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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI