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269 Publications
2024 | Journal Article | LibreCat-ID: 52217
Experimental investigations of uniaxial and biaxial cold stretching within PC‐films and bars using optical measurements
A. Hamdoun, R. Mahnken, PAMM (2024).
LibreCat
| DOI
A. Hamdoun, R. Mahnken, PAMM (2024).
2024 | Journal Article | LibreCat-ID: 52218
Multiscale simulation of polymer curing of composites combined mean-field homogenisation methods at large strains
P. Lenz, R. Mahnken, International Journal of Solids and Structures 290 (2024).
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| DOI
P. Lenz, R. Mahnken, International Journal of Solids and Structures 290 (2024).
2024 | Journal Article | LibreCat-ID: 52233
Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods
R. Mahnken, H. Westermann, Computational Mechanics (2024).
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| DOI
R. Mahnken, H. Westermann, Computational Mechanics (2024).
2023 | Journal Article | LibreCat-ID: 42165
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
E. Penner, I. Caylak, R. Mahnken, Fibers and Polymers (2023).
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| DOI
E. Penner, I. Caylak, R. Mahnken, Fibers and Polymers (2023).
2023 | Journal Article | LibreCat-ID: 43095
Non-local integral-type damage combined to mean-field homogenization methods for composites and its parallel implementation
P. Lenz, R. Mahnken, Composite Structures (2023).
LibreCat
| DOI
P. Lenz, R. Mahnken, Composite Structures (2023).
2023 | Journal Article | LibreCat-ID: 44888
Thermo‐chemo‐mechanical modelling of a curing process combined with mean‐field homogenization methods at large strains
P. Lenz, R. Mahnken, PAMM 22 (2023).
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| DOI
P. Lenz, R. Mahnken, PAMM 22 (2023).
2023 | Preprint | LibreCat-ID: 44887
A Non-Linear Mean-Field Debonding Model at Large Strains for the Analysis of Fibre Kinking in Ud Composites
C. Cheng, C. Song, R. Mahnken, Z. Yuan, L. Yu, X. Ju, (2023).
LibreCat
C. Cheng, C. Song, R. Mahnken, Z. Yuan, L. Yu, X. Ju, (2023).
2023 | Journal Article | LibreCat-ID: 44891
A thermodynamic framework for the phase‐field approach considering carbide precipitation during phase transformations
H. Westermann, R. Mahnken, PAMM 22 (2023).
LibreCat
| DOI
H. Westermann, R. Mahnken, PAMM 22 (2023).
2023 | Journal Article | LibreCat-ID: 44892
A finite strain gradient theory for viscoplasticity by means of micromorphic regularization
A. Hamdoun, R. Mahnken, PAMM 22 (2023).
LibreCat
| DOI
A. Hamdoun, R. Mahnken, PAMM 22 (2023).
2023 | Journal Article | LibreCat-ID: 44890
Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field homogenization methods in elasto‐plasticity
A. Tchomgue Simeu, R. Mahnken, PAMM 22 (2023).
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| DOI
A. Tchomgue Simeu, R. Mahnken, PAMM 22 (2023).
2023 | Journal Article | LibreCat-ID: 45757
Derivation of third order Runge–Kutta methods (ELDIRK) by embedding of lower order implicit time integration schemes for local and global error estimation
R. Mahnken, Computational Mechanics (2023).
LibreCat
| DOI
R. Mahnken, Computational Mechanics (2023).
2023 | Conference Paper | LibreCat-ID: 46762
Mesh- and model adaptivity for elasto-plastic mean-field and full-field homogenization based on downwind and upwind approximations
A. Tchomgue Simeu, R. Mahnken, in: XI International Conference on Adaptive Modeling and Simulation, CIMNE, 2023.
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| DOI
A. Tchomgue Simeu, R. Mahnken, in: XI International Conference on Adaptive Modeling and Simulation, CIMNE, 2023.
2023 | Journal Article | LibreCat-ID: 48464
Numerical investigations of new low‐order explicit last stage diagonal implicit Runge–Kutta schemes with the finite‐element method
H. Westermann, R. Mahnken, PAMM 23 (2023).
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| DOI
H. Westermann, R. Mahnken, PAMM 23 (2023).
2023 | Journal Article | LibreCat-ID: 48465
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
H. Westermann, R. Mahnken, Computer Methods in Applied Mechanics and Engineering 418 (2023).
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| DOI
H. Westermann, R. Mahnken, Computer Methods in Applied Mechanics and Engineering 418 (2023).
2023 | Journal Article | LibreCat-ID: 48673
Multiphase elasto-plastic mean-field homogenisation and its consistent linearisation
P. Lenz, P. Kreutzheide, R. Mahnken, Computers & Structures 290 (2023).
LibreCat
| DOI
P. Lenz, P. Kreutzheide, R. Mahnken, Computers & Structures 290 (2023).
2023 | Journal Article | LibreCat-ID: 49866
Downwind and upwind approximations for mesh and model adaptivity of elasto‐plastic composites
A. Tchomgue Simeu, R. Mahnken, PAMM (2023).
LibreCat
| DOI
A. Tchomgue Simeu, R. Mahnken, PAMM (2023).
2023 | Journal Article | LibreCat-ID: 52219
A micropolar model accounting for asymmetric behavior of cold‐box sand in relation to tensile and compression tests
A. Börger, R. Mahnken, PAMM (2023).
LibreCat
| DOI
A. Börger, R. Mahnken, PAMM (2023).
2023 | Dissertation | LibreCat-ID: 52649
Polymorphic uncertainty in constitutive modeling of polymer composites at different scales
E. Penner, Polymorphic Uncertainty in Constitutive Modeling of Polymer Composites at Different Scales, Shaker Verlag, 2023.
LibreCat
| DOI
E. Penner, Polymorphic Uncertainty in Constitutive Modeling of Polymer Composites at Different Scales, Shaker Verlag, 2023.
2022 | Journal Article | LibreCat-ID: 31185
Multiscale analysis of composite structures with goal-oriented mesh adaptivity and reduced order homogenization
X. Ju, R. Mahnken, Y. Xu, L. Liang, C. Cheng, W. Zhou, Composite Structures (2022).
LibreCat
| DOI
X. Ju, R. Mahnken, Y. Xu, L. Liang, C. Cheng, W. Zhou, Composite Structures (2022).
2022 | Journal Article | LibreCat-ID: 30656
Strain mode-dependent weighting functions in hyperelasticity accounting for verification, validation, and stability of material parameters
R. Mahnken, Archive of Applied Mechanics 92 (2022) 713–754.
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| DOI
R. Mahnken, Archive of Applied Mechanics 92 (2022) 713–754.
2022 | Journal Article | LibreCat-ID: 30655
Goal-oriented error estimation and h-adaptive finite elements for hyperelastic micromorphic continua
X. Ju, R. Mahnken, Y. Xu, L. Liang, Computational Mechanics 69 (2022) 847–863.
LibreCat
| DOI
X. Ju, R. Mahnken, Y. Xu, L. Liang, Computational Mechanics 69 (2022) 847–863.
2022 | Journal Article | LibreCat-ID: 30657
Physics informed neural networks for continuum micromechanics
A. Henkes, H. Wessels, R. Mahnken, Computer Methods in Applied Mechanics and Engineering 393 (2022).
LibreCat
| DOI
A. Henkes, H. Wessels, R. Mahnken, Computer Methods in Applied Mechanics and Engineering 393 (2022).
2022 | Journal Article | LibreCat-ID: 34074
A statistically based strain energy function for polymer chains in rubber elasticity
R. Mahnken, J. Mirzapour, Archive of Applied Mechanics 92 (2022) 3295–3323.
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| DOI
R. Mahnken, J. Mirzapour, Archive of Applied Mechanics 92 (2022) 3295–3323.
2022 | Journal Article | LibreCat-ID: 41485
Effects on Process Forces of Individual Milling Tool Edges Depending on the Cutting Angle and Cutting Speed When Milling Cfrp
R. Clemens, E. Barth, E. Uhlmann, Y. Zhan, I. Caylak, R. Mahnken, SSRN Electronic Journal (2022).
LibreCat
| DOI
R. Clemens, E. Barth, E. Uhlmann, Y. Zhan, I. Caylak, R. Mahnken, SSRN Electronic Journal (2022).
2022 | Journal Article | LibreCat-ID: 32592
NTFA-enabled goal-oriented adaptive space–time finite elements for micro-heterogeneous elastoplasticity problems
X. Ju, R. Mahnken, Y. Xu, L. Liang, Computer Methods in Applied Mechanics and Engineering 398 (2022).
LibreCat
| DOI
X. Ju, R. Mahnken, Y. Xu, L. Liang, Computer Methods in Applied Mechanics and Engineering 398 (2022).
2022 | Journal Article | LibreCat-ID: 34075
A polymorphic uncertainty model for the curing process of transversely fiber-reinforced plastics
E. Penner, I. Caylak, R. Mahnken, Mathematics and Mechanics of Complex Systems 10 (2022) 21–50.
LibreCat
| DOI
E. Penner, I. Caylak, R. Mahnken, Mathematics and Mechanics of Complex Systems 10 (2022) 21–50.
2022 | Journal Article | LibreCat-ID: 33801
New low order Runge–Kutta schemes for asymptotically exact global error estimation of embedded methods without order reduction
R. Mahnken, Computer Methods in Applied Mechanics and Engineering 401 (2022).
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| DOI
R. Mahnken, Computer Methods in Applied Mechanics and Engineering 401 (2022).
2022 | Journal Article | LibreCat-ID: 23794 | 
Microstructure transformations in a press hardening steel during tailored thermo‐mechanical processing
H. Westermann, A. Reitz, R. Mahnken, M. Schaper, O. Grydin, Steel Research International (2022).
LibreCat
| DOI
| Download (ext.)
H. Westermann, A. Reitz, R. Mahnken, M. Schaper, O. Grydin, Steel Research International (2022).
2021 | Book Chapter | LibreCat-ID: 29086
Hybridprofile für Trag- und Crashstrukturen
W.-G. Drossel, M. Bobbert, M. Böhme, C. Dammann, A. Dittes, M. Gießmann, C. Hühne, J. Ihlemann, R. Kießling, T. Lampke, P. Lenz, R. Mahnken, G. Meschut, R. Müller, M. Nier, R. Prussak, M. Riemer, S. Sander, M. Schaper, I. Scharf, M. Scholze, S.-D. Schwöbel, S. Sharafiev, M. Sinapius, D. Stefaniak, T. Tröster, M.F.-X. Wagner, Z. Wang, C. Zinn, in: Intrinsische Hybridverbunde Für Leichtbautragstrukturen, Berlin, Heidelberg, 2021.
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| DOI
W.-G. Drossel, M. Bobbert, M. Böhme, C. Dammann, A. Dittes, M. Gießmann, C. Hühne, J. Ihlemann, R. Kießling, T. Lampke, P. Lenz, R. Mahnken, G. Meschut, R. Müller, M. Nier, R. Prussak, M. Riemer, S. Sander, M. Schaper, I. Scharf, M. Scholze, S.-D. Schwöbel, S. Sharafiev, M. Sinapius, D. Stefaniak, T. Tröster, M.F.-X. Wagner, Z. Wang, C. Zinn, in: Intrinsische Hybridverbunde Für Leichtbautragstrukturen, Berlin, Heidelberg, 2021.
2021 | Journal Article | LibreCat-ID: 29089
Constitutive modeling of viscoplasticity including phase transformations for graded thermo‐mechanical processing
H. Westermann, A. Reitz, R. Mahnken, O. Grydin, M. Schaper, PAMM (2021).
LibreCat
| DOI
H. Westermann, A. Reitz, R. Mahnken, O. Grydin, M. Schaper, PAMM (2021).
2021 | Journal Article | LibreCat-ID: 21708
Damage simulation of thermo‐chemo‐elasto‐plastic fibre reinforced composites using mean‐field homogenization methods
P. Lenz, R. Mahnken, PAMM (2021).
LibreCat
| DOI
P. Lenz, R. Mahnken, PAMM (2021).
2021 | Journal Article | LibreCat-ID: 24392
An uncertainty model for the curing process of transversely fiber reinforced plastics
E. Penner, I. Caylak, R. Mahnken, PAMM (2021).
LibreCat
| DOI
E. Penner, I. Caylak, R. Mahnken, PAMM (2021).
2021 | Journal Article | LibreCat-ID: 24384
Constitutive modeling of dynamic recrystallization coupled to viscoplasticity
H. Westermann, R. Mahnken, PAMM (2021).
LibreCat
| DOI
H. Westermann, R. Mahnken, PAMM (2021).
2021 | Journal Article | LibreCat-ID: 24397
A deep learning driven uncertain full‐field homogenization method
A. Henkes, I. Caylak, R. Mahnken, PAMM (2021).
LibreCat
| DOI
A. Henkes, I. Caylak, R. Mahnken, PAMM (2021).
2021 | Journal Article | LibreCat-ID: 24390
A non-equilibrium thermodynamic framework for viscoplasticity incorporating dynamic recrystallization at large strains
R. Mahnken, H. Westermann, International Journal of Plasticity (2021).
LibreCat
| DOI
R. Mahnken, H. Westermann, International Journal of Plasticity (2021).
2021 | Journal Article | LibreCat-ID: 21681
Fuzzy and stochastic approach applied to rubber like materials
E. Penner, I. Caylak, R. Mahnken, A. Dridger, Safety and Reliability (2021) 1–19.
LibreCat
| DOI
E. Penner, I. Caylak, R. Mahnken, A. Dridger, Safety and Reliability (2021) 1–19.
2021 | Conference Paper | LibreCat-ID: 24388
On the Thermodynamics of Dynamic Recrystallization for Viscoplasticity at Large Strains
H. Westermann, R. Mahnken, in: 14th WCCM-ECCOMAS Congress, 2021.
LibreCat
| DOI
H. Westermann, R. Mahnken, in: 14th WCCM-ECCOMAS Congress, 2021.
2021 | Journal Article | LibreCat-ID: 23431
Non-linear mean-field modelling of UD composite laminates accounting for average asymmetric plasticity of the matrix, debonding and progressive failure
C. Cheng, Z. Wang, Z. Jin, X. Ju, S. Schweizer, T. Tröster, R. Mahnken, Composites Part B: Engineering 224 (2021).
LibreCat
| DOI
C. Cheng, Z. Wang, Z. Jin, X. Ju, S. Schweizer, T. Tröster, R. Mahnken, Composites Part B: Engineering 224 (2021).
2021 | Journal Article | LibreCat-ID: 27774
A general framework for mean-field homogenization of multi-layered linear elastic composites subjected to thermal and curing induced strains
P. Lenz, R. Mahnken, International Journal of Solids and Structures (2021).
LibreCat
| DOI
P. Lenz, R. Mahnken, International Journal of Solids and Structures (2021).
2021 | Journal Article | LibreCat-ID: 29088
A nonuniform transformation field analysis for composites with strength difference effects in elastoplasticity
X. Ju, R. Mahnken, Y. Xu, L. Liang, W. Zhou, International Journal of Solids and Structures (2021).
LibreCat
| DOI
X. Ju, R. Mahnken, Y. Xu, L. Liang, W. Zhou, International Journal of Solids and Structures (2021).
2021 | Journal Article | LibreCat-ID: 24376
A deep learning driven pseudospectral PCE based FFT homogenization algorithm for complex microstructures
A. Henkes, I. Caylak, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2021).
LibreCat
| DOI
A. Henkes, I. Caylak, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2021).
2021 | Journal Article | LibreCat-ID: 29085
A modified Zerilli–Armstrong model as the asymmetric visco-plastic part of a multi-mechanism model for cutting simulations
C. Cheng, R. Mahnken, Archive of Applied Mechanics (2021) 3869–3888.
LibreCat
| DOI
C. Cheng, R. Mahnken, Archive of Applied Mechanics (2021) 3869–3888.
2021 | Journal Article | LibreCat-ID: 29092
Goal-oriented mesh adaptivity for inverse problems in linear micromorphic elasticity
X. Ju, R. Mahnken, L. Liang, Y. Xu, Computers & Structures (2021).
LibreCat
| DOI
X. Ju, R. Mahnken, L. Liang, Y. Xu, Computers & Structures (2021).
2021 | Journal Article | LibreCat-ID: 29090
Integral‐type non‐local damage simulation of composites using mean‐field homogenization methods
P. Lenz, R. Mahnken, PAMM (2021).
LibreCat
| DOI
P. Lenz, R. Mahnken, PAMM (2021).
2021 | Journal Article | LibreCat-ID: 29091
Physics informed neural networks for continuum micromechanics
A. Henkes, H. Wessels, R. Mahnken, PAMM (2021).
LibreCat
| DOI
A. Henkes, H. Wessels, R. Mahnken, PAMM (2021).
2020 | Journal Article | LibreCat-ID: 24374
Mean-field and full-field homogenization with polymorphic uncertain geometry and material parameters
I. Caylak, E. Penner, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2020).
LibreCat
| DOI
I. Caylak, E. Penner, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2020).
2019 | Journal Article | LibreCat-ID: 19297
A possibilistic finite element method for sparse data
A. Dridger, I. Caylak, R. Mahnken, E. Penner, Safety and Reliability (2019) 58–82.
LibreCat
| DOI
A. Dridger, I. Caylak, R. Mahnken, E. Penner, Safety and Reliability (2019) 58–82.
2019 | Journal Article | LibreCat-ID: 13431
"A possibilistic finite element method for sparse data"
A. Dridger, I. Caylak, R. Mahnken, E. Penner, Safety and Reliability (2019) 58–82.
LibreCat
| DOI
A. Dridger, I. Caylak, R. Mahnken, E. Penner, Safety and Reliability (2019) 58–82.
2019 | Journal Article | LibreCat-ID: 13432
"Goal-oriented h-type adaptive finite elements for micromorphic elastoplasticity"
X. Ju, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2019) 297–329.
LibreCat
| DOI
X. Ju, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2019) 297–329.
2019 | Journal Article | LibreCat-ID: 13434
"Optimization with constraints considering polymorphic uncertainties"
M. Mäck, I. Caylak, P. Edler, S. Freitag, M. Hanss, R. Mahnken, G. Meschke, E. Penner, GAMM-Mitteilungen (2019).
LibreCat
| DOI
M. Mäck, I. Caylak, P. Edler, S. Freitag, M. Hanss, R. Mahnken, G. Meschke, E. Penner, GAMM-Mitteilungen (2019).