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269 Publications
2022 | Journal Article | LibreCat-ID: 30655
Ju, Xiaozhe, Rolf Mahnken, Yangjian Xu, and Lihua Liang. “Goal-Oriented Error Estimation and h-Adaptive Finite Elements for Hyperelastic Micromorphic Continua.” Computational Mechanics 69, no. 3 (2022): 847–63. https://doi.org/10.1007/s00466-021-02117-y.
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2022 | Journal Article | LibreCat-ID: 30657
Henkes, Alexander, Henning Wessels, and Rolf Mahnken. “Physics Informed Neural Networks for Continuum Micromechanics.” Computer Methods in Applied Mechanics and Engineering 393 (2022). https://doi.org/10.1016/j.cma.2022.114790.
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2022 | Journal Article | LibreCat-ID: 34074
Mahnken, Rolf, and Jamil Mirzapour. “A Statistically Based Strain Energy Function for Polymer Chains in Rubber Elasticity.” Archive of Applied Mechanics 92, no. 11 (2022): 3295–3323. https://doi.org/10.1007/s00419-022-02237-8.
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2022 | Journal Article | LibreCat-ID: 41485
Clemens, Robin, Enrico Barth, Eckart Uhlmann, Yingjie Zhan, Ismail Caylak, and Rolf Mahnken. “Effects on Process Forces of Individual Milling Tool Edges Depending on the Cutting Angle and Cutting Speed When Milling Cfrp.” SSRN Electronic Journal, 2022. https://doi.org/10.2139/ssrn.4259246.
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2022 | Journal Article | LibreCat-ID: 32592
Ju, X., Rolf Mahnken, Y. Xu, and L. Liang. “NTFA-Enabled Goal-Oriented Adaptive Space–Time Finite Elements for Micro-Heterogeneous Elastoplasticity Problems.” Computer Methods in Applied Mechanics and Engineering 398 (2022). https://doi.org/10.1016/j.cma.2022.115199.
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2022 | Journal Article | LibreCat-ID: 34075
Penner, Eduard, Ismail Caylak, and Rolf Mahnken. “A Polymorphic Uncertainty Model for the Curing Process of Transversely Fiber-Reinforced Plastics.” Mathematics and Mechanics of Complex Systems 10, no. 1 (2022): 21–50. https://doi.org/10.2140/memocs.2022.10.21.
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2022 | Journal Article | LibreCat-ID: 33801
Mahnken, Rolf. “New Low Order Runge–Kutta Schemes for Asymptotically Exact Global Error Estimation of Embedded Methods without Order Reduction.” Computer Methods in Applied Mechanics and Engineering 401 (2022). https://doi.org/10.1016/j.cma.2022.115553.
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2022 | Journal Article | LibreCat-ID: 23794 | 
Westermann, Hendrik, Alexander Reitz, Rolf Mahnken, Mirko Schaper, and Olexandr Grydin. “Microstructure Transformations in a Press Hardening Steel during Tailored Thermo‐mechanical Processing.” Steel Research International, 2022. https://doi.org/10.1002/srin.202100346.
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2021 | Book Chapter | LibreCat-ID: 29086
Drossel, Welf-G, Mathias Bobbert, Marcus Böhme, Christian Dammann, Axel Dittes, Mina Gießmann, Christian Hühne, et al. “Hybridprofile Für Trag- Und Crashstrukturen.” In Intrinsische Hybridverbunde Für Leichtbautragstrukturen. Berlin, Heidelberg, 2021. https://doi.org/10.1007/978-3-662-62833-1_3.
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2021 | Journal Article | LibreCat-ID: 29089
Westermann, Hendrik, Alexander Reitz, Rolf Mahnken, Olexandr Grydin, and Mirko Schaper. “Constitutive Modeling of Viscoplasticity Including Phase Transformations for Graded Thermo‐mechanical Processing.” PAMM, 2021. https://doi.org/10.1002/pamm.202100041.
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2021 | Journal Article | LibreCat-ID: 21708
Lenz, Peter, and Rolf Mahnken. “Damage Simulation of Thermo‐chemo‐elasto‐plastic Fibre Reinforced Composites Using Mean‐field Homogenization Methods.” PAMM, 2021. https://doi.org/10.1002/pamm.202000265.
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2021 | Journal Article | LibreCat-ID: 24392
Penner, Eduard, Ismail Caylak, and Rolf Mahnken. “An Uncertainty Model for the Curing Process of Transversely Fiber Reinforced Plastics.” PAMM, 2021. https://doi.org/10.1002/pamm.202000178.
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2021 | Journal Article | LibreCat-ID: 24384
Westermann, Hendrik, and Rolf Mahnken. “Constitutive Modeling of Dynamic Recrystallization Coupled to Viscoplasticity.” PAMM, 2021. https://doi.org/10.1002/pamm.202000186.
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2021 | Journal Article | LibreCat-ID: 24397
Henkes, Alexander, Ismail Caylak, and Rolf Mahnken. “A Deep Learning Driven Uncertain Full‐field Homogenization Method.” PAMM, 2021. https://doi.org/10.1002/pamm.202000180.
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2021 | Journal Article | LibreCat-ID: 24390
Mahnken, Rolf, and Hendrik Westermann. “A Non-Equilibrium Thermodynamic Framework for Viscoplasticity Incorporating Dynamic Recrystallization at Large Strains.” International Journal of Plasticity, 2021. https://doi.org/10.1016/j.ijplas.2021.102988.
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2021 | Journal Article | LibreCat-ID: 21681
Penner, Eduard, Ismail Caylak, Rolf Mahnken, and Alex Dridger. “Fuzzy and Stochastic Approach Applied to Rubber like Materials.” Safety and Reliability, 2021, 1–19. https://doi.org/10.1080/09617353.2020.1858678.
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2021 | Conference Paper | LibreCat-ID: 24388
Westermann, Hendrik, and Rolf Mahnken. “On the Thermodynamics of Dynamic Recrystallization for Viscoplasticity at Large Strains.” In 14th WCCM-ECCOMAS Congress, 2021. https://doi.org/10.23967/wccm-eccomas.2020.261.
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2021 | Journal Article | LibreCat-ID: 23431
Cheng, C., Z. Wang, Z. Jin, X. Ju, Swetlana Schweizer, Thomas Tröster, and Rolf Mahnken. “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 224 (2021). https://doi.org/10.1016/j.compositesb.2021.109209.
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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: 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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