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37 Publications


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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