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37 Publications
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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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: 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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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: 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: 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 | 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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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: 19300
M. Mäck et al., “Optimization with constraints considering polymorphic uncertainties,” GAMM-Mitteilungen, Art. no. e201900005, 2019, doi: 10.1002/gamm.201900005.
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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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2018 | Conference Paper | LibreCat-ID: 19306
A. Dridger, I. Caylak, R. Mahnken, and E. Penner, “On the connection between possibility theory and probability box theory in structural mechanics,” presented at the 13th World Congress in Computational Mechanics , New York, 2018.
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2018 | Journal Article | LibreCat-ID: 19308
I. Caylak, E. Penner, A. Dridger, and R. Mahnken, “Stochastic hyperelastic modeling considering dependency of material parameters,” Computational Mechanics, pp. 1273–1285, 2018, doi: 10.1007/s00466-018-1563-z.
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2018 | Journal Article | LibreCat-ID: 19303
I. Caylak, E. Penner, A. Dridger, and R. Mahnken, “A fuzzy‐stochastic model for transversely fiber reinforced plastics,” PAMM, 2018, doi: 10.1002/pamm.201800121.
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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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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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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: 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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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: 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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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: 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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2012 | Journal Article | LibreCat-ID: 19132
I. Caylak and R. Mahnken, “Modeling of induced anisotropy at large deformations for polymers,” PAMM, pp. 319–320, 2012, doi: 10.1002/pamm.201210149.
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2011 | Dissertation | LibreCat-ID: 19187
I. Caylak, 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
I. Caylak and R. Mahnken, “Mixed finite element formulations with volume bubble functions for triangular elements,” Computers & Structures, pp. 1844–1851, 2011, doi: 10.1016/j.compstruc.2011.07.004.
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2011 | Journal Article | LibreCat-ID: 19129
I. Caylak, R. Mahnken, and K.-U. Widany, “Stabilized mixed triangular finite elements at large deformations using area bubble functions,” PAMM, pp. 201–202, 2011, doi: 10.1002/pamm.201110092.
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2011 | Journal Article | LibreCat-ID: 19113
I. Caylak and R. Mahnken, “Stabilization of mixed tetrahedral elements at large deformations,” International Journal for Numerical Methods in Engineering, pp. 218–242, 2011, doi: 10.1002/nme.3320.
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2010 | Journal Article | LibreCat-ID: 19138
I. Caylak and R. Mahnken, “Thermomechanical characterisation of cold box sand including optical measurements,” International Journal of Cast Metals Research, pp. 176–184, 2010, doi: 10.1179/174313309x451261.
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2010 | Journal Article | LibreCat-ID: 19118
K.-U. Widany, I. Caylak, and R. Mahnken, “Stabilized Mixed Tetrahedrals with Volume and Area Bubble Functions at Large Deformations,” PAMM, pp. 227–228, 2010, doi: 10.1002/pamm.201010106.
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2008 | Journal Article | LibreCat-ID: 19130
I. Caylak and R. Mahnken, “On the stabilization of tetrahedral finite elements using volume and area bubble functions,” PAMM, pp. 4040013–4040014, 2008, doi: 10.1002/pamm.200700224.
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2007 | Journal Article | LibreCat-ID: 19114
R. Mahnken and I. Caylak, “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, pp. 377–413, 2007, doi: 10.1002/nme.2264.
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2007 | Journal Article | LibreCat-ID: 19112
R. Mahnken, I. Caylak, and G. Laschet, “Two mixed finite element formulations with area bubble functions for tetrahedral elements,” Computer Methods in Applied Mechanics and Engineering, pp. 1147–1165, 2007, doi: 10.1016/j.cma.2007.10.007.
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