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255 Publications
2023 | Journal Article | LibreCat-ID: 44890
A. Tchomgue Simeu and R. Mahnken, “Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field homogenization methods in elasto‐plasticity,” PAMM, vol. 22, no. 1, 2023, doi: 10.1002/pamm.202200053.
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2023 | Journal Article | LibreCat-ID: 45757
R. Mahnken, “Derivation of third order Runge–Kutta methods (ELDIRK) by embedding of lower order implicit time integration schemes for local and global error estimation,” Computational Mechanics, 2023, doi: 10.1007/s00466-023-02347-2.
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2023 | Conference Paper | LibreCat-ID: 46762
A. Tchomgue Simeu and R. Mahnken, “Mesh- and model adaptivity for elasto-plastic mean-field and full-field homogenization based on downwind and upwind approximations,” 2023, doi: 10.23967/admos.2023.054.
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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.
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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.
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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.
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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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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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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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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.
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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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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.
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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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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.
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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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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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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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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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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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