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252 Publications
2022 | Journal Article | LibreCat-ID: 31185
X. Ju, R. Mahnken, Y. Xu, L. Liang, C. Cheng, and W. Zhou, “Multiscale analysis of composite structures with goal-oriented mesh adaptivity and reduced order homogenization,” Composite Structures, Art. no. 115699, 2022, doi: 10.1016/j.compstruct.2022.115699.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 30656
R. Mahnken, “Strain mode-dependent weighting functions in hyperelasticity accounting for verification, validation, and stability of material parameters,” Archive of Applied Mechanics, vol. 92, no. 3, pp. 713–754, 2022, doi: 10.1007/s00419-021-02069-y.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 30655
X. Ju, R. Mahnken, Y. Xu, and L. Liang, “Goal-oriented error estimation and h-adaptive finite elements for hyperelastic micromorphic continua,” Computational Mechanics, vol. 69, no. 3, pp. 847–863, 2022, doi: 10.1007/s00466-021-02117-y.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 30657
A. Henkes, H. Wessels, and R. Mahnken, “Physics informed neural networks for continuum micromechanics,” Computer Methods in Applied Mechanics and Engineering, vol. 393, Art. no. 114790, 2022, doi: 10.1016/j.cma.2022.114790.
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| DOI
2022 | Journal Article | LibreCat-ID: 34074
R. Mahnken and J. Mirzapour, “A statistically based strain energy function for polymer chains in rubber elasticity,” Archive of Applied Mechanics, vol. 92, no. 11, pp. 3295–3323, 2022, doi: 10.1007/s00419-022-02237-8.
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| DOI
2022 | Journal Article | LibreCat-ID: 41485
R. Clemens, E. Barth, E. Uhlmann, Y. Zhan, I. Caylak, and R. Mahnken, “Effects on Process Forces of Individual Milling Tool Edges Depending on the Cutting Angle and Cutting Speed When Milling Cfrp,” SSRN Electronic Journal, 2022, doi: 10.2139/ssrn.4259246.
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| DOI
2022 | Journal Article | LibreCat-ID: 32592
X. Ju, R. Mahnken, Y. Xu, and L. Liang, “NTFA-enabled goal-oriented adaptive space–time finite elements for micro-heterogeneous elastoplasticity problems,” Computer Methods in Applied Mechanics and Engineering, vol. 398, Art. no. 115199, 2022, doi: 10.1016/j.cma.2022.115199.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 34075
E. Penner, I. Caylak, and R. Mahnken, “A polymorphic uncertainty model for the curing process of transversely fiber-reinforced plastics,” Mathematics and Mechanics of Complex Systems, vol. 10, no. 1, pp. 21–50, 2022, doi: 10.2140/memocs.2022.10.21.
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| DOI
2022 | Journal Article | LibreCat-ID: 33801
R. Mahnken, “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, vol. 401, Art. no. 115553, 2022, doi: 10.1016/j.cma.2022.115553.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 23794 | 
H. Westermann, A. Reitz, R. Mahnken, M. Schaper, and O. Grydin, “Microstructure transformations in a press hardening steel during tailored thermo‐mechanical processing,” steel research international, 2022, doi: 10.1002/srin.202100346.
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| DOI
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2021 | Journal Article | LibreCat-ID: 29089
H. Westermann, A. Reitz, R. Mahnken, O. Grydin, and M. Schaper, “Constitutive modeling of viscoplasticity including phase transformations for graded thermo‐mechanical processing,” PAMM, 2021, doi: 10.1002/pamm.202100041.
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 21708
P. Lenz and R. Mahnken, “Damage simulation of thermo‐chemo‐elasto‐plastic fibre reinforced composites using mean‐field homogenization methods,” PAMM, 2021, doi: 10.1002/pamm.202000265.
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| DOI
2021 | Journal Article | LibreCat-ID: 24392
E. Penner, I. Caylak, and R. Mahnken, “An uncertainty model for the curing process of transversely fiber reinforced plastics,” PAMM, 2021, doi: 10.1002/pamm.202000178.
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| DOI
2021 | Journal Article | LibreCat-ID: 24384
H. Westermann and R. Mahnken, “Constitutive modeling of dynamic recrystallization coupled to viscoplasticity,” PAMM, 2021, doi: 10.1002/pamm.202000186.
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| DOI
2021 | Journal Article | LibreCat-ID: 24397
A. Henkes, I. Caylak, and R. Mahnken, “A deep learning driven uncertain full‐field homogenization method,” PAMM, 2021, doi: 10.1002/pamm.202000180.
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| DOI
2021 | Journal Article | LibreCat-ID: 24390
R. Mahnken and H. Westermann, “A non-equilibrium thermodynamic framework for viscoplasticity incorporating dynamic recrystallization at large strains,” International Journal of Plasticity, Art. no. 102988, 2021, doi: 10.1016/j.ijplas.2021.102988.
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| DOI
2021 | Journal Article | LibreCat-ID: 21681
E. Penner, I. Caylak, R. Mahnken, and A. Dridger, “Fuzzy and stochastic approach applied to rubber like materials,” Safety and Reliability, pp. 1–19, 2021, doi: 10.1080/09617353.2020.1858678.
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| DOI
2021 | Conference Paper | LibreCat-ID: 24388
H. Westermann and R. Mahnken, “On the Thermodynamics of Dynamic Recrystallization for Viscoplasticity at Large Strains,” 2021, doi: 10.23967/wccm-eccomas.2020.261.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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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| DOI
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.
LibreCat
| DOI
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.
LibreCat
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.
LibreCat
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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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| DOI
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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2019 | Dissertation | LibreCat-ID: 42191
X. Ju, Adaptive Methods in the Mechanics of Heterogeneous Materials. 2019.
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2019 | Dissertation | LibreCat-ID: 42188
C. Cheng, A multi-mechanism model for cutting simulations combining asymmetric effects and gradient phase transformations. 2019.
LibreCat
2018 | Journal Article | LibreCat-ID: 9899
M. Düsing and R. Mahnken, “„A coupled phase field/diffusion model for upper and lower bainitic transformation”,” International Journal of Solids and Structures, vol. 135, pp. 172–183, 2018.
LibreCat
2018 | Dissertation | LibreCat-ID: 9931
M. Düsing, „Simulation of bainitic transformation with the phase field method“. . 2018.
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