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19 Publications
2023 | Journal Article | LibreCat-ID: 48465
H. Westermann and R. Mahnken, “On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge–Kutta methods (ELDIRK) for the adaptive solution of phase-field problems,” Computer Methods in Applied Mechanics and Engineering, vol. 418, Art. no. 116545, 2023, doi: 10.1016/j.cma.2023.116545.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 30657
A. Henkes, H. Wessels, and R. Mahnken, “Physics informed neural networks for continuum micromechanics,” Computer Methods in Applied Mechanics and Engineering, vol. 393, Art. no. 114790, 2022, doi: 10.1016/j.cma.2022.114790.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 32592
X. Ju, R. Mahnken, Y. Xu, and L. Liang, “NTFA-enabled goal-oriented adaptive space–time finite elements for micro-heterogeneous elastoplasticity problems,” Computer Methods in Applied Mechanics and Engineering, vol. 398, Art. no. 115199, 2022, doi: 10.1016/j.cma.2022.115199.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 33801
R. Mahnken, “New low order Runge–Kutta schemes for asymptotically exact global error estimation of embedded methods without order reduction,” Computer Methods in Applied Mechanics and Engineering, vol. 401, Art. no. 115553, 2022, doi: 10.1016/j.cma.2022.115553.
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 24376
A. Henkes, I. Caylak, and R. Mahnken, “A deep learning driven pseudospectral PCE based FFT homogenization algorithm for complex microstructures,” Computer Methods in Applied Mechanics and Engineering, Art. no. 114070, 2021, doi: 10.1016/j.cma.2021.114070.
LibreCat
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2020 | Journal Article | LibreCat-ID: 24374
I. Caylak, E. Penner, and R. Mahnken, “Mean-field and full-field homogenization with polymorphic uncertain geometry and material parameters,” Computer Methods in Applied Mechanics and Engineering, Art. no. 113439, 2020, doi: 10.1016/j.cma.2020.113439.
LibreCat
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2012 | Journal Article | LibreCat-ID: 24893
K.-U. Widany and R. Mahnken, “Adaptivity for parameter identification of incompressible hyperelastic materials using stabilized tetrahedral elements,” Computer Methods in Applied Mechanics and Engineering, pp. 117–131, 2012, doi: 10.1016/j.cma.2012.06.017.
LibreCat
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2007 | Journal Article | LibreCat-ID: 19112
R. Mahnken, I. Caylak, and G. Laschet, “Two mixed finite element formulations with area bubble functions for tetrahedral elements,” Computer Methods in Applied Mechanics and Engineering, pp. 1147–1165, 2007, doi: 10.1016/j.cma.2007.10.007.
LibreCat
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2005 | Journal Article | LibreCat-ID: 28775
R. Mahnken, “Simulation of strength difference for adhesive materials in finite deformation elasto-plasticity,” Computer Methods in Applied Mechanics and Engineering, pp. 4097–4114, 2005, doi: 10.1016/j.cma.2004.10.006.
LibreCat
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2005 | Journal Article | LibreCat-ID: 28776
R. Mahnken, “Creep simulation of asymmetric effects at large strains by stress mode decomposition,” Computer Methods in Applied Mechanics and Engineering, pp. 4221–4243, 2005, doi: 10.1016/j.cma.2004.11.003.
LibreCat
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2004 | Journal Article | LibreCat-ID: 28778
R. Mahnken, “Void growth in finite deformation elasto-plasticity due to hydrostatic stress states,” Computer Methods in Applied Mechanics and Engineering, pp. 3689–3709, 2004, doi: 10.1016/j.cma.2003.09.032.
LibreCat
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2002 | Journal Article | LibreCat-ID: 28787
R. Mahnken, “Anistropic creep modeling based on elastic projection operators with applications to CMSX-4 superalloy,” Computer Methods in Applied Mechanics and Engineering, pp. 1611–1637, 2002, doi: 10.1016/s0045-7825(01)00348-6.
LibreCat
| DOI
2002 | Journal Article | LibreCat-ID: 45307
R. Mahnken, “Strength difference in compression and tension and pressure dependence of yielding in elasto-plasticity,” Computer Methods in Applied Mechanics and Engineering, vol. 190, no. 39, pp. 5057–5080, 2002, doi: 10.1016/s0045-7825(00)00364-9.
LibreCat
| DOI
2002 | Journal Article | LibreCat-ID: 45412
R. Mahnken and M. Kohlmeier, “Finite element simulation for rock salt with dilatancy boundary coupled to fluid permeation,” Computer Methods in Applied Mechanics and Engineering, vol. 190, no. 32–33, pp. 4259–4278, 2002, doi: 10.1016/s0045-7825(00)00317-0.
LibreCat
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2002 | Journal Article | LibreCat-ID: 45429
R. Mahnken and E. Stein, “A unified approach for parameter identification of inelastic material models in the frame of the finite element method,” Computer Methods in Applied Mechanics and Engineering, vol. 136, no. 3–4, pp. 225–258, 2002, doi: 10.1016/0045-7825(96)00991-7.
LibreCat
| DOI
2002 | Journal Article | LibreCat-ID: 45428
R. Mahnken and E. Stein, “Parameter identification for finite deformation elasto-plasticity in principal directions,” Computer Methods in Applied Mechanics and Engineering, vol. 147, no. 1–2, pp. 17–39, 2002, doi: 10.1016/s0045-7825(97)00008-x.
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