Penner, E., Caylak, I., &; Mahnken, R. (2023). 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.https://doi.org/10.1007/s12221-023-00122-x 
LibreCat: /record/42165
DOI: 10.1007/s12221-023-00122-x

Clemens, R., Barth, E., Uhlmann, E., Zhan, Y., Caylak, I., &; Mahnken, R. (2022). Effects on Process Forces of Individual Milling Tool Edges Depending on the Cutting Angle and Cutting Speed When Milling Cfrp. SSRN Electronic Journal.https://doi.org/10.2139/ssrn.4259246 
LibreCat: /record/41485
DOI: 10.2139/ssrn.4259246

Penner, E., Caylak, I., &; Mahnken, R. (2022). A polymorphic uncertainty model for the curing process of transversely fiber-reinforced plastics. Mathematics and Mechanics of Complex Systems, 10(1), 21–50.https://doi.org/10.2140/memocs.2022.10.21 
LibreCat: /record/34075
DOI: 10.2140/memocs.2022.10.21

Penner, E., Caylak, I., &; Mahnken, R. (2021). An uncertainty model for the curing process of transversely fiber reinforced plastics. PAMM.https://doi.org/10.1002/pamm.202000178 
LibreCat: /record/24392
DOI: 10.1002/pamm.202000178

Henkes, A., Caylak, I., &; Mahnken, R. (2021). A deep learning driven uncertain fullfield homogenization method. PAMM.https://doi.org/10.1002/pamm.202000180 
LibreCat: /record/24397
DOI: 10.1002/pamm.202000180

Penner, E., Caylak, I., Mahnken, R., &; Dridger, A. (2021). Fuzzy and stochastic approach applied to rubber like materials. Safety and Reliability, 1–19.https://doi.org/10.1080/09617353.2020.1858678 
LibreCat: /record/21681
DOI: 10.1080/09617353.2020.1858678

Henkes, A., Caylak, I., &; Mahnken, R. (2021). A deep learning driven pseudospectral PCE based FFT homogenization algorithm for complex microstructures. Computer Methods in Applied Mechanics and Engineering, Article 114070.https://doi.org/10.1016/j.cma.2021.114070 
LibreCat: /record/24376
DOI: 10.1016/j.cma.2021.114070

Caylak, I., Penner, E., &; Mahnken, R. (2020). Mean-field and full-field homogenization with polymorphic uncertain geometry and material parameters. Computer Methods in Applied Mechanics and Engineering, Article 113439.https://doi.org/10.1016/j.cma.2020.113439 
LibreCat: /record/24374
DOI: 10.1016/j.cma.2020.113439

Dridger, A., Caylak, I., Mahnken, R., &; Penner, E. (2019). A possibilistic finite element method for sparse data. Safety and Reliability, 58–82.https://doi.org/10.1080/09617353.2018.1552477 
LibreCat: /record/19297
DOI: 10.1080/09617353.2018.1552477

Mäck, M., Caylak, I., Edler, P., Freitag, S., Hanss, M., Mahnken, R., Meschke, G., &; Penner, E. (2019). Optimization with constraints considering polymorphic uncertainties. GAMM-Mitteilungen, Article e201900005.https://doi.org/10.1002/gamm.201900005 
LibreCat: /record/19300
DOI: 10.1002/gamm.201900005

Penner, E., Caylak, I., Dridger, A., &; Mahnken, R. (2019). A polynomial chaos expanded hybrid fuzzy-stochastic model for transversely fiber reinforced plastics. Mathematics and Mechanics of Complex Systems, 99–129.https://doi.org/10.2140/memocs.2019.7.99 
LibreCat: /record/19122
DOI: 10.2140/memocs.2019.7.99

Caylak, I., Penner, E., &; Mahnken, R. (2019). A fuzzy uncertainty model for analytical and numerical homogenization of transversely fiber reinforced plastics. PAMM.https://doi.org/10.1002/pamm.201900356 
LibreCat: /record/19120
DOI: 10.1002/pamm.201900356

Dridger, A., Caylak, I., Mahnken, R., &; Penner, E. (2018). On the connection between possibility theory and probability box theory in structural mechanics. 13th World Congress in Computational Mechanics . 13th World Congress in Computational Mechanics , New York.
LibreCat: /record/19306

Caylak, I., Penner, E., Dridger, A., &; Mahnken, R. (2018). Stochastic hyperelastic modeling considering dependency of material parameters. Computational Mechanics, 1273–1285.https://doi.org/10.1007/s00466-018-1563-z 
LibreCat: /record/19308
DOI: 10.1007/s00466-018-1563-z

Caylak, I., Penner, E., Dridger, A., &; Mahnken, R. (2018). A fuzzystochastic model for transversely fiber reinforced plastics. PAMM.https://doi.org/10.1002/pamm.201800121 
LibreCat: /record/19303
DOI: 10.1002/pamm.201800121

Penner, E., Caylak, I., Dridger, A., &; Mahnken, R. (2018). Possibilistic and stochastic analysis using for rubberlike materials. PAMM.https://doi.org/10.1002/pamm.201800153 
LibreCat: /record/19124
DOI: 10.1002/pamm.201800153

Penner, E., Caylak, I., &; Mahnken, R. (2018). A multivariate stochastic material model with correlated material parameters. PAMM, 67–68.https://doi.org/10.1002/pamm.201710020 
LibreCat: /record/19307
DOI: 10.1002/pamm.201710020

Penner, E., Caylak, I., &; Mahnken, R. (2017). MULTIDIMENSIONAL STOCHASTIC MATERIAL MODELING AT LARGE DEFORMATIONS CONSIDERING PARAMETER CORRELATIONS. Proceedings of the 2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering (UNCECOMP 2017).https://doi.org/10.7712/120217.5391.16785 
LibreCat: /record/19309
DOI: 10.7712/120217.5391.16785

Mahnken, R., Caylak, I., &; Dridger, A. (2016). 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.https://doi.org/10.24352/UB.OVGU-2017-003 
LibreCat: /record/24644
DOI: 10.24352/UB.OVGU-2017-003

Caylak, I., Nörenberg, N., &; Mahnken, R. (2016). PC expansion for material parameters using artificial data and statistical methods. PAMM, 191–192.https://doi.org/10.1002/pamm.201610084 
LibreCat: /record/19128
DOI: 10.1002/pamm.201610084

Dridger, A., Caylak, I., &; Mahnken, R. (2016). A linear elastic Fuzzy Finite Element Method with two fuzzy input parameters. PAMM, 667–668.https://doi.org/10.1002/pamm.201610322 
LibreCat: /record/19117
DOI: 10.1002/pamm.201610322

Penner, E., Caylak, I., Nörenberg, N., &; Mahnken, R. (2016). SFEM for rubber-like materials at large deformations. PAMM, 675–676.https://doi.org/10.1002/pamm.201610326 
LibreCat: /record/19127
DOI: 10.1002/pamm.201610326

Dridger, A., Caylak, I., &; Mahnken, R. (2015). Uncertainty quantification for linear elastic bodies with two fluctuating input parameters. PAMM, 551–552.https://doi.org/10.1002/pamm.201510266 
LibreCat: /record/19134
DOI: 10.1002/pamm.201510266

Caylak, I., Dridger, A., &; Mahnken, R. (2015). Non-linear Stochastic Finite Element. PAMM, 179–180.https://doi.org/10.1002/pamm.201510080 
LibreCat: /record/19131
DOI: 10.1002/pamm.201510080

Dammann, C., Caylak, I., &; Mahnken, R. (2014). Experimental Investigation of PC-Films Using Optical Measurements. International Polymer Processing, 260–271.https://doi.org/10.3139/217.2848 
LibreCat: /record/24707
DOI: 10.3139/217.2848

Caylak, I., &; Mahnken, R. (2014). Stabilized mixed triangular elements with area bubble functions at small and large deformations. Computers &; Structures, 172–182.https://doi.org/10.1016/j.compstruc.2014.01.006 
LibreCat: /record/19116
DOI: 10.1016/j.compstruc.2014.01.006

Caylak, I., &; Mahnken, R. (2012). Modeling of induced anisotropy at large deformations for polymers. PAMM, 319–320.https://doi.org/10.1002/pamm.201210149 
LibreCat: /record/19132
DOI: 10.1002/pamm.201210149

Caylak, I. (2011). Stabilized Mixed Triangular and Tetrahedral Finite Elements with Volume and Area Bubble Functions (Vol. Band 4). Shaker.
LibreCat: /record/19187

Caylak, I., &; Mahnken, R. (2011). Mixed finite element formulations with volume bubble functions for triangular elements. Computers &; Structures, 1844–1851.https://doi.org/10.1016/j.compstruc.2011.07.004 
LibreCat: /record/25088
DOI: 10.1016/j.compstruc.2011.07.004

Caylak, I., Mahnken, R., &; Widany, K.-U. (2011). Stabilized mixed triangular finite elements at large deformations using area bubble functions. PAMM, 201–202.https://doi.org/10.1002/pamm.201110092 
LibreCat: /record/19129
DOI: 10.1002/pamm.201110092

Mahnken, R., &; Caylak, I. (2011). 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.https://doi.org/10.1007/978-3-642-22738-7_9 
LibreCat: /record/19133
DOI: 10.1007/978-3-642-22738-7_9

Caylak, I., &; Mahnken, R. (2011). Stabilization of mixed tetrahedral elements at large deformations. International Journal for Numerical Methods in Engineering, 218–242.https://doi.org/10.1002/nme.3320 
LibreCat: /record/19113
DOI: 10.1002/nme.3320

Caylak, I., &; Mahnken, R. (2010). Thermomechanical characterisation of cold box sand including optical measurements. International Journal of Cast Metals Research, 176–184.https://doi.org/10.1179/174313309x451261 
LibreCat: /record/19138
DOI: 10.1179/174313309x451261

Widany, K.-U., Caylak, I., &; Mahnken, R. (2010). Stabilized Mixed Tetrahedrals with Volume and Area Bubble Functions at Large Deformations. PAMM, 227–228.https://doi.org/10.1002/pamm.201010106 
LibreCat: /record/19118
DOI: 10.1002/pamm.201010106

Caylak, I., &; Mahnken, R. (2008). On the stabilization of tetrahedral finite elements using volume and area bubble functions. PAMM, 4040013–4040014.https://doi.org/10.1002/pamm.200700224 
LibreCat: /record/19130
DOI: 10.1002/pamm.200700224

Mahnken, R., &; Caylak, I. (2007). Stabilization of bilinear mixed finite elements for tetrahedra with enhanced interpolation using volume and area bubble functions. International Journal for Numerical Methods in Engineering, 377–413.https://doi.org/10.1002/nme.2264 
LibreCat: /record/19114
DOI: 10.1002/nme.2264

Mahnken, R., Caylak, I., &; Laschet, G. (2007). Two mixed finite element formulations with area bubble functions for tetrahedral elements. Computer Methods in Applied Mechanics and Engineering, 1147–1165.https://doi.org/10.1016/j.cma.2007.10.007 
LibreCat: /record/19112
DOI: 10.1016/j.cma.2007.10.007