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252 Publications
2021 | Journal Article | LibreCat-ID: 27774
Lenz, P., & Mahnken, R. (2021). 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, Article 111266. https://doi.org/10.1016/j.ijsolstr.2021.111266
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2021 | Journal Article | LibreCat-ID: 29088
Ju, X., Mahnken, R., Xu, Y., Liang, L., & Zhou, W. (2021). A nonuniform transformation field analysis for composites with strength difference effects in elastoplasticity. International Journal of Solids and Structures, Article 111103. https://doi.org/10.1016/j.ijsolstr.2021.111103
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2021 | Journal Article | LibreCat-ID: 24376
Henkes, A., Caylak, I., & Mahnken, R. (2021). A deep learning driven pseudospectral PCE based FFT homogenization algorithm for complex microstructures. Computer Methods in Applied Mechanics and Engineering, Article 114070. https://doi.org/10.1016/j.cma.2021.114070
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2021 | Journal Article | LibreCat-ID: 29085
Cheng, C., & Mahnken, R. (2021). A modified Zerilli–Armstrong model as the asymmetric visco-plastic part of a multi-mechanism model for cutting simulations. Archive of Applied Mechanics, 3869–3888. https://doi.org/10.1007/s00419-021-01982-6
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2021 | Journal Article | LibreCat-ID: 29092
Ju, X., Mahnken, R., Liang, L., & Xu, Y. (2021). Goal-oriented mesh adaptivity for inverse problems in linear micromorphic elasticity. Computers & Structures, Article 106671. https://doi.org/10.1016/j.compstruc.2021.106671
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2021 | Journal Article | LibreCat-ID: 29090
Lenz, P., & Mahnken, R. (2021). Integral‐type non‐local damage simulation of composites using mean‐field homogenization methods. PAMM. https://doi.org/10.1002/pamm.202100081
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| DOI
2021 | Journal Article | LibreCat-ID: 29091
Henkes, A., Wessels, H., & Mahnken, R. (2021). Physics informed neural networks for continuum micromechanics. PAMM. https://doi.org/10.1002/pamm.202100040
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2020 | Journal Article | LibreCat-ID: 24374
Caylak, I., Penner, E., & Mahnken, R. (2020). Mean-field and full-field homogenization with polymorphic uncertain geometry and material parameters. Computer Methods in Applied Mechanics and Engineering, Article 113439. https://doi.org/10.1016/j.cma.2020.113439
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2019 | Journal Article | LibreCat-ID: 13431
Dridger, A., Caylak, I., Mahnken, R., & Penner, E. (2019). “A possibilistic finite element method for sparse data.” Safety and Reliability, 58–82. https://doi.org/10.1080/09617353.2018.1552477
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| DOI
2019 | Journal Article | LibreCat-ID: 13432
Ju, X., & Mahnken, R. (2019). “Goal-oriented h-type adaptive finite elements for micromorphic elastoplasticity.” Computer Methods in Applied Mechanics and Engineering, 297–329. https://doi.org/10.1016/j.cma.2019.01.031
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| DOI
2019 | Journal Article | LibreCat-ID: 13434
Mäck, M., Caylak, I., Edler, P., Freitag, S., Hanss, M., Mahnken, R., … Penner, E. (2019). “Optimization with constraints considering polymorphic uncertainties.” GAMM-Mitteilungen. https://doi.org/10.1002/gamm.201900005
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2019 | Journal Article | LibreCat-ID: 13805
Mahnken, R., & Ju, X. (2019). 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. https://doi.org/10.1002/nme.6209
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2019 | Journal Article | LibreCat-ID: 13806
Dammann, C., & Mahnken, R. (2019). 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, 147–160. https://doi.org/10.1016/j.compositesa.2019.02.022
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| DOI
2019 | Journal Article | LibreCat-ID: 13807
Ju, X., & Mahnken, R. (n.d.). “Goal-oriented adaptivity on mean-field and full-field homogenization methods considering hierarchical unit cells.” PAMM, 19.
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2019 | Journal Article | LibreCat-ID: 13813
Lenz, P., & Mahnken, R. (2019). “Damage simulation of fiber reinforced composites using mean-field homogenization methods” . PAMM, 19.
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2019 | Journal Article | LibreCat-ID: 19122
Penner, E., Caylak, I., Dridger, A., & Mahnken, R. (2019). A polynomial chaos expanded hybrid fuzzy-stochastic model for transversely fiber reinforced plastics. Mathematics and Mechanics of Complex Systems, 99–129. https://doi.org/10.2140/memocs.2019.7.99
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2019 | Journal Article | LibreCat-ID: 19120
Caylak, I., Penner, E., & Mahnken, R. (2019). A fuzzy uncertainty model for analytical and numerical homogenization of transversely fiber reinforced plastics. PAMM. https://doi.org/10.1002/pamm.201900356
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2019 | Journal Article | LibreCat-ID: 24429
Ju, X., & Mahnken, R. (2019). Model adaptivity on mean‐field and full‐field homogenization methods considering hierarchical unit cells. PAMM. https://doi.org/10.1002/pamm.201900177
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2019 | Journal Article | LibreCat-ID: 19424
Lenz, P., & Mahnken, R. (2019). Damage simulation of fiber reinforced composites using mean‐field homogenization methods. PAMM. https://doi.org/10.1002/pamm.201900370
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2019 | Book | LibreCat-ID: 19326
Mahnken, R. (2019). Lehrbuch der Technischen Mechanik - Band 2: Elastostatik. https://doi.org/10.1007/978-3-662-58166-7
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2019 | Dissertation | LibreCat-ID: 42187
Widany, K.-U. (2019). Adaptive Finite Element Methods for Direct and Inverse Problems in Nonlinear Solid Mechanics. Shaker.
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2019 | Dissertation | LibreCat-ID: 42190
Damman, C. (2019). Experimental Characterization and Constitutive Modeling of Reinforced Thermoplastic and Thermosetting Polymers. Shaker.
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2019 | Dissertation | LibreCat-ID: 42191
Ju, X. (2019). Adaptive Methods in the Mechanics of Heterogeneous Materials.
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2019 | Dissertation | LibreCat-ID: 42188
Cheng, C. (2019). A multi-mechanism model for cutting simulations combining asymmetric effects and gradient phase transformations.
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2018 | Journal Article | LibreCat-ID: 9899
Düsing, M., & Mahnken, R. (2018). „A coupled phase field/diffusion model for upper and lower bainitic transformation”. International Journal of Solids and Structures, 135, 172–183.
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2018 | Dissertation | LibreCat-ID: 9931
Düsing, M. (2018). „Simulation of bainitic transformation with the phase field method“. .
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2018 | Journal Article | LibreCat-ID: 9933
Mahnken, R., Lenz, P., & Dammann, C. (2018). “A least squares approach for effective shear properties in an n-layered sphere model.” Archive of Applied Mechanics, 2081–2099. https://doi.org/10.1007/s00419-018-1431-5
LibreCat
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2018 | Journal Article | LibreCat-ID: 9934
Dammann, C., Caylak, I., & Mahnken, R. (2018). “Sequential biaxial stretching of polycarbonate-films for characterization of strain-induced anisotropy.” GAMM-Mitteilungen. https://doi.org/10.1002/gamm.201800003
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2018 | Journal Article | LibreCat-ID: 9935
Penner, E., Caylak, I., & Mahnken, R. (2018). A multivariate stochastic material model with correlated material parameters. PAMM, 67–68. https://doi.org/10.1002/pamm.201710020
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2018 | Journal Article | LibreCat-ID: 9936
Ju, X., & Mahnken, R. (2018). “Error-controlled homogenization for a class of linear elastic composite problems.” PAMM, 601–602. https://doi.org/10.1002/pamm.201710270
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2018 | Journal Article | LibreCat-ID: 9937
Düsing, M., & Mahnken, R. (2018). “A coupled phase transformation and solute diffusion model for bainitic transformation.” PAMM, 505–506. https://doi.org/10.1002/pamm.201710222
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 9940
Dridger, A., Caylak, I., & Mahnken, R. (2018). “A fuzzy finite element method for sparse experimental data based on a possibilistic approach.” PAMM, 55–56. https://doi.org/10.1002/pamm.201710016
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 9996
Ju, X., & Mahnken, R. (2018). “Goal-oriented adaptivity for parameter identification in linear micromorphic elasticity.” PAMM. https://doi.org/10.1002/pamm.201800098
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| DOI
2018 | Journal Article | LibreCat-ID: 10005
Ju, X., & Mahnken, R. (2018). Goal-oriented adaptivity for linear elastic micromorphic continua based on primal and adjoint consistency analysis. International Journal for Numerical Methods in Engineering, 472–473. https://doi.org/10.1002/nme.5996
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| DOI
2018 | Journal Article | LibreCat-ID: 10009
Caylak, I., Dridger, A., & Mahnken, R. (2018). “Stochastic hyperelastic modeling considering dependency of material parameters.” Computational Mechanics, 62(6), 1273–1285.
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2018 | Conference Paper | LibreCat-ID: 10097
Ju, X., & Mahnken, R. (2018). „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.
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2018 | Conference Paper | LibreCat-ID: 10098
Dridger, A., Caylak, I., Mahnken, R., & Penner, E. (2018). „On the connection between possibility theory and probability box theory in structural mechanics“. In 13th World Congress in Computational Mechanics . New York.
LibreCat
2018 | Conference Paper | LibreCat-ID: 10099
Lenz, P., & M, R. (2018). „Mean-field homogenization of multi-layered thermo-chemo-elastic composites including damage“. In 31st International Workshop on Research in Mechnanics of Composite. Bad Herrenalb.
LibreCat
2018 | Journal Article | LibreCat-ID: 10100
Penner, E., Caylak, I., Dridger, A., & Mahnken, R. (2018). “Possibilistic and stochastic analysis using for rubber-like materials.” PAMM. https://doi.org/10.1002/pamm.201800153
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 10109
Caylak, I., Penner, E., Dridger, A., & Mahnken, R. (2018). “A fuzzy-stochastic model for transversely fiber reinforced plastics.” PAMM. https://doi.org/10.1002/pamm.201800121
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| DOI
2018 | Journal Article | LibreCat-ID: 13808
Düsing, M., & Mahnken, R. (2018). “Simulation of upper and lower bainitic transformation with a coupled phase field/diffusion/deformation framework.” PAMM, 18. https://doi.org/10.1002/pamm.201800180
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 13814
Düsing, M., & Mahnken, R. (2018). A coupled phase field/diffusional/mechanical framework for simulation of upper and lower bainitic transformation. International Journal of Solids and Structures, 162, 45–59. https://doi.org/10.1016/j.ijsolstr.2018.11.027
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 19426
Mahnken, R., Lenz, P., & Dammann, C. (2018). A least squares approach for effective shear properties in an $${{\varvec{n}}}$$ n -layered sphere model. Archive of Applied Mechanics, 2081–2099. https://doi.org/10.1007/s00419-018-1431-5
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 21709
Dammann, C., Mahnken, R., & Lenz, P. (2018). Derivation of an n-layered composite sphere model for thermo-chemo-mechanical effective properties. PAMM, 581–582. https://doi.org/10.1002/pamm.201710260
LibreCat
| DOI
2018 | Book Chapter | LibreCat-ID: 24526
Dridger, A., & Mahnken, R. (2018). Unschärfe in der Simulation im Kontext von Sicherheitsdiskursen. In Wissenschaft im Angesicht »großer gesellschaftlicher Herausforderungen«. https://doi.org/10.14361/9783839440995-003
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2018 | Journal Article | LibreCat-ID: 24559
Ehlenbröker, U., Petersmann, M., Antretter, T., & Mahnken, R. (2018). Transformation strains for bainitic variant evolution in steel. PAMM, 587–588. https://doi.org/10.1002/pamm.201710263
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| DOI
2018 | Journal Article | LibreCat-ID: 24560
Lenz, P., Dammann, C., & Mahnken, R. (2018). The effective shear modulus for ann-layered composite sphere. PAMM, 609–610. https://doi.org/10.1002/pamm.201710274
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| DOI
2018 | Journal Article | LibreCat-ID: 24428
Cheng, C., & Mahnken, R. (2018). A multi-mechanism model for cutting simulation: A Ginzburg-Landau type phase gradient and numerical implementations. International Journal of Solids and Structures, 1–17. https://doi.org/10.1016/j.ijsolstr.2018.10.007
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| DOI
2018 | Journal Article | LibreCat-ID: 19124
Penner, E., Caylak, I., Dridger, A., & Mahnken, R. (2018). Possibilistic and stochastic analysis using for rubber‐like materials. PAMM. https://doi.org/10.1002/pamm.201800153
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 19307
Penner, E., Caylak, I., & Mahnken, R. (2018). A multivariate stochastic material model with correlated material parameters. PAMM, 67–68. https://doi.org/10.1002/pamm.201710020
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| DOI