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269 Publications
2024 | Journal Article | LibreCat-ID: 52217
Hamdoun, Ayoub, and Rolf Mahnken. “Experimental Investigations of Uniaxial and Biaxial Cold Stretching within PC‐films and Bars Using Optical Measurements.” PAMM, 2024. https://doi.org/10.1002/pamm.202300114.
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2024 | Journal Article | LibreCat-ID: 52218
Lenz, Peter, and Rolf Mahnken. “Multiscale Simulation of Polymer Curing of Composites Combined Mean-Field Homogenisation Methods at Large Strains.” International Journal of Solids and Structures 290 (2024). https://doi.org/10.1016/j.ijsolstr.2023.112642.
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2024 | Journal Article | LibreCat-ID: 52233
Mahnken, Rolf, and Hendrik Westermann. “Construction of A-Stable Explicit Last-Stage Diagonal Implicit Runge–Kutta (ELDIRK) Methods.” Computational Mechanics, 2024. https://doi.org/10.1007/s00466-024-02442-y.
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2023 | Journal Article | LibreCat-ID: 42165
Penner, Eduard, Ismail Caylak, and Rolf Mahnken. “Experimental Investigations of Carbon Fiber Reinforced Polymer Composites and Their Constituents to Determine Their Elastic Material Properties and Complementary Inhomogeneous Experiments with Local Strain Considerations.” Fibers and Polymers, 2023. https://doi.org/10.1007/s12221-023-00122-x.
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2023 | Journal Article | LibreCat-ID: 43095
Lenz, Peter, and Rolf Mahnken. “Non-Local Integral-Type Damage Combined to Mean-Field Homogenization Methods for Composites and Its Parallel Implementation.” Composite Structures, 2023. https://doi.org/10.1016/j.compstruct.2023.116911.
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2023 | Journal Article | LibreCat-ID: 44888
Lenz, Peter, and Rolf Mahnken. “Thermo‐chemo‐mechanical Modelling of a Curing Process Combined with Mean‐field Homogenization Methods at Large Strains.” PAMM 22, no. 1 (2023). https://doi.org/10.1002/pamm.202200214.
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2023 | Preprint | LibreCat-ID: 44887
Cheng, Chun, Chunlei Song, Rolf Mahnken, Zhipeng Yuan, Liang Yu, and Xiaozhe Ju. “A Non-Linear Mean-Field Debonding Model at Large Strains for the Analysis of Fibre Kinking in Ud Composites.” Elsevier BV, 2023.
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2023 | Journal Article | LibreCat-ID: 44891
Westermann, Hendrik, and Rolf Mahnken. “A Thermodynamic Framework for the Phase‐field Approach Considering Carbide Precipitation during Phase Transformations.” PAMM 22, no. 1 (2023). https://doi.org/10.1002/pamm.202200080.
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2023 | Journal Article | LibreCat-ID: 44892
Hamdoun, Ayoub, and Rolf Mahnken. “A Finite Strain Gradient Theory for Viscoplasticity by Means of Micromorphic Regularization.” PAMM 22, no. 1 (2023). https://doi.org/10.1002/pamm.202200074.
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2023 | Journal Article | LibreCat-ID: 44890
Tchomgue Simeu, Arnold, and Rolf Mahnken. “Goal‐oriented Adaptivity Based on a Model Hierarchy of Mean‐field and Full‐field Homogenization Methods in Elasto‐plasticity.” PAMM 22, no. 1 (2023). https://doi.org/10.1002/pamm.202200053.
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2023 | Journal Article | LibreCat-ID: 45757
Mahnken, Rolf. “Derivation of Third Order Runge–Kutta Methods (ELDIRK) by Embedding of Lower Order Implicit Time Integration Schemes for Local and Global Error Estimation.” Computational Mechanics, 2023. https://doi.org/10.1007/s00466-023-02347-2.
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2023 | Conference Paper | LibreCat-ID: 46762
Tchomgue Simeu, Arnold, and Rolf Mahnken. “Mesh- and Model Adaptivity for Elasto-Plastic Mean-Field and Full-Field Homogenization Based on Downwind and Upwind Approximations.” In XI International Conference on Adaptive Modeling and Simulation. CIMNE, 2023. https://doi.org/10.23967/admos.2023.054.
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2023 | Journal Article | LibreCat-ID: 48464
Westermann, Hendrik, and Rolf Mahnken. “Numerical Investigations of New Low‐order Explicit Last Stage Diagonal Implicit Runge–Kutta Schemes with the Finite‐element Method.” PAMM 23, no. 2 (2023). https://doi.org/10.1002/pamm.202300071.
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2023 | Journal Article | LibreCat-ID: 48465
Westermann, Hendrik, and Rolf Mahnken. “On the Accuracy, Stability and Computational Efficiency of Explicit Last-Stage Diagonally Implicit Runge–Kutta Methods (ELDIRK) for the Adaptive Solution of Phase-Field Problems.” Computer Methods in Applied Mechanics and Engineering 418 (2023). https://doi.org/10.1016/j.cma.2023.116545.
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2023 | Journal Article | LibreCat-ID: 48673
Lenz, Peter, Phil Kreutzheide, and Rolf Mahnken. “Multiphase Elasto-Plastic Mean-Field Homogenisation and Its Consistent Linearisation.” Computers & Structures 290 (2023). https://doi.org/10.1016/j.compstruc.2023.107160.
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2023 | Journal Article | LibreCat-ID: 49866
Tchomgue Simeu, Arnold, and Rolf Mahnken. “Downwind and Upwind Approximations for Mesh and Model Adaptivity of Elasto‐plastic Composites.” PAMM, 2023. https://doi.org/10.1002/pamm.202300136.
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2023 | Journal Article | LibreCat-ID: 52219
Börger, Alexander, and Rolf Mahnken. “A Micropolar Model Accounting for Asymmetric Behavior of Cold‐box Sand in Relation to Tensile and Compression Tests.” PAMM, 2023. https://doi.org/10.1002/pamm.202300126.
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2023 | Dissertation | LibreCat-ID: 52649
Penner, Eduard. Polymorphic Uncertainty in Constitutive Modeling of Polymer Composites at Different Scales. Shaker Verlag, 2023. https://doi.org/10.2370/9783844093322.
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2022 | Journal Article | LibreCat-ID: 31185
Ju, Xiaozhe, Rolf Mahnken, Yangjian Xu, Lihua Liang, Chun Cheng, and Wangmin Zhou. “Multiscale Analysis of Composite Structures with Goal-Oriented Mesh Adaptivity and Reduced Order Homogenization.” Composite Structures, 2022. https://doi.org/10.1016/j.compstruct.2022.115699.
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2022 | Journal Article | LibreCat-ID: 30656
Mahnken, Rolf. “Strain Mode-Dependent Weighting Functions in Hyperelasticity Accounting for Verification, Validation, and Stability of Material Parameters.” Archive of Applied Mechanics 92, no. 3 (2022): 713–54. https://doi.org/10.1007/s00419-021-02069-y.
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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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