Widany K-U. Adaptive Finite Element Methods for Direct and Inverse Problems in Nonlinear Solid Mechanics. Shaker; 2019.
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Damman C. Experimental Characterization and Constitutive Modeling of Reinforced Thermoplastic and Thermosetting Polymers. Shaker; 2019.
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Ju X. Adaptive Methods in the Mechanics of Heterogeneous Materials.; 2019.
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Cheng C. A Multi-Mechanism Model for Cutting Simulations Combining Asymmetric Effects and Gradient Phase Transformations.; 2019.
LibreCat: /record/42188

Caylak I, Penner E, Mahnken R. Mean-field and full-field homogenization with polymorphic uncertain geometry and material parameters. Computer Methods in Applied Mechanics and Engineering. Published online 2020. doi:10.1016/j.cma.2020.113439
LibreCat: /record/24374
DOI: 10.1016/j.cma.2020.113439

Drossel W-G, Bobbert M, Böhme M, et al. Hybridprofile für Trag- und Crashstrukturen. In: Intrinsische Hybridverbunde Für Leichtbautragstrukturen. ; 2021. doi:10.1007/978-3-662-62833-1_3
LibreCat: /record/29086
DOI: 10.1007/978-3-662-62833-1_3

Westermann H, Reitz A, Mahnken R, Grydin O, Schaper M. Constitutive modeling of viscoplasticity including phase transformations for graded thermomechanical processing. PAMM. Published online 2021. doi:10.1002/pamm.202100041
LibreCat: /record/29089
DOI: 10.1002/pamm.202100041

Lenz P, Mahnken R. Damage simulation of thermochemoelastoplastic fibre reinforced composites using meanfield homogenization methods. PAMM. Published online 2021. doi:10.1002/pamm.202000265
LibreCat: /record/21708
DOI: 10.1002/pamm.202000265

Penner E, Caylak I, Mahnken R. An uncertainty model for the curing process of transversely fiber reinforced plastics. PAMM. Published online 2021. doi:10.1002/pamm.202000178
LibreCat: /record/24392
DOI: 10.1002/pamm.202000178

Westermann H, Mahnken R. Constitutive modeling of dynamic recrystallization coupled to viscoplasticity. PAMM. Published online 2021. doi:10.1002/pamm.202000186
LibreCat: /record/24384
DOI: 10.1002/pamm.202000186

Henkes A, Caylak I, Mahnken R. A deep learning driven uncertain fullfield homogenization method. PAMM. Published online 2021. doi:10.1002/pamm.202000180
LibreCat: /record/24397
DOI: 10.1002/pamm.202000180

Mahnken R, Westermann H. A non-equilibrium thermodynamic framework for viscoplasticity incorporating dynamic recrystallization at large strains. International Journal of Plasticity. Published online 2021. doi:10.1016/j.ijplas.2021.102988
LibreCat: /record/24390
DOI: 10.1016/j.ijplas.2021.102988

Penner E, Caylak I, Mahnken R, Dridger A. Fuzzy and stochastic approach applied to rubber like materials. Safety and Reliability. Published online 2021:1-19. doi:10.1080/09617353.2020.1858678
LibreCat: /record/21681
DOI: 10.1080/09617353.2020.1858678

Westermann H, Mahnken R. On the Thermodynamics of Dynamic Recrystallization for Viscoplasticity at Large Strains. In: 14th WCCM-ECCOMAS Congress. ; 2021. doi:10.23967/wccm-eccomas.2020.261
LibreCat: /record/24388
DOI: 10.23967/wccm-eccomas.2020.261

Cheng C, Wang Z, Jin Z, 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. 2021;224. doi:10.1016/j.compositesb.2021.109209
LibreCat: /record/23431
DOI: 10.1016/j.compositesb.2021.109209

Lenz P, Mahnken R. 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. Published online 2021. doi:10.1016/j.ijsolstr.2021.111266
LibreCat: /record/27774
DOI: 10.1016/j.ijsolstr.2021.111266

Ju X, Mahnken R, Xu Y, Liang L, Zhou W. A nonuniform transformation field analysis for composites with strength difference effects in elastoplasticity. International Journal of Solids and Structures. Published online 2021. doi:10.1016/j.ijsolstr.2021.111103
LibreCat: /record/29088
DOI: 10.1016/j.ijsolstr.2021.111103

Henkes A, Caylak I, Mahnken R. A deep learning driven pseudospectral PCE based FFT homogenization algorithm for complex microstructures. Computer Methods in Applied Mechanics and Engineering. Published online 2021. doi:10.1016/j.cma.2021.114070
LibreCat: /record/24376
DOI: 10.1016/j.cma.2021.114070

Cheng C, Mahnken R. A modified Zerilli–Armstrong model as the asymmetric visco-plastic part of a multi-mechanism model for cutting simulations. Archive of Applied Mechanics. Published online 2021:3869-3888. doi:10.1007/s00419-021-01982-6
LibreCat: /record/29085
DOI: 10.1007/s00419-021-01982-6

Ju X, Mahnken R, Liang L, Xu Y. Goal-oriented mesh adaptivity for inverse problems in linear micromorphic elasticity. Computers &; Structures. Published online 2021. doi:10.1016/j.compstruc.2021.106671
LibreCat: /record/29092
DOI: 10.1016/j.compstruc.2021.106671

Lenz P, Mahnken R. Integraltype nonlocal damage simulation of composites using meanfield homogenization methods. PAMM. Published online 2021. doi:10.1002/pamm.202100081
LibreCat: /record/29090
DOI: 10.1002/pamm.202100081

Henkes A, Wessels H, Mahnken R. Physics informed neural networks for continuum micromechanics. PAMM. Published online 2021. doi:10.1002/pamm.202100040
LibreCat: /record/29091
DOI: 10.1002/pamm.202100040

Ju X, Mahnken R, Xu Y, Liang L, Cheng C, Zhou W. Multiscale analysis of composite structures with goal-oriented mesh adaptivity and reduced order homogenization. Composite Structures. Published online 2022. doi:10.1016/j.compstruct.2022.115699
LibreCat: /record/31185
DOI: 10.1016/j.compstruct.2022.115699

Mahnken R. Strain mode-dependent weighting functions in hyperelasticity accounting for verification, validation, and stability of material parameters. Archive of Applied Mechanics. 2022;92(3):713-754. doi:10.1007/s00419-021-02069-y
LibreCat: /record/30656
DOI: 10.1007/s00419-021-02069-y

Ju X, Mahnken R, Xu Y, Liang L. Goal-oriented error estimation and h-adaptive finite elements for hyperelastic micromorphic continua. Computational Mechanics. 2022;69(3):847-863. doi:10.1007/s00466-021-02117-y
LibreCat: /record/30655
DOI: 10.1007/s00466-021-02117-y

Henkes A, Wessels H, Mahnken R. Physics informed neural networks for continuum micromechanics. Computer Methods in Applied Mechanics and Engineering. 2022;393. doi:10.1016/j.cma.2022.114790
LibreCat: /record/30657
DOI: 10.1016/j.cma.2022.114790

Mahnken R, Mirzapour J. A statistically based strain energy function for polymer chains in rubber elasticity. Archive of Applied Mechanics. 2022;92(11):3295-3323. doi:10.1007/s00419-022-02237-8
LibreCat: /record/34074
DOI: 10.1007/s00419-022-02237-8

Clemens R, Barth E, Uhlmann E, Zhan Y, Caylak I, Mahnken R. Effects on Process Forces of Individual Milling Tool Edges Depending on the Cutting Angle and Cutting Speed When Milling Cfrp. SSRN Electronic Journal. Published online 2022. doi:10.2139/ssrn.4259246
LibreCat: /record/41485
DOI: 10.2139/ssrn.4259246

Ju X, Mahnken R, Xu Y, Liang L. NTFA-enabled goal-oriented adaptive space–time finite elements for micro-heterogeneous elastoplasticity problems. Computer Methods in Applied Mechanics and Engineering. 2022;398. doi:10.1016/j.cma.2022.115199
LibreCat: /record/32592
DOI: 10.1016/j.cma.2022.115199

Penner E, Caylak I, Mahnken R. A polymorphic uncertainty model for the curing process of transversely fiber-reinforced plastics. Mathematics and Mechanics of Complex Systems. 2022;10(1):21-50. doi:10.2140/memocs.2022.10.21
LibreCat: /record/34075
DOI: 10.2140/memocs.2022.10.21

Mahnken R. 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. 2022;401. doi:10.1016/j.cma.2022.115553
LibreCat: /record/33801
DOI: 10.1016/j.cma.2022.115553

Westermann H, Reitz A, Mahnken R, Schaper M, Grydin O. Microstructure transformations in a press hardening steel during tailored thermomechanical processing. steel research international. Published online 2022. doi:10.1002/srin.202100346
LibreCat: /record/23794
DOI: 10.1002/srin.202100346

Penner E, Caylak I, Mahnken R. 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. Published online 2023. doi:10.1007/s12221-023-00122-x
LibreCat: /record/42165
DOI: 10.1007/s12221-023-00122-x

Lenz P, Mahnken R. Non-local integral-type damage combined to mean-field homogenization methods for composites and its parallel implementation. Composite Structures. Published online 2023. doi:10.1016/j.compstruct.2023.116911
LibreCat: /record/43095
DOI: 10.1016/j.compstruct.2023.116911

Lenz P, Mahnken R. Thermochemomechanical modelling of a curing process combined with meanfield homogenization methods at large strains. PAMM. 2023;22(1). doi:10.1002/pamm.202200214
LibreCat: /record/44888
DOI: 10.1002/pamm.202200214

Cheng C, Song C, Mahnken R, Yuan Z, Yu L, Ju X. A Non-Linear Mean-Field Debonding Model at Large Strains for the Analysis of Fibre Kinking in Ud Composites. Published online 2023.
LibreCat: /record/44887

Westermann H, Mahnken R. A thermodynamic framework for the phasefield approach considering carbide precipitation during phase transformations. PAMM. 2023;22(1). doi:10.1002/pamm.202200080
LibreCat: /record/44891
DOI: 10.1002/pamm.202200080

Hamdoun A, Mahnken R. A finite strain gradient theory for viscoplasticity by means of micromorphic regularization. PAMM. 2023;22(1). doi:10.1002/pamm.202200074
LibreCat: /record/44892
DOI: 10.1002/pamm.202200074

Tchomgue Simeu A, Mahnken R. Goaloriented adaptivity based on a model hierarchy of meanfield and fullfield homogenization methods in elastoplasticity. PAMM. 2023;22(1). doi:10.1002/pamm.202200053
LibreCat: /record/44890
DOI: 10.1002/pamm.202200053

Mahnken R. 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. Published online 2023. doi:10.1007/s00466-023-02347-2
LibreCat: /record/45757
DOI: 10.1007/s00466-023-02347-2

Tchomgue Simeu A, Mahnken R. Mesh- and model adaptivity for elasto-plastic mean-field and full-field homogenization based on downwind  and upwind approximations. In: XI International Conference on Adaptive Modeling and Simulation. CIMNE; 2023. doi:10.23967/admos.2023.054
LibreCat: /record/46762
DOI: 10.23967/admos.2023.054

Westermann H, Mahnken R. Numerical investigations of new loworder explicit last stage diagonal implicit Runge–Kutta schemes with the finiteelement method. PAMM. 2023;23(2). doi:10.1002/pamm.202300071
LibreCat: /record/48464
DOI: 10.1002/pamm.202300071

Westermann H, Mahnken R. 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. 2023;418. doi:10.1016/j.cma.2023.116545
LibreCat: /record/48465
DOI: 10.1016/j.cma.2023.116545

Lenz P, Kreutzheide P, Mahnken R. Multiphase elasto-plastic mean-field homogenisation and its consistent linearisation. Computers &;amp; Structures. 2023;290. doi:10.1016/j.compstruc.2023.107160
LibreCat: /record/48673
DOI: 10.1016/j.compstruc.2023.107160

Tchomgue Simeu A, Mahnken R. Downwind and upwind approximations for mesh and model adaptivity of elastoplastic composites. PAMM. Published online 2023. doi:10.1002/pamm.202300136
LibreCat: /record/49866
DOI: 10.1002/pamm.202300136

Börger A, Mahnken R. A micropolar model accounting for asymmetric behavior of coldbox sand in relation to tensile and compression tests. PAMM. Published online 2023. doi:10.1002/pamm.202300126
LibreCat: /record/52219
DOI: 10.1002/pamm.202300126

Penner E. Polymorphic Uncertainty in Constitutive Modeling of Polymer Composites at Different Scales. Shaker Verlag; 2023. doi:10.2370/9783844093322
LibreCat: /record/52649
DOI: 10.2370/9783844093322

Hamdoun A, Mahnken R. Experimental investigations of uniaxial and biaxial cold stretching within PCfilms and bars using optical measurements. PAMM. Published online 2024. doi:10.1002/pamm.202300114
LibreCat: /record/52217
DOI: 10.1002/pamm.202300114

Lenz P, Mahnken R. Multiscale simulation of polymer curing of composites combined mean-field homogenisation methods at large strains. International Journal of Solids and Structures. 2024;290. doi:10.1016/j.ijsolstr.2023.112642
LibreCat: /record/52218
DOI: 10.1016/j.ijsolstr.2023.112642

Mahnken R, Westermann H. Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods. Computational Mechanics. Published online 2024. doi:10.1007/s00466-024-02442-y
LibreCat: /record/52233
DOI: 10.1007/s00466-024-02442-y

Hamdoun A, Mahnken R. A large deformation gradient theory for glassy polymers by means of micromorphic regularization. Archive of Applied Mechanics. 2024;94(5):1221-1242. doi:10.1007/s00419-024-02570-0
LibreCat: /record/54280
DOI: 10.1007/s00419-024-02570-0

Hamdoun A, Mahnken R. Uniaxial and biaxial experimental investigation of glassy polymers. Polymer. 2024;299. doi:10.1016/j.polymer.2024.126981
LibreCat: /record/54279
DOI: 10.1016/j.polymer.2024.126981