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269 Publications


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
"Goal-oriented adaptivity on mean-field and full-field homogenization methods considering hierarchical unit cells"
X. Ju, R. Mahnken, PAMM 19 (n.d.).
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2019 | Journal Article | LibreCat-ID: 13813
"Damage simulation of fiber reinforced composites using mean-field homogenization methods"
P. Lenz, R. Mahnken, PAMM 19 (2019).
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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
A fuzzy uncertainty model for analytical and numerical homogenization of transversely fiber reinforced plastics
I. Caylak, E. Penner, R. Mahnken, PAMM (2019).
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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).
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2019 | Journal Article | LibreCat-ID: 19424
Damage simulation of fiber reinforced composites using mean‐field homogenization methods
P. Lenz, R. Mahnken, PAMM (2019).
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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
"Sequential biaxial stretching of polycarbonate-films for characterization of strain-induced anisotropy"
C. Dammann, I. Caylak, R. Mahnken, GAMM-Mitteilungen (2018).
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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
"Error-controlled homogenization for a class of linear elastic composite problems"
X. Ju, R. Mahnken, PAMM (2018) 601–602.
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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.
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2018 | Journal Article | LibreCat-ID: 9940
"A fuzzy finite element method for sparse experimental data based on a possibilistic approach"
A. Dridger, I. Caylak, R. Mahnken, PAMM (2018) 55–56.
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2018 | Journal Article | LibreCat-ID: 9996
"Goal-oriented adaptivity for parameter identification in linear micromorphic elasticity"
X. Ju, R. Mahnken, PAMM (2018).
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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).
LibreCat | DOI
 

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
"Simulation of upper and lower bainitic transformation with a coupled phase field/diffusion/deformation framework"
M. Düsing, R. Mahnken, PAMM 18 (2018).
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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).
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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.
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2018 | Journal Article | LibreCat-ID: 21709
Derivation of an n-layered composite sphere model for thermo-chemo-mechanical effective properties
C. Dammann, R. Mahnken, P. Lenz, PAMM (2018) 581–582.
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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).
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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.
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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
"Thermo-chemo-mechanical Effective Properties for Homogeneous and Heterogeneous n -Phase Mixtures with Application to Curing"
C. Dammann, P. Lenz, R. Mahnken, Procedia CIRP 66 (2017) 51–56.
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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.
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