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269 Publications
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: 19297
Dridger, A., Ismail Caylak, R. Mahnken, and Eduard 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: 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: 19300
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: 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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2019 | Dissertation | LibreCat-ID: 42187
Widany, Kai-Uwe. Adaptive Finite Element Methods for Direct and Inverse Problems in Nonlinear Solid Mechanics. Shaker, 2019.
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2019 | Dissertation | LibreCat-ID: 42190
Damman, Christian. Experimental Characterization and Constitutive Modeling of Reinforced Thermoplastic and Thermosetting Polymers. Shaker, 2019.
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2019 | Dissertation | LibreCat-ID: 42191
Ju, Xiaozhe. Adaptive Methods in the Mechanics of Heterogeneous Materials, 2019.
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2019 | Dissertation | LibreCat-ID: 42188
Cheng, Chun. 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
Düsing, M., and R. Mahnken. “„A Coupled Phase Field/Diffusion Model for Upper and Lower Bainitic Transformation”.” International Journal of Solids and Structures 135 (2018): 172–83.
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2018 | Journal Article | LibreCat-ID: 9933
Mahnken, Rolf, Peter Lenz, and Christian Dammann. “‘A Least Squares Approach for Effective Shear Properties in an n-Layered Sphere Model.’” Archive of Applied Mechanics, 2018, 2081–99. https://doi.org/10.1007/s00419-018-1431-5.
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2018 | Journal Article | LibreCat-ID: 9934
Dammann, Christian, Ismail Caylak, and Rolf Mahnken. “‘Sequential Biaxial Stretching of Polycarbonate-Films for Characterization of Strain-Induced Anisotropy.’” GAMM-Mitteilungen, 2018. https://doi.org/10.1002/gamm.201800003.
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2018 | Journal Article | LibreCat-ID: 9935
Penner, Eduard, Ismail Caylak, and Rolf Mahnken. “A Multivariate Stochastic Material Model with Correlated Material Parameters.” PAMM, 2018, 67–68. https://doi.org/10.1002/pamm.201710020.
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2018 | Journal Article | LibreCat-ID: 9936
Ju, Xiaozhe, and Rolf Mahnken. “‘Error-Controlled Homogenization for a Class of Linear Elastic Composite Problems.’” PAMM, 2018, 601–2. https://doi.org/10.1002/pamm.201710270.
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2018 | Journal Article | LibreCat-ID: 9937
Düsing, Martin, and Rolf Mahnken. “‘A Coupled Phase Transformation and Solute Diffusion Model for Bainitic Transformation.’” PAMM, 2018, 505–6. https://doi.org/10.1002/pamm.201710222.
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2018 | Journal Article | LibreCat-ID: 9940
Dridger, Alex, Ismail Caylak, and Rolf Mahnken. “‘A Fuzzy Finite Element Method for Sparse Experimental Data Based on a Possibilistic Approach.’” PAMM, 2018, 55–56. https://doi.org/10.1002/pamm.201710016.
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2018 | Journal Article | LibreCat-ID: 9996
Ju, Xiaozhe, and Rolf Mahnken. “‘Goal-Oriented Adaptivity for Parameter Identification in Linear Micromorphic Elasticity.’” PAMM, 2018. https://doi.org/10.1002/pamm.201800098.
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2018 | Journal Article | LibreCat-ID: 10005
Ju, X., 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, 2018, 472–73. https://doi.org/10.1002/nme.5996.
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2018 | Journal Article | LibreCat-ID: 10009
Caylak, I., A. Dridger, and R. Mahnken. “‘Stochastic Hyperelastic Modeling Considering Dependency of Material Parameters.’” Computational Mechanics 62, no. 6 (2018): 1273–85.
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2018 | Conference Paper | LibreCat-ID: 10097
Ju, X., 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, 2018.
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2018 | Conference Paper | LibreCat-ID: 10098
Dridger, A., 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 , 2018.
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2018 | Journal Article | LibreCat-ID: 10100
Penner, Eduard, Ismail Caylak, Alex Dridger, and Rolf Mahnken. “‘Possibilistic and Stochastic Analysis Using for Rubber-like Materials.’” PAMM, 2018. https://doi.org/10.1002/pamm.201800153.
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2018 | Journal Article | LibreCat-ID: 10109
Caylak, Ismail, Eduard Penner, Alex Dridger, and Rolf Mahnken. “‘A Fuzzy-Stochastic Model for Transversely Fiber Reinforced Plastics.’” PAMM, 2018. https://doi.org/10.1002/pamm.201800121.
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2018 | Journal Article | LibreCat-ID: 13808
Düsing, Martin, and Rolf Mahnken. “‘Simulation of Upper and Lower Bainitic Transformation with a Coupled Phase Field/Diffusion/Deformation Framework.’” PAMM 18 (2018). https://doi.org/10.1002/pamm.201800180.
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2018 | Journal Article | LibreCat-ID: 13814
Düsing, Martin, and Rolf Mahnken. “A Coupled Phase Field/Diffusional/Mechanical Framework for Simulation of Upper and Lower Bainitic Transformation.” International Journal of Solids and Structures 162 (2018): 45–59. https://doi.org/10.1016/j.ijsolstr.2018.11.027.
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2018 | Conference Paper | LibreCat-ID: 19306
Dridger, Alex, Ismail Caylak, Rolf Mahnken, and Eduard Penner. “On the Connection between Possibility Theory and Probability Box Theory in Structural Mechanics.” In 13th World Congress in Computational Mechanics , 2018.
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2018 | Journal Article | LibreCat-ID: 19308
Caylak, Ismail, Eduard Penner, Alex Dridger, and Rolf Mahnken. “Stochastic Hyperelastic Modeling Considering Dependency of Material Parameters.” Computational Mechanics, 2018, 1273–85. https://doi.org/10.1007/s00466-018-1563-z.
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2018 | Journal Article | LibreCat-ID: 19303
Caylak, Ismail, Eduard Penner, Alex Dridger, and Rolf Mahnken. “A Fuzzy‐stochastic Model for Transversely Fiber Reinforced Plastics.” PAMM, 2018. https://doi.org/10.1002/pamm.201800121.
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2018 | Journal Article | LibreCat-ID: 19426
Mahnken, Rolf, Peter Lenz, and Christian Dammann. “A Least Squares Approach for Effective Shear Properties in an $${{\varvec{n}}}$$ n -Layered Sphere Model.” Archive of Applied Mechanics, 2018, 2081–99. https://doi.org/10.1007/s00419-018-1431-5.
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2018 | Journal Article | LibreCat-ID: 21709
Dammann, Christian, Rolf Mahnken, and Peter Lenz. “Derivation of an N-Layered Composite Sphere Model for Thermo-Chemo-Mechanical Effective Properties.” PAMM, 2018, 581–82. https://doi.org/10.1002/pamm.201710260.
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2018 | Book Chapter | LibreCat-ID: 24526
Dridger, Alex, and Rolf Mahnken. “Unschärfe in Der Simulation Im Kontext von Sicherheitsdiskursen.” In Wissenschaft Im Angesicht »großer Gesellschaftlicher Herausforderungen«, 2018. https://doi.org/10.14361/9783839440995-003.
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2018 | Journal Article | LibreCat-ID: 24559
Ehlenbröker, Ulrich, Manuel Petersmann, Thomas Antretter, and Rolf Mahnken. “Transformation Strains for Bainitic Variant Evolution in Steel.” PAMM, 2018, 587–88. https://doi.org/10.1002/pamm.201710263.
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2018 | Journal Article | LibreCat-ID: 24560
Lenz, Peter, Christian Dammann, and Rolf Mahnken. “The Effective Shear Modulus for Ann-Layered Composite Sphere.” PAMM, 2018, 609–10. https://doi.org/10.1002/pamm.201710274.
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2018 | Journal Article | LibreCat-ID: 24428
Cheng, C., and Rolf Mahnken. “A Multi-Mechanism Model for Cutting Simulation: A Ginzburg-Landau Type Phase Gradient and Numerical Implementations.” International Journal of Solids and Structures, 2018, 1–17. https://doi.org/10.1016/j.ijsolstr.2018.10.007.
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2018 | Journal Article | LibreCat-ID: 19124
Penner, Eduard, Ismail Caylak, Alex Dridger, and Rolf Mahnken. “Possibilistic and Stochastic Analysis Using for Rubber‐like Materials.” PAMM, 2018. https://doi.org/10.1002/pamm.201800153.
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