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19 Publications
2023 | Journal Article | LibreCat-ID: 48465
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
H. Westermann, R. Mahnken, Computer Methods in Applied Mechanics and Engineering 418 (2023).
LibreCat
| DOI
H. Westermann, R. Mahnken, Computer Methods in Applied Mechanics and Engineering 418 (2023).
2022 | Journal Article | LibreCat-ID: 30657
Physics informed neural networks for continuum micromechanics
A. Henkes, H. Wessels, R. Mahnken, Computer Methods in Applied Mechanics and Engineering 393 (2022).
LibreCat
| DOI
A. Henkes, H. Wessels, R. Mahnken, Computer Methods in Applied Mechanics and Engineering 393 (2022).
2022 | Journal Article | LibreCat-ID: 32592
NTFA-enabled goal-oriented adaptive space–time finite elements for micro-heterogeneous elastoplasticity problems
X. Ju, R. Mahnken, Y. Xu, L. Liang, Computer Methods in Applied Mechanics and Engineering 398 (2022).
LibreCat
| DOI
X. Ju, R. Mahnken, Y. Xu, L. Liang, Computer Methods in Applied Mechanics and Engineering 398 (2022).
2022 | Journal Article | LibreCat-ID: 33801
New low order Runge–Kutta schemes for asymptotically exact global error estimation of embedded methods without order reduction
R. Mahnken, Computer Methods in Applied Mechanics and Engineering 401 (2022).
LibreCat
| DOI
R. Mahnken, Computer Methods in Applied Mechanics and Engineering 401 (2022).
2021 | Journal Article | LibreCat-ID: 24376
A deep learning driven pseudospectral PCE based FFT homogenization algorithm for complex microstructures
A. Henkes, I. Caylak, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2021).
LibreCat
| DOI
A. Henkes, I. Caylak, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2021).
2020 | Journal Article | LibreCat-ID: 24374
Mean-field and full-field homogenization with polymorphic uncertain geometry and material parameters
I. Caylak, E. Penner, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2020).
LibreCat
| DOI
I. Caylak, E. Penner, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2020).
2019 | Journal Article | LibreCat-ID: 13432
"Goal-oriented h-type adaptive finite elements for micromorphic elastoplasticity"
X. Ju, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2019) 297–329.
LibreCat
| DOI
X. Ju, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2019) 297–329.
2017 | Journal Article | LibreCat-ID: 10004
"Model adaptivity on effective elastic properties coupled with adaptive FEM"
X. Ju, R. Mahnken, Computer Methods in Applied Mechanics and Engineering 322 (2017) 208–237.
LibreCat
| DOI
X. Ju, R. Mahnken, Computer Methods in Applied Mechanics and Engineering 322 (2017) 208–237.
2012 | Journal Article | LibreCat-ID: 24893
Adaptivity for parameter identification of incompressible hyperelastic materials using stabilized tetrahedral elements
K.-U. Widany, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2012) 117–131.
LibreCat
| DOI
K.-U. Widany, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2012) 117–131.
2007 | Journal Article | LibreCat-ID: 19112
Two mixed finite element formulations with area bubble functions for tetrahedral elements
R. Mahnken, I. Caylak, G. Laschet, Computer Methods in Applied Mechanics and Engineering (2007) 1147–1165.
LibreCat
| DOI
R. Mahnken, I. Caylak, G. Laschet, Computer Methods in Applied Mechanics and Engineering (2007) 1147–1165.
2005 | Journal Article | LibreCat-ID: 28775
Simulation of strength difference for adhesive materials in finite deformation elasto-plasticity
R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2005) 4097–4114.
LibreCat
| DOI
R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2005) 4097–4114.
2005 | Journal Article | LibreCat-ID: 28776
Creep simulation of asymmetric effects at large strains by stress mode decomposition
R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2005) 4221–4243.
LibreCat
| DOI
R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2005) 4221–4243.
2004 | Journal Article | LibreCat-ID: 28778
Void growth in finite deformation elasto-plasticity due to hydrostatic stress states
R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2004) 3689–3709.
LibreCat
| DOI
R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2004) 3689–3709.
2002 | Journal Article | LibreCat-ID: 28787
Anistropic creep modeling based on elastic projection operators with applications to CMSX-4 superalloy
R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2002) 1611–1637.
LibreCat
| DOI
R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2002) 1611–1637.
2002 | Journal Article | LibreCat-ID: 45307
Strength difference in compression and tension and pressure dependence of yielding in elasto-plasticity
R. Mahnken, Computer Methods in Applied Mechanics and Engineering 190 (2002) 5057–5080.
LibreCat
| DOI
R. Mahnken, Computer Methods in Applied Mechanics and Engineering 190 (2002) 5057–5080.
2002 | Journal Article | LibreCat-ID: 45412
Finite element simulation for rock salt with dilatancy boundary coupled to fluid permeation
R. Mahnken, M. Kohlmeier, Computer Methods in Applied Mechanics and Engineering 190 (2002) 4259–4278.
LibreCat
| DOI
R. Mahnken, M. Kohlmeier, Computer Methods in Applied Mechanics and Engineering 190 (2002) 4259–4278.
2002 | Journal Article | LibreCat-ID: 45429
A unified approach for parameter identification of inelastic material models in the frame of the finite element method
R. Mahnken, E. Stein, Computer Methods in Applied Mechanics and Engineering 136 (2002) 225–258.
LibreCat
| DOI
R. Mahnken, E. Stein, Computer Methods in Applied Mechanics and Engineering 136 (2002) 225–258.
2002 | Journal Article | LibreCat-ID: 45428
Parameter identification for finite deformation elasto-plasticity in principal directions
R. Mahnken, E. Stein, Computer Methods in Applied Mechanics and Engineering 147 (2002) 17–39.
LibreCat
| DOI
R. Mahnken, E. Stein, Computer Methods in Applied Mechanics and Engineering 147 (2002) 17–39.
1999 | Journal Article | LibreCat-ID: 16511
The computation of lyapunov exponents via spatial integration with application to blowout bifurcations
P.J. Aston, M. Dellnitz, Computer Methods in Applied Mechanics and Engineering (1999) 223–237.
LibreCat
| DOI
P.J. Aston, M. Dellnitz, Computer Methods in Applied Mechanics and Engineering (1999) 223–237.