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250 Publications
2013 | Journal Article | LibreCat-ID: 24715
R. Mahnken, “Goal-oriented adaptive refinement for phase field modeling with finite elements,” International Journal for Numerical Methods in Engineering, pp. 418–440, 2013, doi: 10.1002/nme.4464.
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2013 | Journal Article | LibreCat-ID: 24709
R. Mahnken and C. Dammann, “Simulation of strain-induced anisotropy for polymers with weighting functions,” Archive of Applied Mechanics, pp. 21–41, 2013, doi: 10.1007/s00419-013-0780-3.
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2013 | Journal Article | LibreCat-ID: 24712
C. Cheng, R. Mahnken, E. Uhlmann, and I. M. Ivanov, “A Multi-Mechanism Model for Cutting Simulations Combining Visco-plastic Asymmetry and Phase Transformation,” PAMM, pp. 149–150, 2013, doi: 10.1002/pamm.201310070.
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2013 | Dissertation | LibreCat-ID: 42184
K.-H. Sauerland, Phenomenological Process Simulation and Multiscale Tool Simulation Directed to a Hybrid Forming Process. Shaker, 2013.
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2014 | Journal Article | LibreCat-ID: 24708
K.-U. Widany and R. Mahnken, “Approximation of the dual problem for error estimation in inelastic problems,” PAMM, pp. 273–274, 2014, doi: 10.1002/pamm.201410124.
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2014 | Journal Article | LibreCat-ID: 24702
C. Cheng, R. Mahnken, E. Uhlmann, and I. M. Ivanov, “Macroscopic and mesoscopic modeling based on the concept of generalized stresses for cutting simulation,” PAMM, pp. 419–420, 2014, doi: 10.1002/pamm.201410197.
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2014 | Journal Article | LibreCat-ID: 24701
C. Dammann and R. Mahnken, “A macroscopic consitutive model on induced anisotropy for polymers with weighting functions,” PAMM, pp. 387–388, 2014, doi: 10.1002/pamm.201410181.
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2014 | Journal Article | LibreCat-ID: 24707
C. Dammann, I. Caylak, and R. Mahnken, “Experimental Investigation of PC-Films Using Optical Measurements,” International Polymer Processing, pp. 260–271, 2014, doi: 10.3139/217.2848.
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2014 | Journal Article | LibreCat-ID: 28381
H.-P. Heim et al., “Self-Reinforced Thermoplastic Composites - Composite Materials (Part 1),” Kunststoffe international}, vol. 104, pp. 31–35, 2014.
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2014 | Journal Article | LibreCat-ID: 24700
R. Mahnken, A. Schneidt, T. Antretter, U. Ehlenbröker, and M. Wolff, “Multi-scale modeling of bainitic phase transformation in multi-variant polycrystalline low alloy steels,” International Journal of Solids and Structures, pp. 156–171, 2014, doi: 10.1016/j.ijsolstr.2014.10.021.
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2014 | Conference Paper | LibreCat-ID: 24706
C. Dammann and R. Mahnken, “On the simulation of strain induced anisotropy for polymers,” 2014, doi: 10.1063/1.4873891.
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2014 | Journal Article | LibreCat-ID: 24703
R. Mahnken and N. Nörenberg, “Parameter identification for rubber materials with artificial higher dimensional data,” PAMM, pp. 427–428, 2014, doi: 10.1002/pamm.201410201.
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2014 | Journal Article | LibreCat-ID: 24704
U. Ehlenbröker and R. Mahnken, “Bainitic variant evolution in a low-alloyed steel including numerical aspects,” PAMM, pp. 381–382, 2014, doi: 10.1002/pamm.201410178.
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2014 | Journal Article | LibreCat-ID: 28379
H.-P. Heim et al., “Self-Reinforced Thermoplastic Composites - Composite Materials (Part 2),” Kunststoffe international, 2014.
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2014 | Journal Article | LibreCat-ID: 19116
I. Caylak and R. Mahnken, “Stabilized mixed triangular elements with area bubble functions at small and large deformations,” Computers & Structures, pp. 172–182, 2014, doi: 10.1016/j.compstruc.2014.01.006.
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2015 | Journal Article | LibreCat-ID: 24698
C. Cheng and R. Mahnken, “A multi-mechanism model for cutting simulations based on the concept of generalized stresses,” Computational Materials Science, pp. 144–158, 2015, doi: 10.1016/j.commatsci.2014.12.028.
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2015 | Journal Article | LibreCat-ID: 24699
T. Leismann and R. Mahnken, “Comparison of hyperelastic micromorphic, micropolar and microstrain continua,” International Journal of Non-Linear Mechanics, pp. 115–127, 2015, doi: 10.1016/j.ijnonlinmec.2015.08.004.
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2015 | Conference Paper | LibreCat-ID: 32795 | 
R. Mahnken and C. Dammann, “MESOSCOPIC MODELING OF THE RTM PROCESS FOR HOMOGENIZATION,” 2015.
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2015 | Journal Article | LibreCat-ID: 24641
K.-U. Widany and R. Mahnken, “Dual-based adaptive FEM for inelastic problems with standard FE implementations,” International Journal for Numerical Methods in Engineering, pp. 127–154, 2015, doi: 10.1002/nme.5156.
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2015 | Journal Article | LibreCat-ID: 24690
K.-U. Widany and R. Mahnken, “Adaptive FEM with goal-oriented error estimation and an approximation of the dual problem for inelastic problems,” PAMM, pp. 607–608, 2015, doi: 10.1002/pamm.201510293.
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2015 | Journal Article | LibreCat-ID: 19134
A. Dridger, I. Caylak, and R. Mahnken, “Uncertainty quantification for linear elastic bodies with two fluctuating input parameters,” PAMM, pp. 551–552, 2015, doi: 10.1002/pamm.201510266.
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2015 | Journal Article | LibreCat-ID: 24694
M. Düsing and R. Mahnken, “A coupled phase-field - Cahn-Hilliard model for lower bainitic transformation,” PAMM, pp. 285–286, 2015, doi: 10.1002/pamm.201510133.
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2015 | Journal Article | LibreCat-ID: 24695
T. Leismann and R. Mahnken, “Transition from hyperelastic micromorphic to micropolar and microstrain continua,” PAMM, pp. 329–330, 2015, doi: 10.1002/pamm.201510155.
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2015 | Journal Article | LibreCat-ID: 19131
I. Caylak, A. Dridger, and R. Mahnken, “Non-linear Stochastic Finite Element,” PAMM, pp. 179–180, 2015, doi: 10.1002/pamm.201510080.
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2015 | Journal Article | LibreCat-ID: 24697
V. Schulze et al., “Evaluation of different approaches for modeling phase transformations in machining simulation,” Production Engineering, pp. 437–449, 2015, doi: 10.1007/s11740-015-0618-7.
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2015 | Journal Article | LibreCat-ID: 24693
E. Uhlmann, R. Mahnken, I. M. Ivanov, and C. Cheng, “A Novel Finite Element Approach to Modeling Hard Turning in Due Consideration of the Viscoplastic Asymmetry Effect,” Procedia CIRP, pp. 471–476, 2015, doi: 10.1016/j.procir.2015.03.093.
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2015 | Journal Article | LibreCat-ID: 24650
M. Düsing and R. Mahnken, “Simulation of lower bainitic transformation with the phase-field method considering carbide formation,” Computational Materials Science, pp. 91–100, 2015, doi: 10.1016/j.commatsci.2015.08.043.
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2015 | Journal Article | LibreCat-ID: 24696
N. Nörenberg and R. Mahnken, “Parameter identification for rubber materials with artificial spatially distributed data,” Computational Mechanics, pp. 353–370, 2015, doi: 10.1007/s00466-015-1175-9.
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2015 | Conference Paper | LibreCat-ID: 16262
M. Bobbert et al., “Intrinsische Herstellung hybrider Strukturkomponenten in einem modifizierten RTM-Prozess,” presented at the Hybrid-Expo, Stuttgart, 2015.
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2016 | Journal Article | LibreCat-ID: 24644
R. Mahnken, I. Caylak, and A. Dridger, “A Stochastic Finite Element Method with a Deviatoric-volumetric Split for the Stochastic Linear Isotropic Elasticity Tensor,” A Stochastic Finite Element Method with a Deviatoric-volumetric Split for the Stochastic Linear Isotropic Elasticity Tensor, 2016, doi: 10.24352/UB.OVGU-2017-003.
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2016 | Journal Article | LibreCat-ID: 24647
U. Ehlenbröker, R. Mahnken, M. Petersmann, and T. Antretter, “Modeling of variant-interaction during bainitic phase transformation,” IOP Conference Series: Materials Science and Engineering, Art. no. 012016, 2016, doi: 10.1088/1757-899x/119/1/012016.
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2016 | Journal Article | LibreCat-ID: 24642
C. Cheng and R. Mahnken, “Extension of a multi-mechanism model: Hardness-based flow and transformation induced plasticity for austenitization,” International Journal of Solids and Structures, pp. 127–141, 2016, doi: 10.1016/j.ijsolstr.2016.10.010.
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2016 | Journal Article | LibreCat-ID: 26269
A. Schneidt and R. Mahnken, “Macromodelling of Transformation Induced Plasticity combined with Viscoplasticity for Low-Alloy Steels,” steel research international, pp. 116–123, 2016, doi: 10.1002/srin.200806326.
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2016 | Journal Article | LibreCat-ID: 24646
C. Dammann and R. Mahnken, “Determination of effective properties for CFRP curing coupled to viscoleasticity based on a three-scale framework,” PAMM, pp. 517–518, 2016, doi: 10.1002/pamm.201610247.
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2016 | Journal Article | LibreCat-ID: 24645
M. Düsing and R. Mahnken, “A thermodynamic framework for coupled multiphase field and diffusion models for lower bainite transformation,” PAMM, pp. 321–322, 2016, doi: 10.1002/pamm.201610149.
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2016 | Journal Article | LibreCat-ID: 24643
X. Ju and R. Mahnken, “Two accuracy improvements on nonuniform transformation field analysis for plasticity coupled to softening,” PAMM, pp. 527–528, 2016, doi: 10.1002/pamm.201610252.
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2016 | Journal Article | LibreCat-ID: 24652
M. Düsing and R. Mahnken, “A thermodynamic framework for coupled multiphase Ginzburg-Landau/Cahn-Hilliard systems for simulation of lower bainitic transformation,” Archive of Applied Mechanics, pp. 1947–1964, 2016, doi: 10.1007/s00419-016-1161-5.
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2016 | Journal Article | LibreCat-ID: 24651
R. Mahnken and C. Dammann, “A three-scale framework for fibre-reinforced-polymer curing part II: Mesoscopic modeling and macroscopic effective properties,” International Journal of Solids and Structures, pp. 356–375, 2016, doi: 10.1016/j.ijsolstr.2016.09.005.
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2016 | Journal Article | LibreCat-ID: 24655
R. Mahnken and C. Dammann, “A three-scale framework for fibre-reinforced-polymer curing Part I: Microscopic modeling and mesoscopic effective properties,” International Journal of Solids and Structures, pp. 341–355, 2016, doi: 10.1016/j.ijsolstr.2016.09.003.
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2016 | Journal Article | LibreCat-ID: 24654
X. Ju and R. Mahnken, “An NTFA-based homogenization framework considering softening effects,” Mechanics of Materials, pp. 106–125, 2016, doi: 10.1016/j.mechmat.2016.01.007.
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2016 | Journal Article | LibreCat-ID: 24653
R. Mahnken, C. Cheng, M. Düsing, U. Ehlenbröker, and T. Leismann, “The concept of generalized stresses for computational manufacturing and beyond,” GAMM-Mitteilungen, pp. 229–265, 2016, doi: 10.1002/gamm.201610014.
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2016 | Journal Article | LibreCat-ID: 19128
I. Caylak, N. Nörenberg, and R. Mahnken, “PC expansion for material parameters using artificial data and statistical methods,” PAMM, pp. 191–192, 2016, doi: 10.1002/pamm.201610084.
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2016 | Journal Article | LibreCat-ID: 19117
A. Dridger, I. Caylak, and R. Mahnken, “A linear elastic Fuzzy Finite Element Method with two fuzzy input parameters,” PAMM, pp. 667–668, 2016, doi: 10.1002/pamm.201610322.
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2016 | Journal Article | LibreCat-ID: 19127
E. Penner, I. Caylak, N. Nörenberg, and R. Mahnken, “SFEM for rubber-like materials at large deformations,” PAMM, pp. 675–676, 2016, doi: 10.1002/pamm.201610326.
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2016 | Dissertation | LibreCat-ID: 42185
A. Schneidt, Mehrphasige ph ̈anomenologische sowie mehrskalige mikroskopische Modellierung von Phasenumwandlungen in einem Hybridumformprozess. 2016.
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2016 | Journal Article | LibreCat-ID: 24557
R. Kießling et al., “On the Design, Characterization and Simulation of Hybrid Metal-Composite Interfaces,” Applied Composite Materials, pp. 251–269, 2016, doi: 10.1007/s10443-016-9526-z.
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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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2017 | Journal Article | LibreCat-ID: 21710
C. Dammann, P. Lenz, and R. Mahnken, “Thermo-chemo-mechanical Effective Properties for Homogeneous and Heterogeneous n -Phase Mixtures with Application to Curing,” Procedia CIRP, pp. 51–56, 2017, doi: 10.1016/j.procir.2017.03.360.
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2017 | Book | LibreCat-ID: 45108
R. Mahnken, Effective meso properties for fibre reinforced polymer curing. 2017.
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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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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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