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250 Publications


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.
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2021 | Journal Article | LibreCat-ID: 29085
C. Cheng and R. Mahnken, “A modified Zerilli–Armstrong model as the asymmetric visco-plastic part of a multi-mechanism model for cutting simulations,” Archive of Applied Mechanics, pp. 3869–3888, 2021, doi: 10.1007/s00419-021-01982-6.
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2021 | Journal Article | LibreCat-ID: 29092
X. Ju, R. Mahnken, L. Liang, and Y. Xu, “Goal-oriented mesh adaptivity for inverse problems in linear micromorphic elasticity,” Computers & Structures, Art. no. 106671, 2021, doi: 10.1016/j.compstruc.2021.106671.
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2021 | Journal Article | LibreCat-ID: 29090
P. Lenz and R. Mahnken, “Integral‐type non‐local damage simulation of composites using mean‐field homogenization methods,” PAMM, 2021, doi: 10.1002/pamm.202100081.
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2021 | Journal Article | LibreCat-ID: 29091
A. Henkes, H. Wessels, and R. Mahnken, “Physics informed neural networks for continuum micromechanics,” PAMM, 2021, doi: 10.1002/pamm.202100040.
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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.
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2019 | Journal Article | LibreCat-ID: 13431
A. Dridger, I. Caylak, R. Mahnken, and E. Penner, “‘A possibilistic finite element method for sparse data,’” Safety and Reliability, pp. 58–82, 2019.
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2019 | Journal Article | LibreCat-ID: 13432
X. Ju and R. Mahnken, “‘Goal-oriented h-type adaptive finite elements for micromorphic elastoplasticity,’” Computer Methods in Applied Mechanics and Engineering, pp. 297–329, 2019.
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2019 | Journal Article | LibreCat-ID: 13434
M. Mäck et al., “‘Optimization with constraints considering polymorphic uncertainties,’” GAMM-Mitteilungen, 2019.
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2019 | Journal Article | LibreCat-ID: 13805
R. Mahnken and X. Ju, “Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field homogenization methods in linear elasticity,” International Journal for Numerical Methods in Engineering, 2019.
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2019 | Journal Article | LibreCat-ID: 13806
C. Dammann and R. Mahnken, “Simulation of a resin transfer molding process using a phase field approach within the theory of porous media,” Composites Part A: Applied Science and Manufacturing, vol. 120, pp. 147–160, 2019.
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2019 | Journal Article | LibreCat-ID: 13807
X. Ju and R. Mahnken, “‘Goal-oriented adaptivity on mean-field and full-field homogenization methods considering hierarchical unit cells,’” PAMM, vol. 19.
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2019 | Journal Article | LibreCat-ID: 13813
P. Lenz and R. Mahnken, “‘Damage simulation of fiber reinforced composites using mean-field homogenization methods’ ,” PAMM, vol. 19, 2019.
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2019 | Journal Article | LibreCat-ID: 19122
E. Penner, I. Caylak, A. Dridger, and R. Mahnken, “A polynomial chaos expanded hybrid fuzzy-stochastic model for transversely fiber reinforced plastics,” Mathematics and Mechanics of Complex Systems, pp. 99–129, 2019, doi: 10.2140/memocs.2019.7.99.
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2019 | Journal Article | LibreCat-ID: 19120
I. Caylak, E. Penner, and R. Mahnken, “A fuzzy uncertainty model for analytical and numerical homogenization of transversely fiber reinforced plastics,” PAMM, 2019, doi: 10.1002/pamm.201900356.
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2019 | Journal Article | LibreCat-ID: 24429
X. Ju and R. Mahnken, “Model adaptivity on mean‐field and full‐field homogenization methods considering hierarchical unit cells,” PAMM, 2019, doi: 10.1002/pamm.201900177.
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2019 | Journal Article | LibreCat-ID: 19424
P. Lenz and R. Mahnken, “Damage simulation of fiber reinforced composites using mean‐field homogenization methods,” PAMM, 2019, doi: 10.1002/pamm.201900370.
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2019 | Book | LibreCat-ID: 19326
R. Mahnken, Lehrbuch der Technischen Mechanik - Band 2: Elastostatik. Berlin, Heidelberg, 2019.
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2019 | Dissertation | LibreCat-ID: 42187
K.-U. Widany, Adaptive Finite Element Methods for Direct and Inverse Problems in Nonlinear Solid Mechanics. Shaker, 2019.
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2019 | Dissertation | LibreCat-ID: 42190
C. Damman, Experimental Characterization and Constitutive Modeling of Reinforced Thermoplastic and Thermosetting Polymers. Shaker, 2019.
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