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273 Publications


2021 | Conference Paper | LibreCat-ID: 24388
H. Westermann and R. Mahnken, “On the Thermodynamics of Dynamic Recrystallization for Viscoplasticity at Large Strains,” 2021, doi: 10.23967/wccm-eccomas.2020.261.
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2021 | Journal Article | LibreCat-ID: 23431
C. Cheng et al., “Non-linear mean-field modelling of UD composite laminates accounting for average asymmetric plasticity of the matrix, debonding and progressive failure,” Composites Part B: Engineering, vol. 224, Art. no. 109209, 2021, doi: 10.1016/j.compositesb.2021.109209.
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2021 | Journal Article | LibreCat-ID: 27774
P. Lenz and R. Mahnken, “A general framework for mean-field homogenization of multi-layered linear elastic composites subjected to thermal and curing induced strains,” International Journal of Solids and Structures, Art. no. 111266, 2021, doi: 10.1016/j.ijsolstr.2021.111266.
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2021 | Journal Article | LibreCat-ID: 29088
X. Ju, R. Mahnken, Y. Xu, L. Liang, and W. Zhou, “A nonuniform transformation field analysis for composites with strength difference effects in elastoplasticity,” International Journal of Solids and Structures, Art. no. 111103, 2021, doi: 10.1016/j.ijsolstr.2021.111103.
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2021 | Journal Article | LibreCat-ID: 24376
A. Henkes, I. Caylak, and R. Mahnken, “A deep learning driven pseudospectral PCE based FFT homogenization algorithm for complex microstructures,” Computer Methods in Applied Mechanics and Engineering, Art. no. 114070, 2021, doi: 10.1016/j.cma.2021.114070.
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2021 | Journal Article | LibreCat-ID: 29085
C. Cheng and R. Mahnken, “A modified Zerilli–Armstrong model as the asymmetric visco-plastic part of a multi-mechanism model for cutting simulations,” Archive of Applied Mechanics, pp. 3869–3888, 2021, doi: 10.1007/s00419-021-01982-6.
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2021 | Journal Article | LibreCat-ID: 29092
X. Ju, R. Mahnken, L. Liang, and Y. Xu, “Goal-oriented mesh adaptivity for inverse problems in linear micromorphic elasticity,” Computers & Structures, Art. no. 106671, 2021, doi: 10.1016/j.compstruc.2021.106671.
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2021 | Journal Article | LibreCat-ID: 29090
P. Lenz and R. Mahnken, “Integral‐type non‐local damage simulation of composites using mean‐field homogenization methods,” PAMM, 2021, doi: 10.1002/pamm.202100081.
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2021 | Journal Article | LibreCat-ID: 29091
A. Henkes, H. Wessels, and R. Mahnken, “Physics informed neural networks for continuum micromechanics,” PAMM, 2021, doi: 10.1002/pamm.202100040.
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2020 | Journal Article | LibreCat-ID: 24374
I. Caylak, E. Penner, and R. Mahnken, “Mean-field and full-field homogenization with polymorphic uncertain geometry and material parameters,” Computer Methods in Applied Mechanics and Engineering, Art. no. 113439, 2020, doi: 10.1016/j.cma.2020.113439.
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2019 | Journal Article | LibreCat-ID: 19297
A. Dridger, I. Caylak, R. Mahnken, and E. Penner, “A possibilistic finite element method for sparse data,” Safety and Reliability, pp. 58–82, 2019.
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2019 | Journal Article | LibreCat-ID: 13431
A. Dridger, I. Caylak, R. Mahnken, and E. Penner, “‘A possibilistic finite element method for sparse data,’” Safety and Reliability, pp. 58–82, 2019.
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2019 | Journal Article | LibreCat-ID: 13432
X. Ju and R. Mahnken, “‘Goal-oriented h-type adaptive finite elements for micromorphic elastoplasticity,’” Computer Methods in Applied Mechanics and Engineering, pp. 297–329, 2019.
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2019 | Journal Article | LibreCat-ID: 13434
M. Mäck et al., “‘Optimization with constraints considering polymorphic uncertainties,’” GAMM-Mitteilungen, 2019.
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2019 | Journal Article | LibreCat-ID: 13805
R. Mahnken and X. Ju, “Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field homogenization methods in linear elasticity,” International Journal for Numerical Methods in Engineering, 2019.
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2019 | Journal Article | LibreCat-ID: 13806
C. Dammann and R. Mahnken, “Simulation of a resin transfer molding process using a phase field approach within the theory of porous media,” Composites Part A: Applied Science and Manufacturing, vol. 120, pp. 147–160, 2019.
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2019 | Journal Article | LibreCat-ID: 13807
X. Ju and R. Mahnken, “‘Goal-oriented adaptivity on mean-field and full-field homogenization methods considering hierarchical unit cells,’” PAMM, vol. 19.
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2019 | Journal Article | LibreCat-ID: 13813
P. Lenz and R. Mahnken, “‘Damage simulation of fiber reinforced composites using mean-field homogenization methods’ ,” PAMM, vol. 19, 2019.
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2019 | Journal Article | LibreCat-ID: 19300
M. Mäck et al., “Optimization with constraints considering polymorphic uncertainties,” GAMM-Mitteilungen, Art. no. e201900005, 2019, doi: 10.1002/gamm.201900005.
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2019 | Journal Article | LibreCat-ID: 19122
E. Penner, I. Caylak, A. Dridger, and R. Mahnken, “A polynomial chaos expanded hybrid fuzzy-stochastic model for transversely fiber reinforced plastics,” Mathematics and Mechanics of Complex Systems, pp. 99–129, 2019, doi: 10.2140/memocs.2019.7.99.
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2019 | Journal Article | LibreCat-ID: 19120
I. Caylak, E. Penner, and R. Mahnken, “A fuzzy uncertainty model for analytical and numerical homogenization of transversely fiber reinforced plastics,” PAMM, 2019, doi: 10.1002/pamm.201900356.
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2019 | Journal Article | LibreCat-ID: 24429
X. Ju and R. Mahnken, “Model adaptivity on mean‐field and full‐field homogenization methods considering hierarchical unit cells,” PAMM, 2019, doi: 10.1002/pamm.201900177.
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2019 | Journal Article | LibreCat-ID: 19424
P. Lenz and R. Mahnken, “Damage simulation of fiber reinforced composites using mean‐field homogenization methods,” PAMM, 2019, doi: 10.1002/pamm.201900370.
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2019 | Book | LibreCat-ID: 19326
R. Mahnken, Lehrbuch der Technischen Mechanik - Band 2: Elastostatik. Berlin, Heidelberg, 2019.
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2019 | Dissertation | LibreCat-ID: 42187
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
C. Damman, Experimental Characterization and Constitutive Modeling of Reinforced Thermoplastic and Thermosetting Polymers. Shaker, 2019.
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2019 | Dissertation | LibreCat-ID: 42191
X. Ju, Adaptive Methods in the Mechanics of Heterogeneous Materials. 2019.
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2019 | Dissertation | LibreCat-ID: 42188
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
M. Düsing and R. Mahnken, “„A coupled phase field/diffusion model for upper and lower bainitic transformation”,” International Journal of Solids and Structures, vol. 135, pp. 172–183, 2018.
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2018 | Journal Article | LibreCat-ID: 9933
R. Mahnken, P. Lenz, and C. Dammann, “‘A least squares approach for effective shear properties in an n-layered sphere model,’” Archive of Applied Mechanics, pp. 2081–2099, 2018.
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2018 | Journal Article | LibreCat-ID: 9934
C. Dammann, I. Caylak, and R. Mahnken, “‘Sequential biaxial stretching of polycarbonate-films for characterization of strain-induced anisotropy,’” GAMM-Mitteilungen, 2018.
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2018 | Journal Article | LibreCat-ID: 9935
E. Penner, I. Caylak, and R. Mahnken, “A multivariate stochastic material model with correlated material parameters,” PAMM, pp. 67–68, 2018.
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2018 | Journal Article | LibreCat-ID: 9936
X. Ju and R. Mahnken, “‘Error-controlled homogenization for a class of linear elastic composite problems,’” PAMM, pp. 601–602, 2018.
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2018 | Journal Article | LibreCat-ID: 9937
M. Düsing and R. Mahnken, “‘A coupled phase transformation and solute diffusion model for bainitic transformation,’” PAMM, pp. 505–506, 2018.
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2018 | Journal Article | LibreCat-ID: 9940
A. Dridger, I. Caylak, and R. Mahnken, “‘A fuzzy finite element method for sparse experimental data based on a possibilistic approach,’” PAMM, pp. 55–56, 2018.
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2018 | Journal Article | LibreCat-ID: 9996
X. Ju and R. Mahnken, “‘Goal-oriented adaptivity for parameter identification in linear micromorphic elasticity,’” PAMM, 2018.
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2018 | Journal Article | LibreCat-ID: 10005
X. Ju and R. Mahnken, “Goal-oriented adaptivity for linear elastic micromorphic continua based on primal and adjoint consistency analysis,” International Journal for Numerical Methods in Engineering, pp. 472–473, 2018.
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2018 | Journal Article | LibreCat-ID: 10009
I. Caylak, A. Dridger, and R. Mahnken, “‘Stochastic hyperelastic modeling considering dependency of material parameters,’” Computational Mechanics, vol. 62, no. 6, pp. 1273–1285, 2018.
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2018 | Conference Paper | LibreCat-ID: 10097
X. Ju and R. Mahnken, “„Goal-oriented adaptivity on mean-field and full-field homogenization methods with a view to hierarchical unit cells“,” in 31st International Workshop on Research in Mechnanics of Composite, Bad Herrenalb, 2018.
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2018 | Conference Paper | LibreCat-ID: 10098
A. Dridger, I. Caylak, R. Mahnken, and E. Penner, “„On the connection between possibility theory and probability box theory in structural mechanics“,” in 13th World Congress in Computational Mechanics , New York, 2018.
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2018 | Journal Article | LibreCat-ID: 10100
E. Penner, I. Caylak, A. Dridger, and R. Mahnken, “‘Possibilistic and stochastic analysis using for rubber-like materials,’” PAMM, 2018.
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2018 | Journal Article | LibreCat-ID: 10109
I. Caylak, E. Penner, A. Dridger, and R. Mahnken, “‘A fuzzy-stochastic model for transversely fiber reinforced plastics,’” PAMM, 2018.
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2018 | Journal Article | LibreCat-ID: 13808
M. Düsing and R. Mahnken, “‘Simulation of upper and lower bainitic transformation with a coupled phase field/diffusion/deformation framework,’” PAMM, vol. 18, 2018.
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2018 | Journal Article | LibreCat-ID: 13814
M. Düsing and R. Mahnken, “A coupled phase field/diffusional/mechanical framework for simulation of upper and lower bainitic transformation,” International Journal of Solids and Structures, vol. 162, pp. 45–59, 2018.
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2018 | Conference Paper | LibreCat-ID: 19306
A. Dridger, I. Caylak, R. Mahnken, and E. Penner, “On the connection between possibility theory and probability box theory in structural mechanics,” presented at the 13th World Congress in Computational Mechanics , New York, 2018.
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2018 | Journal Article | LibreCat-ID: 19308
I. Caylak, E. Penner, A. Dridger, and R. Mahnken, “Stochastic hyperelastic modeling considering dependency of material parameters,” Computational Mechanics, pp. 1273–1285, 2018, doi: 10.1007/s00466-018-1563-z.
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2018 | Journal Article | LibreCat-ID: 19303
I. Caylak, E. Penner, A. Dridger, and R. Mahnken, “A fuzzy‐stochastic model for transversely fiber reinforced plastics,” PAMM, 2018, doi: 10.1002/pamm.201800121.
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2018 | Journal Article | LibreCat-ID: 19426
R. Mahnken, P. Lenz, and C. Dammann, “A least squares approach for effective shear properties in an                                                                  $${{\varvec{n}}}$$                                                                            n                                                                    -layered sphere model,” Archive of Applied Mechanics, pp. 2081–2099, 2018, doi: 10.1007/s00419-018-1431-5.
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2018 | Journal Article | LibreCat-ID: 21709
C. Dammann, R. Mahnken, and P. Lenz, “Derivation of an n-layered composite sphere model for thermo-chemo-mechanical effective properties,” PAMM, pp. 581–582, 2018, doi: 10.1002/pamm.201710260.
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2018 | Book Chapter | LibreCat-ID: 24526
A. Dridger and R. Mahnken, “Unschärfe in der Simulation im Kontext von Sicherheitsdiskursen,” in Wissenschaft im Angesicht »großer gesellschaftlicher Herausforderungen«, 2018.
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