Westermann H, Mahnken R. 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. 2023;418. doi:10.1016/j.cma.2023.116545
LibreCat: /record/48465
DOI: 10.1016/j.cma.2023.116545

Henkes A, Wessels H, Mahnken R. Physics informed neural networks for continuum micromechanics. Computer Methods in Applied Mechanics and Engineering. 2022;393. doi:10.1016/j.cma.2022.114790
LibreCat: /record/30657
DOI: 10.1016/j.cma.2022.114790

Ju X, Mahnken R, Xu Y, Liang L. NTFA-enabled goal-oriented adaptive space–time finite elements for micro-heterogeneous elastoplasticity problems. Computer Methods in Applied Mechanics and Engineering. 2022;398. doi:10.1016/j.cma.2022.115199
LibreCat: /record/32592
DOI: 10.1016/j.cma.2022.115199

Mahnken R. 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. 2022;401. doi:10.1016/j.cma.2022.115553
LibreCat: /record/33801
DOI: 10.1016/j.cma.2022.115553

Henkes A, Caylak I, Mahnken R. A deep learning driven pseudospectral PCE based FFT homogenization algorithm for complex microstructures. Computer Methods in Applied Mechanics and Engineering. Published online 2021. doi:10.1016/j.cma.2021.114070
LibreCat: /record/24376
DOI: 10.1016/j.cma.2021.114070

Caylak I, Penner E, Mahnken R. Mean-field and full-field homogenization with polymorphic uncertain geometry and material parameters. Computer Methods in Applied Mechanics and Engineering. Published online 2020. doi:10.1016/j.cma.2020.113439
LibreCat: /record/24374
DOI: 10.1016/j.cma.2020.113439

Ju X, Mahnken R. “Goal-oriented h-type adaptive finite elements for micromorphic elastoplasticity.”10.1016/j.cma.2019.01.031__Computer Methods in Applied Mechanics and Engineering. 2019:297-329. doi:10.1016/j.cma.2019.01.031
LibreCat: /record/13432
DOI: 10.1016/j.cma.2019.01.031

Ju X, Mahnken R. “Model adaptivity on effective elastic properties coupled with adaptive FEM.”10.1016/j.cma.2017.04.013__Computer Methods in Applied Mechanics and Engineering. 2017;322:208-237. doi:10.1016/j.cma.2017.04.013
LibreCat: /record/10004
DOI: 10.1016/j.cma.2017.04.013

Widany K-U, Mahnken R. Adaptivity for parameter identification of incompressible hyperelastic materials using stabilized tetrahedral elements. Computer Methods in Applied Mechanics and Engineering. Published online 2012:117-131. doi:10.1016/j.cma.2012.06.017
LibreCat: /record/24893
DOI: 10.1016/j.cma.2012.06.017

Mahnken R, Caylak I, Laschet G. Two mixed finite element formulations with area bubble functions for tetrahedral elements. Computer Methods in Applied Mechanics and Engineering. Published online 2007:1147-1165. doi:10.1016/j.cma.2007.10.007
LibreCat: /record/19112
DOI: 10.1016/j.cma.2007.10.007

Mahnken R. Simulation of strength difference for adhesive materials in finite deformation elasto-plasticity. Computer Methods in Applied Mechanics and Engineering. Published online 2005:4097-4114. doi:10.1016/j.cma.2004.10.006
LibreCat: /record/28775
DOI: 10.1016/j.cma.2004.10.006

Mahnken R. Creep simulation of asymmetric effects at large strains by stress mode decomposition. Computer Methods in Applied Mechanics and Engineering. Published online 2005:4221-4243. doi:10.1016/j.cma.2004.11.003
LibreCat: /record/28776
DOI: 10.1016/j.cma.2004.11.003

Mahnken R. Void growth in finite deformation elasto-plasticity due to hydrostatic stress states. Computer Methods in Applied Mechanics and Engineering. Published online 2004:3689-3709. doi:10.1016/j.cma.2003.09.032
LibreCat: /record/28778
DOI: 10.1016/j.cma.2003.09.032

Mahnken R. Anistropic creep modeling based on elastic projection operators with applications to CMSX-4 superalloy. Computer Methods in Applied Mechanics and Engineering. Published online 2002:1611-1637. doi:10.1016/s0045-7825(01)00348-6
LibreCat: /record/28787
DOI: 10.1016/s0045-7825(01)00348-6

Mahnken R. Strength difference in compression and tension and pressure dependence of yielding in elasto-plasticity. Computer Methods in Applied Mechanics and Engineering. 2002;190(39):5057-5080. doi:10.1016/s0045-7825(00)00364-9
LibreCat: /record/45307
DOI: 10.1016/s0045-7825(00)00364-9

Mahnken R, Kohlmeier M. Finite element simulation for rock salt with dilatancy boundary coupled to fluid permeation. Computer Methods in Applied Mechanics and Engineering. 2002;190(32-33):4259-4278. doi:10.1016/s0045-7825(00)00317-0
LibreCat: /record/45412
DOI: 10.1016/s0045-7825(00)00317-0

Mahnken R, Stein E. 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. 2002;136(3-4):225-258. doi:10.1016/0045-7825(96)00991-7
LibreCat: /record/45429
DOI: 10.1016/0045-7825(96)00991-7

Mahnken R, Stein E. Parameter identification for finite deformation elasto-plasticity in principal directions. Computer Methods in Applied Mechanics and Engineering. 2002;147(1-2):17-39. doi:10.1016/s0045-7825(97)00008-x
LibreCat: /record/45428
DOI: 10.1016/s0045-7825(97)00008-x

Aston PJ, Dellnitz M. The computation of lyapunov exponents via spatial integration with application to blowout bifurcations. Computer Methods in Applied Mechanics and Engineering. 1999:223-237. doi:10.1016/s0045-7825(98)00196-0
LibreCat: /record/16511
DOI: 10.1016/s0045-7825(98)00196-0