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19 Publications
2023 | Journal Article | LibreCat-ID: 48465
Westermann, H., & Mahnken, R. (2023). 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, 418, Article 116545. https://doi.org/10.1016/j.cma.2023.116545
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 30657
Henkes, A., Wessels, H., & Mahnken, R. (2022). Physics informed neural networks for continuum micromechanics. Computer Methods in Applied Mechanics and Engineering, 393, Article 114790. https://doi.org/10.1016/j.cma.2022.114790
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 32592
Ju, X., Mahnken, R., Xu, Y., & Liang, L. (2022). NTFA-enabled goal-oriented adaptive space–time finite elements for micro-heterogeneous elastoplasticity problems. Computer Methods in Applied Mechanics and Engineering, 398, Article 115199. https://doi.org/10.1016/j.cma.2022.115199
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 33801
Mahnken, R. (2022). 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, 401, Article 115553. https://doi.org/10.1016/j.cma.2022.115553
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 24376
Henkes, A., Caylak, I., & Mahnken, R. (2021). A deep learning driven pseudospectral PCE based FFT homogenization algorithm for complex microstructures. Computer Methods in Applied Mechanics and Engineering, Article 114070. https://doi.org/10.1016/j.cma.2021.114070
LibreCat
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2020 | Journal Article | LibreCat-ID: 24374
Caylak, I., Penner, E., & Mahnken, R. (2020). Mean-field and full-field homogenization with polymorphic uncertain geometry and material parameters. Computer Methods in Applied Mechanics and Engineering, Article 113439. https://doi.org/10.1016/j.cma.2020.113439
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 13432
Ju, X., & Mahnken, R. (2019). “Goal-oriented h-type adaptive finite elements for micromorphic elastoplasticity.” Computer Methods in Applied Mechanics and Engineering, 297–329. https://doi.org/10.1016/j.cma.2019.01.031
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 10004
Ju, X., & Mahnken, R. (2017). “Model adaptivity on effective elastic properties coupled with adaptive FEM.” Computer Methods in Applied Mechanics and Engineering, 322, 208–237. https://doi.org/10.1016/j.cma.2017.04.013
LibreCat
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2012 | Journal Article | LibreCat-ID: 24893
Widany, K.-U., & Mahnken, R. (2012). Adaptivity for parameter identification of incompressible hyperelastic materials using stabilized tetrahedral elements. Computer Methods in Applied Mechanics and Engineering, 117–131. https://doi.org/10.1016/j.cma.2012.06.017
LibreCat
| DOI
2007 | Journal Article | LibreCat-ID: 19112
Mahnken, R., Caylak, I., & Laschet, G. (2007). Two mixed finite element formulations with area bubble functions for tetrahedral elements. Computer Methods in Applied Mechanics and Engineering, 1147–1165. https://doi.org/10.1016/j.cma.2007.10.007
LibreCat
| DOI
2005 | Journal Article | LibreCat-ID: 28775
Mahnken, R. (2005). Simulation of strength difference for adhesive materials in finite deformation elasto-plasticity. Computer Methods in Applied Mechanics and Engineering, 4097–4114. https://doi.org/10.1016/j.cma.2004.10.006
LibreCat
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2005 | Journal Article | LibreCat-ID: 28776
Mahnken, R. (2005). Creep simulation of asymmetric effects at large strains by stress mode decomposition. Computer Methods in Applied Mechanics and Engineering, 4221–4243. https://doi.org/10.1016/j.cma.2004.11.003
LibreCat
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2004 | Journal Article | LibreCat-ID: 28778
Mahnken, R. (2004). Void growth in finite deformation elasto-plasticity due to hydrostatic stress states. Computer Methods in Applied Mechanics and Engineering, 3689–3709. https://doi.org/10.1016/j.cma.2003.09.032
LibreCat
| DOI
2002 | Journal Article | LibreCat-ID: 28787
Mahnken, R. (2002). Anistropic creep modeling based on elastic projection operators with applications to CMSX-4 superalloy. Computer Methods in Applied Mechanics and Engineering, 1611–1637. https://doi.org/10.1016/s0045-7825(01)00348-6
LibreCat
| DOI
2002 | Journal Article | LibreCat-ID: 45307
Mahnken, R. (2002). Strength difference in compression and tension and pressure dependence of yielding in elasto-plasticity. Computer Methods in Applied Mechanics and Engineering, 190(39), 5057–5080. https://doi.org/10.1016/s0045-7825(00)00364-9
LibreCat
| DOI
2002 | Journal Article | LibreCat-ID: 45412
Mahnken, R., & Kohlmeier, M. (2002). Finite element simulation for rock salt with dilatancy boundary coupled to fluid permeation. Computer Methods in Applied Mechanics and Engineering, 190(32–33), 4259–4278. https://doi.org/10.1016/s0045-7825(00)00317-0
LibreCat
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2002 | Journal Article | LibreCat-ID: 45429
Mahnken, R., & Stein, E. (2002). 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, 136(3–4), 225–258. https://doi.org/10.1016/0045-7825(96)00991-7
LibreCat
| DOI
2002 | Journal Article | LibreCat-ID: 45428
Mahnken, R., & Stein, E. (2002). Parameter identification for finite deformation elasto-plasticity in principal directions. Computer Methods in Applied Mechanics and Engineering, 147(1–2), 17–39. https://doi.org/10.1016/s0045-7825(97)00008-x
LibreCat
| DOI
1999 | Journal Article | LibreCat-ID: 16511
Aston, P. J., & Dellnitz, M. (1999). The computation of lyapunov exponents via spatial integration with application to blowout bifurcations. Computer Methods in Applied Mechanics and Engineering, 223–237. https://doi.org/10.1016/s0045-7825(98)00196-0
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