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269 Publications

 

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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2024 | Journal Article | LibreCat-ID: 52233 LibreCat | DOI
 
 

2023 | Journal Article | LibreCat-ID: 43095 LibreCat | DOI
 
 

2023 | Preprint | LibreCat-ID: 44887 LibreCat
 

2023 | Journal Article | LibreCat-ID: 44891 LibreCat | DOI
 

2023 | Journal Article | LibreCat-ID: 44892 LibreCat | DOI
 

2023 | Journal Article | LibreCat-ID: 44890 LibreCat | DOI
 
 

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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2023 | Journal Article | LibreCat-ID: 48465 LibreCat | DOI
 

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).
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2023 | Journal Article | LibreCat-ID: 49866 LibreCat | DOI
 

2023 | Journal Article | LibreCat-ID: 52219 LibreCat | DOI
 

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.
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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).
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2022 | Journal Article | LibreCat-ID: 30656 LibreCat | DOI
 

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.
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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).
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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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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).
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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).
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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.
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2022 | Journal Article | LibreCat-ID: 33801 LibreCat | DOI
 

2022 | Journal Article | LibreCat-ID: 23794 | OA
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.)
 

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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2021 | Journal Article | LibreCat-ID: 29089 LibreCat | DOI
 
 

2021 | Journal Article | LibreCat-ID: 24392 LibreCat | DOI
 

2021 | Journal Article | LibreCat-ID: 24384 LibreCat | DOI
 

2021 | Journal Article | LibreCat-ID: 24397
A deep learning driven uncertain full‐field homogenization method
A. Henkes, I. Caylak, R. Mahnken, PAMM (2021).
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2021 | Journal Article | LibreCat-ID: 24390 LibreCat | DOI
 

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.
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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.
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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).
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2021 | Journal Article | LibreCat-ID: 27774 LibreCat | DOI
 

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).
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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).
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2021 | Journal Article | LibreCat-ID: 29085 LibreCat | DOI
 

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).
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2021 | Journal Article | LibreCat-ID: 29090 LibreCat | DOI
 

2021 | Journal Article | LibreCat-ID: 29091
Physics informed neural networks for continuum micromechanics
A. Henkes, H. Wessels, R. Mahnken, PAMM (2021).
LibreCat | DOI
 

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).
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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.
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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.
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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.
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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).
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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).
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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.
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2019 | Journal Article | LibreCat-ID: 13807 LibreCat
 

2019 | Journal Article | LibreCat-ID: 13813 LibreCat
 

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).
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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.
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2019 | Journal Article | LibreCat-ID: 19120 LibreCat | DOI
 

2019 | Journal Article | LibreCat-ID: 24429 LibreCat | DOI
 

2019 | Journal Article | LibreCat-ID: 19424 LibreCat | DOI
 

2019 | Book | LibreCat-ID: 19326
Lehrbuch der Technischen Mechanik - Band 2: Elastostatik
R. Mahnken, Lehrbuch Der Technischen Mechanik - Band 2: Elastostatik, Berlin, Heidelberg, 2019.
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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.
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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.
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2019 | Dissertation | LibreCat-ID: 42191
Adaptive Methods in the Mechanics of Heterogeneous Materials
X. Ju, Adaptive Methods in the Mechanics of Heterogeneous Materials, 2019.
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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.
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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.
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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.
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2018 | Journal Article | LibreCat-ID: 9934 LibreCat | DOI
 

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.
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2018 | Journal Article | LibreCat-ID: 9936 LibreCat | DOI
 

2018 | Journal Article | LibreCat-ID: 9937 LibreCat | DOI
 

2018 | Journal Article | LibreCat-ID: 9940 LibreCat | DOI
 

2018 | Journal Article | LibreCat-ID: 9996 LibreCat | DOI
 

2018 | Journal Article | LibreCat-ID: 10005
Goal-oriented adaptivity for linear elastic micromorphic continua based on primal and adjoint consistency analysis
X. Ju, R. Mahnken, International Journal for Numerical Methods in Engineering (2018) 472–473.
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2018 | Journal Article | LibreCat-ID: 10009
"Stochastic hyperelastic modeling considering dependency of material parameters"
I. Caylak, A. Dridger, R. Mahnken, Computational Mechanics 62 (2018) 1273–1285.
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2018 | Conference Paper | LibreCat-ID: 10097
„Goal-oriented adaptivity on mean-field and full-field homogenization methods with a view to hierarchical unit cells“
X. Ju, R. Mahnken, in: 31st International Workshop on Research in Mechnanics of Composite, 2018.
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2018 | Conference Paper | LibreCat-ID: 10098
„On the connection between possibility theory and probability box theory in structural mechanics“
A. Dridger, I. Caylak, R. Mahnken, E. Penner, in: 13th World Congress in Computational Mechanics , 2018.
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2018 | Journal Article | LibreCat-ID: 10100
"Possibilistic and stochastic analysis using for rubber-like materials"
E. Penner, I. Caylak, A. Dridger, R. Mahnken, PAMM (2018).
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2018 | Journal Article | LibreCat-ID: 10109
"A fuzzy-stochastic model for transversely fiber reinforced plastics"
I. Caylak, E. Penner, A. Dridger, R. Mahnken, PAMM (2018).
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2018 | Journal Article | LibreCat-ID: 13808 LibreCat | DOI
 

2018 | Journal Article | LibreCat-ID: 13814
A coupled phase field/diffusional/mechanical framework for simulation of upper and lower bainitic transformation
M. Düsing, R. Mahnken, International Journal of Solids and Structures 162 (2018) 45–59.
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2018 | Conference Paper | LibreCat-ID: 19306
On the connection between possibility theory and probability box theory in structural mechanics
A. Dridger, I. Caylak, R. Mahnken, E. Penner, in: 13th World Congress in Computational Mechanics , 2018.
LibreCat
 

2018 | Journal Article | LibreCat-ID: 19308
Stochastic hyperelastic modeling considering dependency of material parameters
I. Caylak, E. Penner, A. Dridger, R. Mahnken, Computational Mechanics (2018) 1273–1285.
LibreCat | DOI
 

2018 | Journal Article | LibreCat-ID: 19303
A fuzzy‐stochastic model for transversely fiber reinforced plastics
I. Caylak, E. Penner, A. Dridger, R. Mahnken, PAMM (2018).
LibreCat | DOI
 

2018 | Journal Article | LibreCat-ID: 19426
A least squares approach for effective shear properties in an $${{\varvec{n}}}$$ n -layered sphere model
R. Mahnken, P. Lenz, C. Dammann, Archive of Applied Mechanics (2018) 2081–2099.
LibreCat | DOI
 

2018 | Journal Article | LibreCat-ID: 21709 LibreCat | DOI
 

2018 | Book Chapter | LibreCat-ID: 24526
Unschärfe in der Simulation im Kontext von Sicherheitsdiskursen
A. Dridger, R. Mahnken, in: Wissenschaft Im Angesicht »großer Gesellschaftlicher Herausforderungen«, 2018.
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2018 | Journal Article | LibreCat-ID: 24559
Transformation strains for bainitic variant evolution in steel
U. Ehlenbröker, M. Petersmann, T. Antretter, R. Mahnken, PAMM (2018) 587–588.
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2018 | Journal Article | LibreCat-ID: 24560
The effective shear modulus for ann-layered composite sphere
P. Lenz, C. Dammann, R. Mahnken, PAMM (2018) 609–610.
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2018 | Journal Article | LibreCat-ID: 24428
A multi-mechanism model for cutting simulation: A Ginzburg-Landau type phase gradient and numerical implementations
C. Cheng, R. Mahnken, International Journal of Solids and Structures (2018) 1–17.
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2018 | Journal Article | LibreCat-ID: 19124
Possibilistic and stochastic analysis using for rubber‐like materials
E. Penner, I. Caylak, A. Dridger, R. Mahnken, PAMM (2018).
LibreCat | DOI
 

2018 | Journal Article | LibreCat-ID: 19307
A multivariate stochastic material model with correlated material parameters
E. Penner, I. Caylak, R. Mahnken, PAMM (2018) 67–68.
LibreCat | DOI
 

2018 | Journal Article | LibreCat-ID: 15958
Shear strength and failure behaviour of laser nano-structured and conventionally pre-treated interfaces in intrinsically manufactured CFRP-steel hybrids
C. Zinn, M. Bobbert, C. Dammann, Z. Wang, T. Tröster, R. Mahnken, G. Meschut, M. Schaper, Composites Part B: Engineering (2018) 173–185.
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2017 | Journal Article | LibreCat-ID: 9862 | OA
"A variational formulation for fuzzy analysis in continuum mechanics"
R. Mahnken, Mathematics and Mechanics of Complex Systems 5 (2017).
LibreCat | Download (ext.)
 

2017 | Book Chapter | LibreCat-ID: 9872
,,Identification of Material Parameters for Constitutive Equations “
R. Mahnken, in: E. Stein, R. de Borst, T.J.R. Hughes (Eds.), Encyclopedia of Computational Mechanics, 2nd ed., John Wiley & Sons, 2017, p. 1165.
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2017 | Conference Paper | LibreCat-ID: 9941
"A POSSIBILISTIC APPROACH FOR LINEAR ISOTROPIC ELASTICITY USING THE FUZZY FINITE ELEMENT METHOD"
A. Dridger, I. Caylak, R. Mahnken, in: Proceedings of the 2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering (UNCECOMP 2017), 2017.
LibreCat | DOI
 

2017 | Journal Article | LibreCat-ID: 9988
"A coupled phase field/diffusion model for upper and lower bainitic transformation"
M. Düsing, R. Mahnken, International Journal of Solids and Structures (2017) 172–183.
LibreCat | DOI
 

2017 | Journal Article | LibreCat-ID: 9989
"Goal-oriented adaptivity for linear elastic micromorphic continua based on primal and adjoint consistency analysis"
X. Ju, R. Mahnken, International Journal for Numerical Methods in Engineering (2017) 1017–1039.
LibreCat | DOI
 

2017 | Journal Article | LibreCat-ID: 10004
"Model adaptivity on effective elastic properties coupled with adaptive FEM"
X. Ju, R. Mahnken, Computer Methods in Applied Mechanics and Engineering 322 (2017) 208–237.
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2017 | Journal Article | LibreCat-ID: 10006 LibreCat | DOI
 

2017 | Journal Article | LibreCat-ID: 10007
(n)- AND (n + 1)-LAYERED COMPOSITE SPHERE MODELS FOR THERMO-CHEMO-MECHANICAL EFFECTIVE PROPERTIES
R. Mahnken, C. Dammann, P. Lenz, International Journal for Multiscale Computational Engineering 15 (2017) 295–322.
LibreCat | DOI
 

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