
    problems}, volume={15}, DOI={<a href="https://doi.org/10.1007/bf00350355">10.1007/bf00350355</a>},
    number={5}, journal={Computational Mechanics}, publisher={Springer Science and
    Business Media LLC}, author={Mahnken, Rolf}, year={2008}, pages={408–425} }'
  chicago: 'Mahnken, Rolf. “A Newton-Multigrid Algrithm for Elasto-Plastic/Viscoplastic
    Problems.” <i>Computational Mechanics</i> 15, no. 5 (2008): 408–25. <a href="https://doi.org/10.1007/bf00350355">https://doi.org/10.1007/bf00350355</a>.'
  ieee: 'R. Mahnken, “A Newton-Multigrid algrithm for elasto-plastic/viscoplastic
    problems,” <i>Computational Mechanics</i>, vol. 15, no. 5, pp. 408–425, 2008,
    doi: <a href="https://doi.org/10.1007/bf00350355">10.1007/bf00350355</a>.'
  mla: Mahnken, Rolf. “A Newton-Multigrid Algrithm for Elasto-Plastic/Viscoplastic
    Problems.” <i>Computational Mechanics</i>, vol. 15, no. 5, Springer Science and
    Business Media LLC, 2008, pp. 408–25, doi:<a href="https://doi.org/10.1007/bf00350355">10.1007/bf00350355</a>.
  short: R. Mahnken, Computational Mechanics 15 (2008) 408–425.
date_created: 2023-05-31T12:26:42Z
date_updated: 2023-05-31T12:27:11Z
department:
- _id: '9'
- _id: '154'
doi: 10.1007/bf00350355
intvolume: '        15'
issue: '5'
keyword:
- Applied Mathematics
- Computational Mathematics
- Computational Theory and Mathematics
- Mechanical Engineering
- Ocean Engineering
- Computational Mechanics
language:
- iso: eng
page: 408-425
publication: Computational Mechanics
publication_identifier:
  issn:
  - 0178-7675
  - 1432-0924
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: A Newton-Multigrid algrithm for elasto-plastic/viscoplastic problems
type: journal_article
user_id: '335'
volume: 15
year: '2008'
...
---
_id: '45417'
author:
- first_name: C.
  full_name: Döbert, C.
  last_name: Döbert
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: E.
  full_name: Stein, E.
  last_name: Stein
citation:
  ama: Döbert C, Mahnken R, Stein E. Numerical simulation of interface debonding with
    a combined damage/friction constitutive model. <i>Computational Mechanics</i>.
    2002;25(5):456-467. doi:<a href="https://doi.org/10.1007/s004660050493">10.1007/s004660050493</a>
  apa: Döbert, C., Mahnken, R., &#38; Stein, E. (2002). Numerical simulation of interface
    debonding with a combined damage/friction constitutive model. <i>Computational
    Mechanics</i>, <i>25</i>(5), 456–467. <a href="https://doi.org/10.1007/s004660050493">https://doi.org/10.1007/s004660050493</a>
  bibtex: '@article{Döbert_Mahnken_Stein_2002, title={Numerical simulation of interface
    debonding with a combined damage/friction constitutive model}, volume={25}, DOI={<a
    href="https://doi.org/10.1007/s004660050493">10.1007/s004660050493</a>}, number={5},
    journal={Computational Mechanics}, publisher={Springer Science and Business Media
    LLC}, author={Döbert, C. and Mahnken, Rolf and Stein, E.}, year={2002}, pages={456–467}
    }'
  chicago: 'Döbert, C., Rolf Mahnken, and E. Stein. “Numerical Simulation of Interface
    Debonding with a Combined Damage/Friction Constitutive Model.” <i>Computational
    Mechanics</i> 25, no. 5 (2002): 456–67. <a href="https://doi.org/10.1007/s004660050493">https://doi.org/10.1007/s004660050493</a>.'
  ieee: 'C. Döbert, R. Mahnken, and E. Stein, “Numerical simulation of interface debonding
    with a combined damage/friction constitutive model,” <i>Computational Mechanics</i>,
    vol. 25, no. 5, pp. 456–467, 2002, doi: <a href="https://doi.org/10.1007/s004660050493">10.1007/s004660050493</a>.'
  mla: Döbert, C., et al. “Numerical Simulation of Interface Debonding with a Combined
    Damage/Friction Constitutive Model.” <i>Computational Mechanics</i>, vol. 25,
    no. 5, Springer Science and Business Media LLC, 2002, pp. 456–67, doi:<a href="https://doi.org/10.1007/s004660050493">10.1007/s004660050493</a>.
  short: C. Döbert, R. Mahnken, E. Stein, Computational Mechanics 25 (2002) 456–467.
date_created: 2023-05-31T12:04:03Z
date_updated: 2023-05-31T12:04:35Z
department:
- _id: '9'
- _id: '154'
doi: 10.1007/s004660050493
intvolume: '        25'
issue: '5'
keyword:
- Applied Mathematics
- Computational Mathematics
- Computational Theory and Mathematics
- Mechanical Engineering
- Ocean Engineering
- Computational Mechanics
language:
- iso: eng
page: 456-467
publication: Computational Mechanics
publication_identifier:
  issn:
  - 0178-7675
  - 1432-0924
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: Numerical simulation of interface debonding with a combined damage/friction
  constitutive model
type: journal_article
user_id: '335'
volume: 25
year: '2002'
...