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272 Publications
2023 | Journal Article | LibreCat-ID: 54282
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
LibreCat
| DOI
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
LibreCat
| DOI
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
LibreCat
| DOI
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
LibreCat
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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
LibreCat
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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
LibreCat
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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
LibreCat
| DOI
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
LibreCat
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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
LibreCat
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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
LibreCat
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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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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
LibreCat
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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
| DOI
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
LibreCat
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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
LibreCat
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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
LibreCat
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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
LibreCat
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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
LibreCat
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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
LibreCat
| DOI
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
LibreCat
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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
| DOI
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
LibreCat
| DOI
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
LibreCat
| DOI
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
| DOI
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
| DOI
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
| DOI
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
LibreCat
| DOI
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
LibreCat
| DOI
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
| DOI
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
| DOI
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
LibreCat
| DOI
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
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 13805
Mahnken, R., & Ju, X. (2019). Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field homogenization methods in linear elasticity. International Journal for Numerical Methods in Engineering. https://doi.org/10.1002/nme.6209
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 13806
Dammann, C., & Mahnken, R. (2019). Simulation of a resin transfer molding process using a phase field approach within the theory of porous media. Composites Part A: Applied Science and Manufacturing, 120, 147–160. https://doi.org/10.1016/j.compositesa.2019.02.022
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 13807
Ju, X., & Mahnken, R. (n.d.). “Goal-oriented adaptivity on mean-field and full-field homogenization methods considering hierarchical unit cells.” PAMM, 19.
LibreCat
2019 | Journal Article | LibreCat-ID: 13813
Lenz, P., & Mahnken, R. (2019). “Damage simulation of fiber reinforced composites using mean-field homogenization methods” . PAMM, 19.
LibreCat
2019 | Journal Article | LibreCat-ID: 19300
Mäck, M., Caylak, I., Edler, P., Freitag, S., Hanss, M., Mahnken, R., Meschke, G., & Penner, E. (2019). Optimization with constraints considering polymorphic uncertainties. GAMM-Mitteilungen, Article e201900005. https://doi.org/10.1002/gamm.201900005
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 19122
Penner, E., Caylak, I., Dridger, A., & Mahnken, R. (2019). A polynomial chaos expanded hybrid fuzzy-stochastic model for transversely fiber reinforced plastics. Mathematics and Mechanics of Complex Systems, 99–129. https://doi.org/10.2140/memocs.2019.7.99
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 19120
Caylak, I., Penner, E., & Mahnken, R. (2019). A fuzzy uncertainty model for analytical and numerical homogenization of transversely fiber reinforced plastics. PAMM. https://doi.org/10.1002/pamm.201900356
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 24429
Ju, X., & Mahnken, R. (2019). Model adaptivity on mean‐field and full‐field homogenization methods considering hierarchical unit cells. PAMM. https://doi.org/10.1002/pamm.201900177
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 19424
Lenz, P., & Mahnken, R. (2019). Damage simulation of fiber reinforced composites using mean‐field homogenization methods. PAMM. https://doi.org/10.1002/pamm.201900370
LibreCat
| DOI
2019 | Book | LibreCat-ID: 19326
Mahnken, R. (2019). Lehrbuch der Technischen Mechanik - Band 2: Elastostatik. https://doi.org/10.1007/978-3-662-58166-7
LibreCat
| DOI
2019 | Dissertation | LibreCat-ID: 42187
Widany, K.-U. (2019). Adaptive Finite Element Methods for Direct and Inverse Problems in Nonlinear Solid Mechanics. Shaker.
LibreCat
2019 | Dissertation | LibreCat-ID: 42190
Damman, C. (2019). Experimental Characterization and Constitutive Modeling of Reinforced Thermoplastic and Thermosetting Polymers. Shaker.
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2019 | Dissertation | LibreCat-ID: 42191
Ju, X. (2019). Adaptive Methods in the Mechanics of Heterogeneous Materials.
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2019 | Dissertation | LibreCat-ID: 42188
Cheng, C. (2019). A multi-mechanism model for cutting simulations combining asymmetric effects and gradient phase transformations.
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2018 | Journal Article | LibreCat-ID: 9899
Düsing, M., & Mahnken, R. (2018). „A coupled phase field/diffusion model for upper and lower bainitic transformation”. International Journal of Solids and Structures, 135, 172–183.
LibreCat
2018 | Journal Article | LibreCat-ID: 9933
Mahnken, R., Lenz, P., & Dammann, C. (2018). “A least squares approach for effective shear properties in an n-layered sphere model.” Archive of Applied Mechanics, 2081–2099. https://doi.org/10.1007/s00419-018-1431-5
LibreCat
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2018 | Journal Article | LibreCat-ID: 9934
Dammann, C., Caylak, I., & Mahnken, R. (2018). “Sequential biaxial stretching of polycarbonate-films for characterization of strain-induced anisotropy.” GAMM-Mitteilungen. https://doi.org/10.1002/gamm.201800003
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