Publikationen aus dem RIS - Structural and material mechanics

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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Constitutive modeling of viscoplasticity including phase transformations for graded thermo‐mechanical processing

H. Westermann, A. Reitz, R. Mahnken, O. Grydin, M. Schaper, PAMM (2021).

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Damage simulation of thermo‐chemo‐elasto‐plastic fibre reinforced composites using mean‐field homogenization methods

P. Lenz, R. Mahnken, PAMM (2021).

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An uncertainty model for the curing process of transversely fiber reinforced plastics

E. Penner, I. Caylak, R. Mahnken, PAMM (2021).

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Constitutive modeling of dynamic recrystallization coupled to viscoplasticity

H. Westermann, R. Mahnken, PAMM (2021).

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A deep learning driven uncertain full‐field homogenization method

A. Henkes, I. Caylak, R. Mahnken, PAMM (2021).

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A non-equilibrium thermodynamic framework for viscoplasticity incorporating dynamic recrystallization at large strains

R. Mahnken, H. Westermann, International Journal of Plasticity (2021).

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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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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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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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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).

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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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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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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.

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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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Integral‐type non‐local damage simulation of composites using mean‐field homogenization methods

P. Lenz, R. Mahnken, PAMM (2021).

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Physics informed neural networks for continuum micromechanics

A. Henkes, H. Wessels, R. Mahnken, PAMM (2021).

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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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"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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"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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"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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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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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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"Goal-oriented adaptivity on mean-field and full-field homogenization methods considering hierarchical unit cells"

X. Ju, R. Mahnken, PAMM 19 (n.d.).

"Damage simulation of fiber reinforced composites using mean-field homogenization methods"

P. Lenz, R. Mahnken, PAMM 19 (2019).

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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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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Model adaptivity on mean‐field and full‐field homogenization methods considering hierarchical unit cells

X. Ju, R. Mahnken, PAMM (2019).

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Damage simulation of fiber reinforced composites using mean‐field homogenization methods

P. Lenz, R. Mahnken, PAMM (2019).

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Lehrbuch der Technischen Mechanik - Band 2: Elastostatik

R. Mahnken, Lehrbuch Der Technischen Mechanik - Band 2: Elastostatik, Berlin, Heidelberg, 2019.

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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.

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.

Adaptive Methods in the Mechanics of Heterogeneous Materials

X. Ju, Adaptive Methods in the Mechanics of Heterogeneous Materials, 2019.

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.

„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.

„Simulation of bainitic transformation with the phase field method“.

M. Düsing, „Simulation of Bainitic Transformation with the Phase Field Method“. , 2018.

"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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"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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A multivariate stochastic material model with correlated material parameters

E. Penner, I. Caylak, R. Mahnken, PAMM (2018) 67–68.

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"Error-controlled homogenization for a class of linear elastic composite problems"

X. Ju, R. Mahnken, PAMM (2018) 601–602.

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"A coupled phase transformation and solute diffusion model for bainitic transformation"

M. Düsing, R. Mahnken, PAMM (2018) 505–506.

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"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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"Goal-oriented adaptivity for parameter identification in linear micromorphic elasticity"

X. Ju, R. Mahnken, PAMM (2018).

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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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"Stochastic hyperelastic modeling considering dependency of material parameters"

I. Caylak, A. Dridger, R. Mahnken, Computational Mechanics 62 (2018) 1273–1285.

„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.

„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.

„Mean-field homogenization of multi-layered thermo-chemo-elastic composites including damage“

P. Lenz, R. M, in: 31st International Workshop on Research in Mechnanics of Composite, 2018.

"Possibilistic and stochastic analysis using for rubber-like materials"

E. Penner, I. Caylak, A. Dridger, R. Mahnken, PAMM (2018).

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"A fuzzy-stochastic model for transversely fiber reinforced plastics"

I. Caylak, E. Penner, A. Dridger, R. Mahnken, PAMM (2018).

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"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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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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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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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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Unschärfe in der Simulation im Kontext von Sicherheitsdiskursen

A. Dridger, R. Mahnken, in: Wissenschaft Im Angesicht »großer Gesellschaftlicher Herausforderungen«, 2018.

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Transformation strains for bainitic variant evolution in steel

U. Ehlenbröker, M. Petersmann, T. Antretter, R. Mahnken, PAMM (2018) 587–588.

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The effective shear modulus for ann-layered composite sphere

P. Lenz, C. Dammann, R. Mahnken, PAMM (2018) 609–610.

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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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Possibilistic and stochastic analysis using for rubber‐like materials

E. Penner, I. Caylak, A. Dridger, R. Mahnken, PAMM (2018).

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A multivariate stochastic material model with correlated material parameters

E. Penner, I. Caylak, R. Mahnken, PAMM (2018) 67–68.

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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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"A variational formulation for fuzzy analysis in continuum mechanics"

R. Mahnken, Mathematics and Mechanics of Complex Systems 5 (2017).

,,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.

"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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"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.

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"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.

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"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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