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269 Publications
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.
LibreCat
| 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).
LibreCat
| 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).
2019 | Journal Article | LibreCat-ID: 13805
Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field homogenization methods in linear elasticity
R. Mahnken, X. Ju, International Journal for Numerical Methods in Engineering (2019).
LibreCat
| DOI
R. Mahnken, X. Ju, International Journal for Numerical Methods in Engineering (2019).
2019 | Journal Article | LibreCat-ID: 13806
Simulation of a resin transfer molding process using a phase field approach within the theory of porous media
C. Dammann, R. Mahnken, Composites Part A: Applied Science and Manufacturing 120 (2019) 147–160.
LibreCat
| DOI
C. Dammann, R. Mahnken, Composites Part A: Applied Science and Manufacturing 120 (2019) 147–160.
2019 | Journal Article | LibreCat-ID: 13807
"Goal-oriented adaptivity on mean-field and full-field homogenization methods considering hierarchical unit cells"
X. Ju, R. Mahnken, PAMM 19 (n.d.).
LibreCat
X. Ju, R. Mahnken, PAMM 19 (n.d.).
2019 | Journal Article | LibreCat-ID: 13813
"Damage simulation of fiber reinforced composites using mean-field homogenization methods"
P. Lenz, R. Mahnken, PAMM 19 (2019).
LibreCat
P. Lenz, R. Mahnken, PAMM 19 (2019).
2019 | Journal Article | LibreCat-ID: 19300
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).
2019 | Journal Article | LibreCat-ID: 19122
A polynomial chaos expanded hybrid fuzzy-stochastic model for transversely fiber reinforced plastics
E. Penner, I. Caylak, A. Dridger, R. Mahnken, Mathematics and Mechanics of Complex Systems (2019) 99–129.
LibreCat
| DOI
E. Penner, I. Caylak, A. Dridger, R. Mahnken, Mathematics and Mechanics of Complex Systems (2019) 99–129.
2019 | Journal Article | LibreCat-ID: 19120
A fuzzy uncertainty model for analytical and numerical homogenization of transversely fiber reinforced plastics
I. Caylak, E. Penner, R. Mahnken, PAMM (2019).
LibreCat
| DOI
I. Caylak, E. Penner, R. Mahnken, PAMM (2019).
2019 | Journal Article | LibreCat-ID: 24429
Model adaptivity on mean‐field and full‐field homogenization methods considering hierarchical unit cells
X. Ju, R. Mahnken, PAMM (2019).
LibreCat
| DOI
X. Ju, R. Mahnken, PAMM (2019).
2019 | Journal Article | LibreCat-ID: 19424
Damage simulation of fiber reinforced composites using mean‐field homogenization methods
P. Lenz, R. Mahnken, PAMM (2019).
LibreCat
| DOI
P. Lenz, R. Mahnken, PAMM (2019).
2019 | Book | LibreCat-ID: 19326
Lehrbuch der Technischen Mechanik - Band 2: Elastostatik
R. Mahnken, Lehrbuch Der Technischen Mechanik - Band 2: Elastostatik, Berlin, Heidelberg, 2019.
LibreCat
| DOI
R. Mahnken, Lehrbuch Der Technischen Mechanik - Band 2: Elastostatik, Berlin, Heidelberg, 2019.
2019 | Dissertation | LibreCat-ID: 42187
Adaptive Finite Element Methods for Direct and Inverse Problems in Nonlinear Solid Mechanics
K.-U. Widany, Adaptive Finite Element Methods for Direct and Inverse Problems in Nonlinear Solid Mechanics, Shaker, 2019.
LibreCat
K.-U. Widany, Adaptive Finite Element Methods for Direct and Inverse Problems in Nonlinear Solid Mechanics, Shaker, 2019.
2019 | Dissertation | LibreCat-ID: 42190
Experimental Characterization and Constitutive Modeling of Reinforced Thermoplastic and Thermosetting Polymers
C. Damman, Experimental Characterization and Constitutive Modeling of Reinforced Thermoplastic and Thermosetting Polymers, Shaker, 2019.
LibreCat
C. Damman, Experimental Characterization and Constitutive Modeling of Reinforced Thermoplastic and Thermosetting Polymers, Shaker, 2019.
2019 | Dissertation | LibreCat-ID: 42191
Adaptive Methods in the Mechanics of Heterogeneous Materials
X. Ju, Adaptive Methods in the Mechanics of Heterogeneous Materials, 2019.
LibreCat
X. Ju, Adaptive Methods in the Mechanics of Heterogeneous Materials, 2019.
2019 | Dissertation | LibreCat-ID: 42188
A multi-mechanism model for cutting simulations combining asymmetric effects and gradient phase transformations
C. Cheng, A Multi-Mechanism Model for Cutting Simulations Combining Asymmetric Effects and Gradient Phase Transformations, 2019.
LibreCat
C. Cheng, A Multi-Mechanism Model for Cutting Simulations Combining Asymmetric Effects and Gradient Phase Transformations, 2019.
2018 | Journal Article | LibreCat-ID: 9899
„A coupled phase field/diffusion model for upper and lower bainitic transformation”
M. Düsing, R. Mahnken, International Journal of Solids and Structures 135 (2018) 172–183.
LibreCat
M. Düsing, R. Mahnken, International Journal of Solids and Structures 135 (2018) 172–183.
2018 | Journal Article | LibreCat-ID: 9933
"A least squares approach for effective shear properties in an n-layered sphere model"
R. Mahnken, P. Lenz, C. Dammann, Archive of Applied Mechanics (2018) 2081–2099.
LibreCat
| DOI
R. Mahnken, P. Lenz, C. Dammann, Archive of Applied Mechanics (2018) 2081–2099.
2018 | Journal Article | LibreCat-ID: 9934
"Sequential biaxial stretching of polycarbonate-films for characterization of strain-induced anisotropy"
C. Dammann, I. Caylak, R. Mahnken, GAMM-Mitteilungen (2018).
LibreCat
| DOI
C. Dammann, I. Caylak, R. Mahnken, GAMM-Mitteilungen (2018).
2018 | Journal Article | LibreCat-ID: 9935
A multivariate stochastic material model with correlated material parameters
E. Penner, I. Caylak, R. Mahnken, PAMM (2018) 67–68.
LibreCat
| DOI
E. Penner, I. Caylak, R. Mahnken, PAMM (2018) 67–68.
2018 | Journal Article | LibreCat-ID: 9936
"Error-controlled homogenization for a class of linear elastic composite problems"
X. Ju, R. Mahnken, PAMM (2018) 601–602.
LibreCat
| DOI
X. Ju, R. Mahnken, PAMM (2018) 601–602.
2018 | Journal Article | LibreCat-ID: 9937
"A coupled phase transformation and solute diffusion model for bainitic transformation"
M. Düsing, R. Mahnken, PAMM (2018) 505–506.
LibreCat
| DOI
M. Düsing, R. Mahnken, PAMM (2018) 505–506.