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269 Publications
2024 | Journal Article | LibreCat-ID: 52217
Hamdoun, A., & Mahnken, R. (2024). Experimental investigations of uniaxial and biaxial cold stretching within PC‐films and bars using optical measurements. PAMM. https://doi.org/10.1002/pamm.202300114
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2024 | Journal Article | LibreCat-ID: 52218
Lenz, P., & Mahnken, R. (2024). Multiscale simulation of polymer curing of composites combined mean-field homogenisation methods at large strains. International Journal of Solids and Structures, 290, Article 112642. https://doi.org/10.1016/j.ijsolstr.2023.112642
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2024 | Journal Article | LibreCat-ID: 52233
Mahnken, R., & Westermann, H. (2024). Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods. Computational Mechanics. https://doi.org/10.1007/s00466-024-02442-y
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2023 | Journal Article | LibreCat-ID: 42165
Penner, E., Caylak, I., & Mahnken, R. (2023). Experimental Investigations of Carbon Fiber Reinforced Polymer Composites and Their Constituents to Determine Their Elastic Material Properties and Complementary Inhomogeneous Experiments with Local Strain Considerations. Fibers and Polymers. https://doi.org/10.1007/s12221-023-00122-x
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2023 | Journal Article | LibreCat-ID: 43095
Lenz, P., & Mahnken, R. (2023). Non-local integral-type damage combined to mean-field homogenization methods for composites and its parallel implementation. Composite Structures, Article 116911. https://doi.org/10.1016/j.compstruct.2023.116911
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2023 | Journal Article | LibreCat-ID: 44888
Lenz, P., & Mahnken, R. (2023). Thermo‐chemo‐mechanical modelling of a curing process combined with mean‐field homogenization methods at large strains. PAMM, 22(1). https://doi.org/10.1002/pamm.202200214
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2023 | Preprint | LibreCat-ID: 44887
Cheng, C., Song, C., Mahnken, R., Yuan, Z., Yu, L., & Ju, X. (2023). A Non-Linear Mean-Field Debonding Model at Large Strains for the Analysis of Fibre Kinking in Ud Composites. Elsevier BV.
LibreCat
2023 | Journal Article | LibreCat-ID: 44891
Westermann, H., & Mahnken, R. (2023). A thermodynamic framework for the phase‐field approach considering carbide precipitation during phase transformations. PAMM, 22(1). https://doi.org/10.1002/pamm.202200080
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2023 | Journal Article | LibreCat-ID: 44892
Hamdoun, A., & Mahnken, R. (2023). A finite strain gradient theory for viscoplasticity by means of micromorphic regularization. PAMM, 22(1). https://doi.org/10.1002/pamm.202200074
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2023 | Journal Article | LibreCat-ID: 44890
Tchomgue Simeu, A., & Mahnken, R. (2023). Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field homogenization methods in elasto‐plasticity. PAMM, 22(1). https://doi.org/10.1002/pamm.202200053
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2023 | Journal Article | LibreCat-ID: 45757
Mahnken, R. (2023). 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. https://doi.org/10.1007/s00466-023-02347-2
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2023 | Conference Paper | LibreCat-ID: 46762
Tchomgue Simeu, A., & Mahnken, R. (2023). Mesh- and model adaptivity for elasto-plastic mean-field and full-field homogenization based on downwind and upwind approximations. XI International Conference on Adaptive Modeling and Simulation. https://doi.org/10.23967/admos.2023.054
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2023 | Journal Article | LibreCat-ID: 48464
Westermann, H., & Mahnken, R. (2023). Numerical investigations of new low‐order explicit last stage diagonal implicit Runge–Kutta schemes with the finite‐element method. PAMM, 23(2). https://doi.org/10.1002/pamm.202300071
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2023 | Journal Article | LibreCat-ID: 48465
Westermann, H., & Mahnken, R. (2023). 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, 418, Article 116545. https://doi.org/10.1016/j.cma.2023.116545
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2023 | Journal Article | LibreCat-ID: 48673
Lenz, P., Kreutzheide, P., & Mahnken, R. (2023). Multiphase elasto-plastic mean-field homogenisation and its consistent linearisation. Computers & Structures, 290, Article 107160. https://doi.org/10.1016/j.compstruc.2023.107160
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2023 | Journal Article | LibreCat-ID: 49866
Tchomgue Simeu, A., & Mahnken, R. (2023). Downwind and upwind approximations for mesh and model adaptivity of elasto‐plastic composites. PAMM. https://doi.org/10.1002/pamm.202300136
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2023 | Journal Article | LibreCat-ID: 52219
Börger, A., & Mahnken, R. (2023). A micropolar model accounting for asymmetric behavior of cold‐box sand in relation to tensile and compression tests. PAMM. https://doi.org/10.1002/pamm.202300126
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2023 | Dissertation | LibreCat-ID: 52649
Penner, E. (2023). Polymorphic uncertainty in constitutive modeling of polymer composites at different scales. Shaker Verlag. https://doi.org/10.2370/9783844093322
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2022 | Journal Article | LibreCat-ID: 31185
Ju, X., Mahnken, R., Xu, Y., Liang, L., Cheng, C., & Zhou, W. (2022). Multiscale analysis of composite structures with goal-oriented mesh adaptivity and reduced order homogenization. Composite Structures, Article 115699. https://doi.org/10.1016/j.compstruct.2022.115699
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2022 | Journal Article | LibreCat-ID: 30656
Mahnken, R. (2022). Strain mode-dependent weighting functions in hyperelasticity accounting for verification, validation, and stability of material parameters. Archive of Applied Mechanics, 92(3), 713–754. https://doi.org/10.1007/s00419-021-02069-y
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2022 | Journal Article | LibreCat-ID: 30655
Ju, X., Mahnken, R., Xu, Y., & Liang, L. (2022). Goal-oriented error estimation and h-adaptive finite elements for hyperelastic micromorphic continua. Computational Mechanics, 69(3), 847–863. https://doi.org/10.1007/s00466-021-02117-y
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2022 | Journal Article | LibreCat-ID: 30657
Henkes, A., Wessels, H., & Mahnken, R. (2022). Physics informed neural networks for continuum micromechanics. Computer Methods in Applied Mechanics and Engineering, 393, Article 114790. https://doi.org/10.1016/j.cma.2022.114790
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2022 | Journal Article | LibreCat-ID: 34074
Mahnken, R., & Mirzapour, J. (2022). A statistically based strain energy function for polymer chains in rubber elasticity. Archive of Applied Mechanics, 92(11), 3295–3323. https://doi.org/10.1007/s00419-022-02237-8
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2022 | Journal Article | LibreCat-ID: 41485
Clemens, R., Barth, E., Uhlmann, E., Zhan, Y., Caylak, I., & Mahnken, R. (2022). Effects on Process Forces of Individual Milling Tool Edges Depending on the Cutting Angle and Cutting Speed When Milling Cfrp. SSRN Electronic Journal. https://doi.org/10.2139/ssrn.4259246
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2022 | Journal Article | LibreCat-ID: 32592
Ju, X., Mahnken, R., Xu, Y., & Liang, L. (2022). NTFA-enabled goal-oriented adaptive space–time finite elements for micro-heterogeneous elastoplasticity problems. Computer Methods in Applied Mechanics and Engineering, 398, Article 115199. https://doi.org/10.1016/j.cma.2022.115199
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2022 | Journal Article | LibreCat-ID: 34075
Penner, E., Caylak, I., & Mahnken, R. (2022). A polymorphic uncertainty model for the curing process of transversely fiber-reinforced plastics. Mathematics and Mechanics of Complex Systems, 10(1), 21–50. https://doi.org/10.2140/memocs.2022.10.21
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2022 | Journal Article | LibreCat-ID: 33801
Mahnken, R. (2022). 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, 401, Article 115553. https://doi.org/10.1016/j.cma.2022.115553
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2022 | Journal Article | LibreCat-ID: 23794 | 
Westermann, H., Reitz, A., Mahnken, R., Schaper, M., & Grydin, O. (2022). Microstructure transformations in a press hardening steel during tailored thermo‐mechanical processing. Steel Research International. https://doi.org/10.1002/srin.202100346
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| Download (ext.)
2021 | Book Chapter | LibreCat-ID: 29086
Drossel, W.-G., Bobbert, M., Böhme, M., Dammann, C., Dittes, A., Gießmann, M., Hühne, C., Ihlemann, J., Kießling, R., Lampke, T., Lenz, P., Mahnken, R., Meschut, G., Müller, R., Nier, M., Prussak, R., Riemer, M., Sander, S., Schaper, M., … Zinn, C. (2021). Hybridprofile für Trag- und Crashstrukturen. In Intrinsische Hybridverbunde für Leichtbautragstrukturen. https://doi.org/10.1007/978-3-662-62833-1_3
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2021 | Journal Article | LibreCat-ID: 29089
Westermann, H., Reitz, A., Mahnken, R., Grydin, O., & Schaper, M. (2021). Constitutive modeling of viscoplasticity including phase transformations for graded thermo‐mechanical processing. PAMM. https://doi.org/10.1002/pamm.202100041
LibreCat
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2021 | Journal Article | LibreCat-ID: 21708
Lenz, P., & Mahnken, R. (2021). Damage simulation of thermo‐chemo‐elasto‐plastic fibre reinforced composites using mean‐field homogenization methods. PAMM. https://doi.org/10.1002/pamm.202000265
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2021 | Journal Article | LibreCat-ID: 24392
Penner, E., Caylak, I., & Mahnken, R. (2021). An uncertainty model for the curing process of transversely fiber reinforced plastics. PAMM. https://doi.org/10.1002/pamm.202000178
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2021 | Journal Article | LibreCat-ID: 24384
Westermann, H., & Mahnken, R. (2021). Constitutive modeling of dynamic recrystallization coupled to viscoplasticity. PAMM. https://doi.org/10.1002/pamm.202000186
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2021 | Journal Article | LibreCat-ID: 24397
Henkes, A., Caylak, I., & Mahnken, R. (2021). A deep learning driven uncertain full‐field homogenization method. PAMM. https://doi.org/10.1002/pamm.202000180
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2021 | Journal Article | LibreCat-ID: 24390
Mahnken, R., & Westermann, H. (2021). A non-equilibrium thermodynamic framework for viscoplasticity incorporating dynamic recrystallization at large strains. International Journal of Plasticity, Article 102988. https://doi.org/10.1016/j.ijplas.2021.102988
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2021 | Journal Article | LibreCat-ID: 21681
Penner, E., Caylak, I., Mahnken, R., & Dridger, A. (2021). Fuzzy and stochastic approach applied to rubber like materials. Safety and Reliability, 1–19. https://doi.org/10.1080/09617353.2020.1858678
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2021 | Conference Paper | LibreCat-ID: 24388
Westermann, H., & Mahnken, R. (2021). On the Thermodynamics of Dynamic Recrystallization for Viscoplasticity at Large Strains. 14th WCCM-ECCOMAS Congress. https://doi.org/10.23967/wccm-eccomas.2020.261
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2021 | Journal Article | LibreCat-ID: 23431
Cheng, C., Wang, Z., Jin, Z., Ju, X., Schweizer, S., Tröster, T., & Mahnken, R. (2021). 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, 224, Article 109209. https://doi.org/10.1016/j.compositesb.2021.109209
LibreCat
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2021 | Journal Article | LibreCat-ID: 27774
Lenz, P., & Mahnken, R. (2021). 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, Article 111266. https://doi.org/10.1016/j.ijsolstr.2021.111266
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2021 | Journal Article | LibreCat-ID: 29088
Ju, X., Mahnken, R., Xu, Y., Liang, L., & Zhou, W. (2021). A nonuniform transformation field analysis for composites with strength difference effects in elastoplasticity. International Journal of Solids and Structures, Article 111103. https://doi.org/10.1016/j.ijsolstr.2021.111103
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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
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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
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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
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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
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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
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2019 | Journal Article | LibreCat-ID: 19297
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
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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
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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
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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
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