Widany, K.-U. (2019). Adaptive Finite Element Methods for Direct and Inverse Problems in Nonlinear Solid Mechanics. Shaker.
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Damman, C. (2019). Experimental Characterization and Constitutive Modeling of Reinforced Thermoplastic and Thermosetting Polymers. Shaker.
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Ju, X. (2019). Adaptive Methods in the Mechanics of Heterogeneous Materials.
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Cheng, C. (2019). A multi-mechanism model for cutting simulations combining asymmetric effects and gradient phase transformations.
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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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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.,https://doi.org/10.1007/978-3-662-62833-1_3__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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Westermann, H., Reitz, A., Mahnken, R., Grydin, O., &; Schaper, M. (2021). Constitutive modeling of viscoplasticity including phase transformations for graded thermomechanical processing. PAMM.https://doi.org/10.1002/pamm.202100041 
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Lenz, P., &; Mahnken, R. (2021). Damage simulation of thermochemoelastoplastic fibre reinforced composites using meanfield homogenization methods. PAMM.https://doi.org/10.1002/pamm.202000265 
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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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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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Henkes, A., Caylak, I., &; Mahnken, R. (2021). A deep learning driven uncertain fullfield homogenization method. PAMM.https://doi.org/10.1002/pamm.202000180 
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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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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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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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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 
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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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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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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 
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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 
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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 
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Lenz, P., &; Mahnken, R. (2021). Integraltype nonlocal damage simulation of composites using meanfield homogenization methods. PAMM.https://doi.org/10.1002/pamm.202100081 
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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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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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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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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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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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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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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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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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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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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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Westermann, H., Reitz, A., Mahnken, R., Schaper, M., &; Grydin, O. (2022). Microstructure transformations in a press hardening steel during tailored thermomechanical processing. Steel Research International.https://doi.org/10.1002/srin.202100346 
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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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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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Lenz, P., &; Mahnken, R. (2023). Thermochemomechanical modelling of a curing process combined with meanfield homogenization methods at large strains. PAMM, 22(1).https://doi.org/10.1002/pamm.202200214 
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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.
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Westermann, H., &; Mahnken, R. (2023). A thermodynamic framework for the phasefield approach considering carbide precipitation during phase transformations. PAMM, 22(1).https://doi.org/10.1002/pamm.202200080 
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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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Tchomgue Simeu, A., &; Mahnken, R. (2023). Goaloriented adaptivity based on a model hierarchy of meanfield and fullfield homogenization methods in elastoplasticity. PAMM, 22(1).https://doi.org/10.1002/pamm.202200053 
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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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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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DOI: 10.23967/admos.2023.054

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

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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Lenz, P., Kreutzheide, P., &; Mahnken, R. (2023). Multiphase elasto-plastic mean-field homogenisation and its consistent linearisation. Computers &;amp; Structures, 290, Article 107160.https://doi.org/10.1016/j.compstruc.2023.107160 
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Tchomgue Simeu, A., &; Mahnken, R. (2023). Downwind and upwind approximations for mesh and model adaptivity of elastoplastic composites. PAMM.https://doi.org/10.1002/pamm.202300136 
LibreCat: /record/49866
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Börger, A., &; Mahnken, R. (2023). A micropolar model accounting for asymmetric behavior of coldbox sand in relation to tensile and compression tests. PAMM.https://doi.org/10.1002/pamm.202300126 
LibreCat: /record/52219
DOI: 10.1002/pamm.202300126

Penner, E. (2023). Polymorphic uncertainty in constitutive modeling of polymer composites at different scales. Shaker Verlag.https://doi.org/10.2370/9783844093322 
LibreCat: /record/52649
DOI: 10.2370/9783844093322

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

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 
LibreCat: /record/52218
DOI: 10.1016/j.ijsolstr.2023.112642

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 
LibreCat: /record/52233
DOI: 10.1007/s00466-024-02442-y

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

Hamdoun, A., &; Mahnken, R. (2024). Uniaxial and biaxial experimental investigation of glassy polymers. Polymer, 299, Article 126981.https://doi.org/10.1016/j.polymer.2024.126981 
LibreCat: /record/54279
DOI: 10.1016/j.polymer.2024.126981