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221 Publications


2021 | Journal Article | LibreCat-ID: 23431
C. Cheng et al., “Non-linear mean-field modelling of UD composite laminates accounting for average asymmetric plasticity of the matrix, debonding and progressive failure,” Composites Part B: Engineering, vol. 224, Art. no. 109209, 2021, doi: 10.1016/j.compositesb.2021.109209.
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2021 | Journal Article | LibreCat-ID: 27774
P. Lenz and R. Mahnken, “A general framework for mean-field homogenization of multi-layered linear elastic composites subjected to thermal and curing induced strains,” International Journal of Solids and Structures, Art. no. 111266, 2021, doi: 10.1016/j.ijsolstr.2021.111266.
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2021 | Journal Article | LibreCat-ID: 29088
X. Ju, R. Mahnken, Y. Xu, L. Liang, and W. Zhou, “A nonuniform transformation field analysis for composites with strength difference effects in elastoplasticity,” International Journal of Solids and Structures, Art. no. 111103, 2021, doi: 10.1016/j.ijsolstr.2021.111103.
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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: 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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2018 | Journal Article | LibreCat-ID: 19426
R. Mahnken, P. Lenz, and C. Dammann, “A least squares approach for effective shear properties in an                                                                  $${{\varvec{n}}}$$                                                                            n                                                                    -layered sphere model,” Archive of Applied Mechanics, pp. 2081–2099, 2018, doi: 10.1007/s00419-018-1431-5.
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2018 | Journal Article | LibreCat-ID: 21709
C. Dammann, R. Mahnken, and P. Lenz, “Derivation of an n-layered composite sphere model for thermo-chemo-mechanical effective properties,” PAMM, pp. 581–582, 2018, doi: 10.1002/pamm.201710260.
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2018 | Book Chapter | LibreCat-ID: 24526
A. Dridger and R. Mahnken, “Unschärfe in der Simulation im Kontext von Sicherheitsdiskursen,” in Wissenschaft im Angesicht »großer gesellschaftlicher Herausforderungen«, 2018.
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2018 | Journal Article | LibreCat-ID: 24559
U. Ehlenbröker, M. Petersmann, T. Antretter, and R. Mahnken, “Transformation strains for bainitic variant evolution in steel,” PAMM, pp. 587–588, 2018, doi: 10.1002/pamm.201710263.
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2018 | Journal Article | LibreCat-ID: 24560
P. Lenz, C. Dammann, and R. Mahnken, “The effective shear modulus for ann-layered composite sphere,” PAMM, pp. 609–610, 2018, doi: 10.1002/pamm.201710274.
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2018 | Journal Article | LibreCat-ID: 24428
C. Cheng and R. Mahnken, “A multi-mechanism model for cutting simulation: A Ginzburg-Landau type phase gradient and numerical implementations,” International Journal of Solids and Structures, pp. 1–17, 2018, doi: 10.1016/j.ijsolstr.2018.10.007.
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