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221 Publications
2023 | Journal Article | LibreCat-ID: 48464
H. Westermann and R. Mahnken, “Numerical investigations of new low‐order explicit last stage diagonal implicit Runge–Kutta schemes with the finite‐element method,” PAMM, vol. 23, no. 2, 2023, doi: 10.1002/pamm.202300071.
LibreCat
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2023 | Journal Article | LibreCat-ID: 48465
H. Westermann and R. Mahnken, “On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge–Kutta methods (ELDIRK) for the adaptive solution of phase-field problems,” Computer Methods in Applied Mechanics and Engineering, vol. 418, Art. no. 116545, 2023, doi: 10.1016/j.cma.2023.116545.
LibreCat
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2023 | Journal Article | LibreCat-ID: 48673
P. Lenz, P. Kreutzheide, and R. Mahnken, “Multiphase elasto-plastic mean-field homogenisation and its consistent linearisation,” Computers & Structures, vol. 290, Art. no. 107160, 2023, doi: 10.1016/j.compstruc.2023.107160.
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2023 | Journal Article | LibreCat-ID: 49866
A. Tchomgue Simeu and R. Mahnken, “Downwind and upwind approximations for mesh and model adaptivity of elasto‐plastic composites,” PAMM, 2023, doi: 10.1002/pamm.202300136.
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2023 | Journal Article | LibreCat-ID: 52219
A. Börger and R. Mahnken, “A micropolar model accounting for asymmetric behavior of cold‐box sand in relation to tensile and compression tests,” PAMM, 2023, doi: 10.1002/pamm.202300126.
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2023 | Journal Article | LibreCat-ID: 54282
A. Hamdoun and R. Mahnken, “A finite strain gradient theory for viscoplasticity by means of micromorphic regularization,” PAMM, vol. 22, no. 1, 2023, doi: 10.1002/pamm.202200074.
LibreCat
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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.
LibreCat
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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.
LibreCat
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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.
LibreCat
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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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