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250 Publications
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
| DOI
2021 | Journal Article | LibreCat-ID: 29085
Cheng, C., & Mahnken, R. (2021). A modified Zerilli–Armstrong model as the asymmetric visco-plastic part of a multi-mechanism model for cutting simulations. Archive of Applied Mechanics, 3869–3888. https://doi.org/10.1007/s00419-021-01982-6
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 29092
Ju, X., Mahnken, R., Liang, L., & Xu, Y. (2021). Goal-oriented mesh adaptivity for inverse problems in linear micromorphic elasticity. Computers & Structures, Article 106671. https://doi.org/10.1016/j.compstruc.2021.106671
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 29090
Lenz, P., & Mahnken, R. (2021). Integral‐type non‐local damage simulation of composites using mean‐field homogenization methods. PAMM. https://doi.org/10.1002/pamm.202100081
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 29091
Henkes, A., Wessels, H., & Mahnken, R. (2021). Physics informed neural networks for continuum micromechanics. PAMM. https://doi.org/10.1002/pamm.202100040
LibreCat
| DOI
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: 13431
Dridger, A., Caylak, I., Mahnken, R., & Penner, E. (2019). “A possibilistic finite element method for sparse data.” Safety and Reliability, 58–82. https://doi.org/10.1080/09617353.2018.1552477
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
2019 | Journal Article | LibreCat-ID: 13434
Mäck, M., Caylak, I., Edler, P., Freitag, S., Hanss, M., Mahnken, R., … Penner, E. (2019). “Optimization with constraints considering polymorphic uncertainties.” GAMM-Mitteilungen. https://doi.org/10.1002/gamm.201900005
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 13805
Mahnken, R., & Ju, X. (2019). 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. https://doi.org/10.1002/nme.6209
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 13806
Dammann, C., & Mahnken, R. (2019). 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, 120, 147–160. https://doi.org/10.1016/j.compositesa.2019.02.022
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 13807
Ju, X., & Mahnken, R. (n.d.). “Goal-oriented adaptivity on mean-field and full-field homogenization methods considering hierarchical unit cells.” PAMM, 19.
LibreCat
2019 | Journal Article | LibreCat-ID: 13813
Lenz, P., & Mahnken, R. (2019). “Damage simulation of fiber reinforced composites using mean-field homogenization methods” . PAMM, 19.
LibreCat
2019 | Journal Article | LibreCat-ID: 19122
Penner, E., Caylak, I., Dridger, A., & Mahnken, R. (2019). A polynomial chaos expanded hybrid fuzzy-stochastic model for transversely fiber reinforced plastics. Mathematics and Mechanics of Complex Systems, 99–129. https://doi.org/10.2140/memocs.2019.7.99
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 19120
Caylak, I., Penner, E., & Mahnken, R. (2019). A fuzzy uncertainty model for analytical and numerical homogenization of transversely fiber reinforced plastics. PAMM. https://doi.org/10.1002/pamm.201900356
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 24429
Ju, X., & Mahnken, R. (2019). Model adaptivity on mean‐field and full‐field homogenization methods considering hierarchical unit cells. PAMM. https://doi.org/10.1002/pamm.201900177
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 19424
Lenz, P., & Mahnken, R. (2019). Damage simulation of fiber reinforced composites using mean‐field homogenization methods. PAMM. https://doi.org/10.1002/pamm.201900370
LibreCat
| DOI
2019 | Book | LibreCat-ID: 19326
Mahnken, R. (2019). Lehrbuch der Technischen Mechanik - Band 2: Elastostatik. https://doi.org/10.1007/978-3-662-58166-7
LibreCat
| DOI
2019 | Dissertation | LibreCat-ID: 42187
Widany, K.-U. (2019). Adaptive Finite Element Methods for Direct and Inverse Problems in Nonlinear Solid Mechanics. Shaker.
LibreCat
2019 | Dissertation | LibreCat-ID: 42190
Damman, C. (2019). Experimental Characterization and Constitutive Modeling of Reinforced Thermoplastic and Thermosetting Polymers. Shaker.
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