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37 Publications


2023 | Journal Article | LibreCat-ID: 42165
Penner E, Caylak I, Mahnken R. 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. Published online 2023. doi:10.1007/s12221-023-00122-x
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2022 | Journal Article | LibreCat-ID: 41485
Clemens R, Barth E, Uhlmann E, Zhan Y, Caylak I, Mahnken R. Effects on Process Forces of Individual Milling Tool Edges Depending on the Cutting Angle and Cutting Speed When Milling Cfrp. SSRN Electronic Journal. Published online 2022. doi:10.2139/ssrn.4259246
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2022 | Journal Article | LibreCat-ID: 34075
Penner E, Caylak I, Mahnken R. A polymorphic uncertainty model for the curing process of transversely fiber-reinforced plastics. Mathematics and Mechanics of Complex Systems. 2022;10(1):21-50. doi:10.2140/memocs.2022.10.21
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2021 | Journal Article | LibreCat-ID: 24392
Penner E, Caylak I, Mahnken R. An uncertainty model for the curing process of transversely fiber reinforced plastics. PAMM. Published online 2021. doi:10.1002/pamm.202000178
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2021 | Journal Article | LibreCat-ID: 24397
Henkes A, Caylak I, Mahnken R. A deep learning driven uncertain full‐field homogenization method. PAMM. Published online 2021. doi:10.1002/pamm.202000180
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2021 | Journal Article | LibreCat-ID: 21681
Penner E, Caylak I, Mahnken R, Dridger A. Fuzzy and stochastic approach applied to rubber like materials. Safety and Reliability. Published online 2021:1-19. doi:10.1080/09617353.2020.1858678
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2021 | Journal Article | LibreCat-ID: 24376
Henkes A, Caylak I, Mahnken R. A deep learning driven pseudospectral PCE based FFT homogenization algorithm for complex microstructures. Computer Methods in Applied Mechanics and Engineering. Published online 2021. doi:10.1016/j.cma.2021.114070
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2020 | Journal Article | LibreCat-ID: 24374
Caylak I, Penner E, Mahnken R. Mean-field and full-field homogenization with polymorphic uncertain geometry and material parameters. Computer Methods in Applied Mechanics and Engineering. Published online 2020. doi:10.1016/j.cma.2020.113439
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2019 | Journal Article | LibreCat-ID: 19297
Dridger A, Caylak I, Mahnken R, Penner E. A possibilistic finite element method for sparse data. Safety and Reliability. 2019:58-82. doi:10.1080/09617353.2018.1552477
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2019 | Journal Article | LibreCat-ID: 19300
Mäck M, Caylak I, Edler P, et al. Optimization with constraints considering polymorphic uncertainties. GAMM-Mitteilungen. Published online 2019. doi:10.1002/gamm.201900005
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2019 | Journal Article | LibreCat-ID: 19122
Penner E, Caylak I, Dridger A, Mahnken R. A polynomial chaos expanded hybrid fuzzy-stochastic model for transversely fiber reinforced plastics. Mathematics and Mechanics of Complex Systems. Published online 2019:99-129. doi:10.2140/memocs.2019.7.99
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2019 | Journal Article | LibreCat-ID: 19120
Caylak I, Penner E, Mahnken R. A fuzzy uncertainty model for analytical and numerical homogenization of transversely fiber reinforced plastics. PAMM. Published online 2019. doi:10.1002/pamm.201900356
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2018 | Conference Paper | LibreCat-ID: 19306
Dridger A, Caylak I, Mahnken R, Penner E. On the connection between possibility theory and probability box theory in structural mechanics. In: 13th World Congress in Computational Mechanics . ; 2018.
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2018 | Journal Article | LibreCat-ID: 19308
Caylak I, Penner E, Dridger A, Mahnken R. Stochastic hyperelastic modeling considering dependency of material parameters. Computational Mechanics. Published online 2018:1273-1285. doi:10.1007/s00466-018-1563-z
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2018 | Journal Article | LibreCat-ID: 19303
Caylak I, Penner E, Dridger A, Mahnken R. A fuzzy‐stochastic model for transversely fiber reinforced plastics. PAMM. Published online 2018. doi:10.1002/pamm.201800121
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2018 | Journal Article | LibreCat-ID: 19124
Penner E, Caylak I, Dridger A, Mahnken R. Possibilistic and stochastic analysis using for rubber‐like materials. PAMM. Published online 2018. doi:10.1002/pamm.201800153
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2018 | Journal Article | LibreCat-ID: 19307
Penner E, Caylak I, Mahnken R. A multivariate stochastic material model with correlated material parameters. PAMM. Published online 2018:67-68. doi:10.1002/pamm.201710020
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2017 | Conference Paper | LibreCat-ID: 19309
Penner E, Caylak I, Mahnken R. MULTIDIMENSIONAL STOCHASTIC MATERIAL MODELING AT LARGE DEFORMATIONS CONSIDERING PARAMETER CORRELATIONS. In: Proceedings of the 2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering (UNCECOMP 2017). ; 2017. doi:10.7712/120217.5391.16785
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2016 | Journal Article | LibreCat-ID: 24644
Mahnken R, Caylak I, Dridger A. 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. Published online 2016. doi:10.24352/UB.OVGU-2017-003
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2016 | Journal Article | LibreCat-ID: 19128
Caylak I, Nörenberg N, Mahnken R. PC expansion for material parameters using artificial data and statistical methods. PAMM. Published online 2016:191-192. doi:10.1002/pamm.201610084
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2016 | Journal Article | LibreCat-ID: 19117
Dridger A, Caylak I, Mahnken R. A linear elastic Fuzzy Finite Element Method with two fuzzy input parameters. PAMM. Published online 2016:667-668. doi:10.1002/pamm.201610322
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2016 | Journal Article | LibreCat-ID: 19127
Penner E, Caylak I, Nörenberg N, Mahnken R. SFEM for rubber-like materials at large deformations. PAMM. Published online 2016:675-676. doi:10.1002/pamm.201610326
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2015 | Journal Article | LibreCat-ID: 19134
Dridger A, Caylak I, Mahnken R. Uncertainty quantification for linear elastic bodies with two fluctuating input parameters. PAMM. Published online 2015:551-552. doi:10.1002/pamm.201510266
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2015 | Journal Article | LibreCat-ID: 19131
Caylak I, Dridger A, Mahnken R. Non-linear Stochastic Finite Element. PAMM. Published online 2015:179-180. doi:10.1002/pamm.201510080
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2014 | Journal Article | LibreCat-ID: 24707
Dammann C, Caylak I, Mahnken R. Experimental Investigation of PC-Films Using Optical Measurements. International Polymer Processing. Published online 2014:260-271. doi:10.3139/217.2848
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2014 | Journal Article | LibreCat-ID: 19116
Caylak I, Mahnken R. Stabilized mixed triangular elements with area bubble functions at small and large deformations. Computers & Structures. Published online 2014:172-182. doi:10.1016/j.compstruc.2014.01.006
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2012 | Journal Article | LibreCat-ID: 19132
Caylak I, Mahnken R. Modeling of induced anisotropy at large deformations for polymers. PAMM. Published online 2012:319-320. doi:10.1002/pamm.201210149
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2011 | Dissertation | LibreCat-ID: 19187
Caylak I. Stabilized Mixed Triangular and Tetrahedral Finite Elements with Volume and Area Bubble Functions. Vol Band 4. Shaker; 2011.
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2011 | Journal Article | LibreCat-ID: 25088
Caylak I, Mahnken R. Mixed finite element formulations with volume bubble functions for triangular elements. Computers & Structures. Published online 2011:1844-1851. doi:10.1016/j.compstruc.2011.07.004
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2011 | Journal Article | LibreCat-ID: 19129
Caylak I, Mahnken R, Widany K-U. Stabilized mixed triangular finite elements at large deformations using area bubble functions. PAMM. Published online 2011:201-202. doi:10.1002/pamm.201110092
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2011 | Book Chapter | LibreCat-ID: 19133
Mahnken R, Caylak I. Optical Measurements for a Cold-Box Sand and Aspects of Direct and Inverse Problems for Micropolar Elasto-Plasticity. In: Advances in Extended and Multifield Theories for Continua. ; 2011. doi:10.1007/978-3-642-22738-7_9
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2011 | Journal Article | LibreCat-ID: 19113
Caylak I, Mahnken R. Stabilization of mixed tetrahedral elements at large deformations. International Journal for Numerical Methods in Engineering. Published online 2011:218-242. doi:10.1002/nme.3320
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2010 | Journal Article | LibreCat-ID: 19138
Caylak I, Mahnken R. Thermomechanical characterisation of cold box sand including optical measurements. International Journal of Cast Metals Research. Published online 2010:176-184. doi:10.1179/174313309x451261
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2010 | Journal Article | LibreCat-ID: 19118
Widany K-U, Caylak I, Mahnken R. Stabilized Mixed Tetrahedrals with Volume and Area Bubble Functions at Large Deformations. PAMM. Published online 2010:227-228. doi:10.1002/pamm.201010106
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2008 | Journal Article | LibreCat-ID: 19130
Caylak I, Mahnken R. On the stabilization of tetrahedral finite elements using volume and area bubble functions. PAMM. Published online 2008:4040013-4040014. doi:10.1002/pamm.200700224
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2007 | Journal Article | LibreCat-ID: 19114
Mahnken R, Caylak I. Stabilization of bi‐linear mixed finite elements for tetrahedra with enhanced interpolation using volume and area bubble functions. International Journal for Numerical Methods in Engineering. Published online 2007:377-413. doi:10.1002/nme.2264
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2007 | Journal Article | LibreCat-ID: 19112
Mahnken R, Caylak I, Laschet G. Two mixed finite element formulations with area bubble functions for tetrahedral elements. Computer Methods in Applied Mechanics and Engineering. Published online 2007:1147-1165. doi:10.1016/j.cma.2007.10.007
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