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252 Publications


2021 | Journal Article | LibreCat-ID: 27774
Lenz, Peter, and Rolf 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, 2021. https://doi.org/10.1016/j.ijsolstr.2021.111266.
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2021 | Journal Article | LibreCat-ID: 29088
Ju, X., Rolf 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, 2021. https://doi.org/10.1016/j.ijsolstr.2021.111103.
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2021 | Journal Article | LibreCat-ID: 24376
Henkes, Alexander, Ismail Caylak, and Rolf Mahnken. “A Deep Learning Driven Pseudospectral PCE Based FFT Homogenization Algorithm for Complex Microstructures.” Computer Methods in Applied Mechanics and Engineering, 2021. https://doi.org/10.1016/j.cma.2021.114070.
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2021 | Journal Article | LibreCat-ID: 29085
Cheng, C., and Rolf Mahnken. “A Modified Zerilli–Armstrong Model as the Asymmetric Visco-Plastic Part of a Multi-Mechanism Model for Cutting Simulations.” Archive of Applied Mechanics, 2021, 3869–88. https://doi.org/10.1007/s00419-021-01982-6.
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2021 | Journal Article | LibreCat-ID: 29092
Ju, X., Rolf Mahnken, L. Liang, and Y. Xu. “Goal-Oriented Mesh Adaptivity for Inverse Problems in Linear Micromorphic Elasticity.” Computers & Structures, 2021. https://doi.org/10.1016/j.compstruc.2021.106671.
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2021 | Journal Article | LibreCat-ID: 29090
Lenz, Peter, and Rolf Mahnken. “Integral‐type Non‐local Damage Simulation of Composites Using Mean‐field Homogenization Methods.” PAMM, 2021. https://doi.org/10.1002/pamm.202100081.
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2021 | Journal Article | LibreCat-ID: 29091
Henkes, Alexander, Henning Wessels, and Rolf Mahnken. “Physics Informed Neural Networks for Continuum Micromechanics.” PAMM, 2021. https://doi.org/10.1002/pamm.202100040.
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2020 | Journal Article | LibreCat-ID: 24374
Caylak, Ismail, Eduard Penner, and Rolf Mahnken. “Mean-Field and Full-Field Homogenization with Polymorphic Uncertain Geometry and Material Parameters.” Computer Methods in Applied Mechanics and Engineering, 2020. https://doi.org/10.1016/j.cma.2020.113439.
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2019 | Journal Article | LibreCat-ID: 13431
Dridger, A., I. Caylak, R. Mahnken, and E. Penner. “‘A Possibilistic Finite Element Method for Sparse Data.’” Safety and Reliability, 2019, 58–82. https://doi.org/10.1080/09617353.2018.1552477.
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2019 | Journal Article | LibreCat-ID: 13432
Ju, Xiaozhe, and Rolf Mahnken. “‘Goal-Oriented h-Type Adaptive Finite Elements for Micromorphic Elastoplasticity.’” Computer Methods in Applied Mechanics and Engineering, 2019, 297–329. https://doi.org/10.1016/j.cma.2019.01.031.
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2019 | Journal Article | LibreCat-ID: 13434
Mäck, Markus, Ismail Caylak, Philipp Edler, Steffen Freitag, Michael Hanss, Rolf Mahnken, Günther Meschke, and Eduard Penner. “‘Optimization with Constraints Considering Polymorphic Uncertainties.’” GAMM-Mitteilungen, 2019. https://doi.org/10.1002/gamm.201900005.
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2019 | Journal Article | LibreCat-ID: 13805
Mahnken, Rolf, and Xiaozhe 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. https://doi.org/10.1002/nme.6209.
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2019 | Journal Article | LibreCat-ID: 13806
Dammann, Christian, and Rolf 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 120 (2019): 147–60. https://doi.org/10.1016/j.compositesa.2019.02.022.
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2019 | Journal Article | LibreCat-ID: 13807
Ju, X., and R. Mahnken. “‘Goal-Oriented Adaptivity on Mean-Field and Full-Field Homogenization Methods Considering Hierarchical Unit Cells.’” PAMM 19 (n.d.).
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2019 | Journal Article | LibreCat-ID: 13813
Lenz, P., and R. Mahnken. “‘Damage Simulation of Fiber Reinforced Composites Using Mean-Field Homogenization Methods’ .” PAMM 19 (2019).
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2019 | Journal Article | LibreCat-ID: 19122
Penner, Eduard, Ismail Caylak, Alex Dridger, and Rolf Mahnken. “A Polynomial Chaos Expanded Hybrid Fuzzy-Stochastic Model for Transversely Fiber Reinforced Plastics.” Mathematics and Mechanics of Complex Systems, 2019, 99–129. https://doi.org/10.2140/memocs.2019.7.99.
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2019 | Journal Article | LibreCat-ID: 19120
Caylak, Ismail, Eduard Penner, and Rolf Mahnken. “A Fuzzy Uncertainty Model for Analytical and Numerical Homogenization of Transversely Fiber Reinforced Plastics.” PAMM, 2019. https://doi.org/10.1002/pamm.201900356.
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2019 | Journal Article | LibreCat-ID: 24429
Ju, Xiaozhe, and Rolf Mahnken. “Model Adaptivity on Mean‐field and Full‐field Homogenization Methods Considering Hierarchical Unit Cells.” PAMM, 2019. https://doi.org/10.1002/pamm.201900177.
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2019 | Journal Article | LibreCat-ID: 19424
Lenz, Peter, and Rolf Mahnken. “Damage Simulation of Fiber Reinforced Composites Using Mean‐field Homogenization Methods.” PAMM, 2019. https://doi.org/10.1002/pamm.201900370.
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2019 | Book | LibreCat-ID: 19326
Mahnken, Rolf. Lehrbuch Der Technischen Mechanik - Band 2: Elastostatik. Berlin, Heidelberg, 2019. https://doi.org/10.1007/978-3-662-58166-7.
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