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250 Publications
2024 | Journal Article | LibreCat-ID: 52217
A. Hamdoun and R. Mahnken, “Experimental investigations of uniaxial and biaxial cold stretching within PC‐films and bars using optical measurements,” PAMM, 2024, doi: 10.1002/pamm.202300114.
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2024 | Journal Article | LibreCat-ID: 52218
P. Lenz and R. Mahnken, “Multiscale simulation of polymer curing of composites combined mean-field homogenisation methods at large strains,” International Journal of Solids and Structures, vol. 290, Art. no. 112642, 2024, doi: 10.1016/j.ijsolstr.2023.112642.
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2024 | Journal Article | LibreCat-ID: 52233
R. Mahnken and H. Westermann, “Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods,” Computational Mechanics, 2024, doi: 10.1007/s00466-024-02442-y.
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2023 | Journal Article | LibreCat-ID: 42165
E. Penner, I. Caylak, and R. 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, doi: 10.1007/s12221-023-00122-x.
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2023 | Journal Article | LibreCat-ID: 43095
P. Lenz and R. Mahnken, “Non-local integral-type damage combined to mean-field homogenization methods for composites and its parallel implementation,” Composite Structures, Art. no. 116911, 2023, doi: 10.1016/j.compstruct.2023.116911.
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2023 | Journal Article | LibreCat-ID: 44888
P. Lenz and R. Mahnken, “Thermo‐chemo‐mechanical modelling of a curing process combined with mean‐field homogenization methods at large strains,” PAMM, vol. 22, no. 1, 2023, doi: 10.1002/pamm.202200214.
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2023 | Preprint | LibreCat-ID: 44887
C. Cheng, C. Song, R. Mahnken, Z. Yuan, L. Yu, and X. 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
H. Westermann and R. Mahnken, “A thermodynamic framework for the phase‐field approach considering carbide precipitation during phase transformations,” PAMM, vol. 22, no. 1, 2023, doi: 10.1002/pamm.202200080.
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2023 | Journal Article | LibreCat-ID: 44892
A. Hamdoun and R. Mahnken, “A finite strain gradient theory for viscoplasticity by means of micromorphic regularization,” PAMM, vol. 22, no. 1, 2023, doi: 10.1002/pamm.202200074.
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2023 | Journal Article | LibreCat-ID: 44890
A. Tchomgue Simeu and R. Mahnken, “Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field homogenization methods in elasto‐plasticity,” PAMM, vol. 22, no. 1, 2023, doi: 10.1002/pamm.202200053.
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2023 | Journal Article | LibreCat-ID: 45757
R. Mahnken, “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, doi: 10.1007/s00466-023-02347-2.
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2023 | Conference Paper | LibreCat-ID: 46762
A. Tchomgue Simeu and R. Mahnken, “Mesh- and model adaptivity for elasto-plastic mean-field and full-field homogenization based on downwind and upwind approximations,” 2023, doi: 10.23967/admos.2023.054.
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2023 | Journal Article | LibreCat-ID: 48464
H. Westermann and R. Mahnken, “Numerical investigations of new low‐order explicit last stage diagonal implicit Runge–Kutta schemes with the finite‐element method,” PAMM, vol. 23, no. 2, 2023, doi: 10.1002/pamm.202300071.
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2023 | Journal Article | LibreCat-ID: 48465
H. Westermann and R. 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, vol. 418, Art. no. 116545, 2023, doi: 10.1016/j.cma.2023.116545.
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2023 | Journal Article | LibreCat-ID: 48673
P. Lenz, P. Kreutzheide, and R. Mahnken, “Multiphase elasto-plastic mean-field homogenisation and its consistent linearisation,” Computers & Structures, vol. 290, Art. no. 107160, 2023, doi: 10.1016/j.compstruc.2023.107160.
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2023 | Journal Article | LibreCat-ID: 49866
A. Tchomgue Simeu and R. Mahnken, “Downwind and upwind approximations for mesh and model adaptivity of elasto‐plastic composites,” PAMM, 2023, doi: 10.1002/pamm.202300136.
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2023 | Journal Article | LibreCat-ID: 52219
A. Börger and R. Mahnken, “A micropolar model accounting for asymmetric behavior of cold‐box sand in relation to tensile and compression tests,” PAMM, 2023, doi: 10.1002/pamm.202300126.
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2022 | Journal Article | LibreCat-ID: 31185
X. Ju, R. Mahnken, Y. Xu, L. Liang, C. Cheng, and W. Zhou, “Multiscale analysis of composite structures with goal-oriented mesh adaptivity and reduced order homogenization,” Composite Structures, Art. no. 115699, 2022, doi: 10.1016/j.compstruct.2022.115699.
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2022 | Journal Article | LibreCat-ID: 30656
R. Mahnken, “Strain mode-dependent weighting functions in hyperelasticity accounting for verification, validation, and stability of material parameters,” Archive of Applied Mechanics, vol. 92, no. 3, pp. 713–754, 2022, doi: 10.1007/s00419-021-02069-y.
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2022 | Journal Article | LibreCat-ID: 30655
X. Ju, R. Mahnken, Y. Xu, and L. Liang, “Goal-oriented error estimation and h-adaptive finite elements for hyperelastic micromorphic continua,” Computational Mechanics, vol. 69, no. 3, pp. 847–863, 2022, doi: 10.1007/s00466-021-02117-y.
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2022 | Journal Article | LibreCat-ID: 30657
A. Henkes, H. Wessels, and R. Mahnken, “Physics informed neural networks for continuum micromechanics,” Computer Methods in Applied Mechanics and Engineering, vol. 393, Art. no. 114790, 2022, doi: 10.1016/j.cma.2022.114790.
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2022 | Journal Article | LibreCat-ID: 34074
R. Mahnken and J. Mirzapour, “A statistically based strain energy function for polymer chains in rubber elasticity,” Archive of Applied Mechanics, vol. 92, no. 11, pp. 3295–3323, 2022, doi: 10.1007/s00419-022-02237-8.
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2022 | Journal Article | LibreCat-ID: 41485
R. Clemens, E. Barth, E. Uhlmann, Y. Zhan, I. Caylak, and R. 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, doi: 10.2139/ssrn.4259246.
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2022 | Journal Article | LibreCat-ID: 32592
X. Ju, R. 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, vol. 398, Art. no. 115199, 2022, doi: 10.1016/j.cma.2022.115199.
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2022 | Journal Article | LibreCat-ID: 34075
E. Penner, I. Caylak, and R. Mahnken, “A polymorphic uncertainty model for the curing process of transversely fiber-reinforced plastics,” Mathematics and Mechanics of Complex Systems, vol. 10, no. 1, pp. 21–50, 2022, doi: 10.2140/memocs.2022.10.21.
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2022 | Journal Article | LibreCat-ID: 33801
R. Mahnken, “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, vol. 401, Art. no. 115553, 2022, doi: 10.1016/j.cma.2022.115553.
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2022 | Journal Article | LibreCat-ID: 23794 | 
H. Westermann, A. Reitz, R. Mahnken, M. Schaper, and O. Grydin, “Microstructure transformations in a press hardening steel during tailored thermo‐mechanical processing,” steel research international, 2022, doi: 10.1002/srin.202100346.
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2021 | Journal Article | LibreCat-ID: 29089
H. Westermann, A. Reitz, R. Mahnken, O. Grydin, and M. Schaper, “Constitutive modeling of viscoplasticity including phase transformations for graded thermo‐mechanical processing,” PAMM, 2021, doi: 10.1002/pamm.202100041.
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2021 | Journal Article | LibreCat-ID: 21708
P. Lenz and R. Mahnken, “Damage simulation of thermo‐chemo‐elasto‐plastic fibre reinforced composites using mean‐field homogenization methods,” PAMM, 2021, doi: 10.1002/pamm.202000265.
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2021 | Journal Article | LibreCat-ID: 24392
E. Penner, I. Caylak, and R. Mahnken, “An uncertainty model for the curing process of transversely fiber reinforced plastics,” PAMM, 2021, doi: 10.1002/pamm.202000178.
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2021 | Journal Article | LibreCat-ID: 24384
H. Westermann and R. Mahnken, “Constitutive modeling of dynamic recrystallization coupled to viscoplasticity,” PAMM, 2021, doi: 10.1002/pamm.202000186.
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2021 | Journal Article | LibreCat-ID: 24397
A. Henkes, I. Caylak, and R. Mahnken, “A deep learning driven uncertain full‐field homogenization method,” PAMM, 2021, doi: 10.1002/pamm.202000180.
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2021 | Journal Article | LibreCat-ID: 24390
R. Mahnken and H. Westermann, “A non-equilibrium thermodynamic framework for viscoplasticity incorporating dynamic recrystallization at large strains,” International Journal of Plasticity, Art. no. 102988, 2021, doi: 10.1016/j.ijplas.2021.102988.
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2021 | Journal Article | LibreCat-ID: 21681
E. Penner, I. Caylak, R. Mahnken, and A. Dridger, “Fuzzy and stochastic approach applied to rubber like materials,” Safety and Reliability, pp. 1–19, 2021, doi: 10.1080/09617353.2020.1858678.
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2021 | Conference Paper | LibreCat-ID: 24388
H. Westermann and R. Mahnken, “On the Thermodynamics of Dynamic Recrystallization for Viscoplasticity at Large Strains,” 2021, doi: 10.23967/wccm-eccomas.2020.261.
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2021 | Journal Article | LibreCat-ID: 23431
C. Cheng et al., “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, vol. 224, Art. no. 109209, 2021, doi: 10.1016/j.compositesb.2021.109209.
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2021 | Journal Article | LibreCat-ID: 27774
P. Lenz and R. 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, Art. no. 111266, 2021, doi: 10.1016/j.ijsolstr.2021.111266.
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2021 | Journal Article | LibreCat-ID: 29088
X. Ju, R. 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, Art. no. 111103, 2021, doi: 10.1016/j.ijsolstr.2021.111103.
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2021 | Journal Article | LibreCat-ID: 24376
A. Henkes, I. Caylak, and R. Mahnken, “A deep learning driven pseudospectral PCE based FFT homogenization algorithm for complex microstructures,” Computer Methods in Applied Mechanics and Engineering, Art. no. 114070, 2021, doi: 10.1016/j.cma.2021.114070.
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2021 | Journal Article | LibreCat-ID: 29085
C. Cheng and R. Mahnken, “A modified Zerilli–Armstrong model as the asymmetric visco-plastic part of a multi-mechanism model for cutting simulations,” Archive of Applied Mechanics, pp. 3869–3888, 2021, doi: 10.1007/s00419-021-01982-6.
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2021 | Journal Article | LibreCat-ID: 29092
X. Ju, R. Mahnken, L. Liang, and Y. Xu, “Goal-oriented mesh adaptivity for inverse problems in linear micromorphic elasticity,” Computers & Structures, Art. no. 106671, 2021, doi: 10.1016/j.compstruc.2021.106671.
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2021 | Journal Article | LibreCat-ID: 29090
P. Lenz and R. Mahnken, “Integral‐type non‐local damage simulation of composites using mean‐field homogenization methods,” PAMM, 2021, doi: 10.1002/pamm.202100081.
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2021 | Journal Article | LibreCat-ID: 29091
A. Henkes, H. Wessels, and R. Mahnken, “Physics informed neural networks for continuum micromechanics,” PAMM, 2021, doi: 10.1002/pamm.202100040.
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2020 | Journal Article | LibreCat-ID: 24374
I. Caylak, E. Penner, and R. Mahnken, “Mean-field and full-field homogenization with polymorphic uncertain geometry and material parameters,” Computer Methods in Applied Mechanics and Engineering, Art. no. 113439, 2020, doi: 10.1016/j.cma.2020.113439.
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2019 | Journal Article | LibreCat-ID: 13807
X. Ju and R. Mahnken, “‘Goal-oriented adaptivity on mean-field and full-field homogenization methods considering hierarchical unit cells,’” PAMM, vol. 19.
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2019 | Journal Article | LibreCat-ID: 13813
P. Lenz and R. Mahnken, “‘Damage simulation of fiber reinforced composites using mean-field homogenization methods’ ,” PAMM, vol. 19, 2019.
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2019 | Journal Article | LibreCat-ID: 19122
E. Penner, I. Caylak, A. Dridger, and R. Mahnken, “A polynomial chaos expanded hybrid fuzzy-stochastic model for transversely fiber reinforced plastics,” Mathematics and Mechanics of Complex Systems, pp. 99–129, 2019, doi: 10.2140/memocs.2019.7.99.
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2019 | Journal Article | LibreCat-ID: 19120
I. Caylak, E. Penner, and R. Mahnken, “A fuzzy uncertainty model for analytical and numerical homogenization of transversely fiber reinforced plastics,” PAMM, 2019, doi: 10.1002/pamm.201900356.
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2019 | Journal Article | LibreCat-ID: 24429
X. Ju and R. Mahnken, “Model adaptivity on mean‐field and full‐field homogenization methods considering hierarchical unit cells,” PAMM, 2019, doi: 10.1002/pamm.201900177.
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2019 | Journal Article | LibreCat-ID: 19424
P. Lenz and R. Mahnken, “Damage simulation of fiber reinforced composites using mean‐field homogenization methods,” PAMM, 2019, doi: 10.1002/pamm.201900370.
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2019 | Dissertation | LibreCat-ID: 42187
K.-U. Widany, Adaptive Finite Element Methods for Direct and Inverse Problems in Nonlinear Solid Mechanics. Shaker, 2019.
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2019 | Dissertation | LibreCat-ID: 42190
C. Damman, Experimental Characterization and Constitutive Modeling of Reinforced Thermoplastic and Thermosetting Polymers. Shaker, 2019.
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2019 | Dissertation | LibreCat-ID: 42191
X. Ju, Adaptive Methods in the Mechanics of Heterogeneous Materials. 2019.
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2019 | Dissertation | LibreCat-ID: 42188
C. Cheng, 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
M. Düsing and R. Mahnken, “„A coupled phase field/diffusion model for upper and lower bainitic transformation”,” International Journal of Solids and Structures, vol. 135, pp. 172–183, 2018.
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2018 | Dissertation | LibreCat-ID: 9931
M. Düsing, „Simulation of bainitic transformation with the phase field method“. . 2018.
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2018 | Journal Article | LibreCat-ID: 10009
I. Caylak, A. Dridger, and R. Mahnken, “‘Stochastic hyperelastic modeling considering dependency of material parameters,’” Computational Mechanics, vol. 62, no. 6, pp. 1273–1285, 2018.
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2018 | Conference Paper | LibreCat-ID: 10097
X. Ju 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, Bad Herrenalb, 2018.
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2018 | Conference Paper | LibreCat-ID: 10098
A. Dridger, 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 , New York, 2018.
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2018 | Conference Paper | LibreCat-ID: 10099
P. Lenz and R. M, “„Mean-field homogenization of multi-layered thermo-chemo-elastic composites including damage“,” in 31st International Workshop on Research in Mechnanics of Composite, Bad Herrenalb, 2018.
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2018 | Journal Article | LibreCat-ID: 19426
R. Mahnken, P. Lenz, and C. Dammann, “A least squares approach for effective shear properties in an $${{\varvec{n}}}$$ n -layered sphere model,” Archive of Applied Mechanics, pp. 2081–2099, 2018, doi: 10.1007/s00419-018-1431-5.
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2018 | Journal Article | LibreCat-ID: 21709
C. Dammann, R. Mahnken, and P. Lenz, “Derivation of an n-layered composite sphere model for thermo-chemo-mechanical effective properties,” PAMM, pp. 581–582, 2018, doi: 10.1002/pamm.201710260.
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2018 | Journal Article | LibreCat-ID: 24559
U. Ehlenbröker, M. Petersmann, T. Antretter, and R. Mahnken, “Transformation strains for bainitic variant evolution in steel,” PAMM, pp. 587–588, 2018, doi: 10.1002/pamm.201710263.
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2018 | Journal Article | LibreCat-ID: 24560
P. Lenz, C. Dammann, and R. Mahnken, “The effective shear modulus for ann-layered composite sphere,” PAMM, pp. 609–610, 2018, doi: 10.1002/pamm.201710274.
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2018 | Journal Article | LibreCat-ID: 24428
C. Cheng and R. Mahnken, “A multi-mechanism model for cutting simulation: A Ginzburg-Landau type phase gradient and numerical implementations,” International Journal of Solids and Structures, pp. 1–17, 2018, doi: 10.1016/j.ijsolstr.2018.10.007.
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2018 | Journal Article | LibreCat-ID: 19124
E. Penner, I. Caylak, A. Dridger, and R. Mahnken, “Possibilistic and stochastic analysis using for rubber‐like materials,” PAMM, 2018, doi: 10.1002/pamm.201800153.
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2018 | Journal Article | LibreCat-ID: 19307
E. Penner, I. Caylak, and R. Mahnken, “A multivariate stochastic material model with correlated material parameters,” PAMM, pp. 67–68, 2018, doi: 10.1002/pamm.201710020.
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2018 | Journal Article | LibreCat-ID: 15958
C. Zinn et al., “Shear strength and failure behaviour of laser nano-structured and conventionally pre-treated interfaces in intrinsically manufactured CFRP-steel hybrids,” Composites Part B: Engineering, pp. 173–185, 2018, doi: 10.1016/j.compositesb.2018.05.030.
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2017 | Journal Article | LibreCat-ID: 9862 |
R. Mahnken, “‘A variational formulation for fuzzy analysis in continuum mechanics,’” Mathematics and Mechanics of complex systems, vol. 5, no. 3–4, 2017.
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2017 | Book Chapter | LibreCat-ID: 9872
R. Mahnken, “,,Identification of Material Parameters for Constitutive Equations “,” in Encyclopedia of Computational Mechanics, 2nd ed., vol. 4, E. Stein, R. de Borst, and T. J. R. Hughes, Eds. John Wiley & Sons, 2017, p. 1165.
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2017 | Conference Paper | LibreCat-ID: 9941
A. Dridger, I. Caylak, and R. Mahnken, “‘A POSSIBILISTIC APPROACH FOR LINEAR ISOTROPIC ELASTICITY USING THE FUZZY FINITE ELEMENT METHOD,’” in Proceedings of the 2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering (UNCECOMP 2017), 2017.
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2017 | Conference Paper | LibreCat-ID: 10008
E. Penner, I. Caylak, and R. Mahnken, “‘Fuzzy and stochastic analysis of rubber like materials,’” in Proceedings of the 2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering, Rhode Island, 15.-17.06.2017, Rhode Island, 2017, pp. 554–564.
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2017 | Conference Paper | LibreCat-ID: 19309
E. Penner, I. Caylak, and R. Mahnken, “MULTIDIMENSIONAL STOCHASTIC MATERIAL MODELING AT LARGE DEFORMATIONS CONSIDERING PARAMETER CORRELATIONS,” 2017, doi: 10.7712/120217.5391.16785.
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2017 | Journal Article | LibreCat-ID: 19423
R. Mahnken, C. Dammann, and P. Lenz, “(n)- AND (n + 1)-LAYERED COMPOSITE SPHERE MODELS FOR THERMO-CHEMO-MECHANICAL EFFECTIVE PROPERTIES,” International Journal for Multiscale Computational Engineering, pp. 295–322, 2017, doi: 10.1615/intjmultcompeng.2017020304.
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