@article{42165, abstract = {{AbstractComposite materials, such as fiber reinforced polymers, become increasingly important due to their excellent mechanical and lightweight properties. In this respect, this paper reports the characterization of a unidirectional carbon fiber reinforced polymer composite material. Particularly, the mechanical behavior of the overall composite and of the individual constituents of the composite is investigated. To this end, tensile and shear tests are performed for the composite. As a result, statistics for five transversely isotropic material parameters can be established for the composite. For the description of the mechanical properties of the constituents, tensile tests for the carbon fiber as well as for the polymer matrix are carried out. In addition, the volume fraction of fibers in the matrix is determined experimentally using an ashing technique and Archimedes’ principle. For the Young’s modulus of the fiber, the Young’s modulus and transverse contraction of the matrix, as well as the volume fraction of the constituents, statistics can be concluded. The resulting mechanical properties on both scales are useful for the application and validation of different material models and homogenization methods. Finally, in order to validate the obtained properties in the future, inhomogeneous tests were performed, once a flat plate with a hole and a flat plate with semicircular notches.}}, author = {{Penner, Eduard and Caylak, Ismail and Mahnken, Rolf}}, issn = {{1229-9197}}, journal = {{Fibers and Polymers}}, keywords = {{Polymers and Plastics, General Chemical Engineering, General Chemistry}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{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}}}, doi = {{10.1007/s12221-023-00122-x}}, year = {{2023}}, } @article{41485, author = {{Clemens, Robin and Barth, Enrico and Uhlmann, Eckart and Zhan, Yingjie and Caylak, Ismail and Mahnken, Rolf}}, issn = {{1556-5068}}, journal = {{SSRN Electronic Journal}}, keywords = {{General Earth and Planetary Sciences, General Environmental Science}}, publisher = {{Elsevier BV}}, title = {{{Effects on Process Forces of Individual Milling Tool Edges Depending on the Cutting Angle and Cutting Speed When Milling Cfrp}}}, doi = {{10.2139/ssrn.4259246}}, year = {{2022}}, } @article{34075, author = {{Penner, Eduard and Caylak, Ismail and Mahnken, Rolf}}, issn = {{2325-3444}}, journal = {{Mathematics and Mechanics of Complex Systems}}, keywords = {{Computational Mathematics, Numerical Analysis, Civil and Structural Engineering}}, number = {{1}}, pages = {{21--50}}, publisher = {{Mathematical Sciences Publishers}}, title = {{{A polymorphic uncertainty model for the curing process of transversely fiber-reinforced plastics}}}, doi = {{10.2140/memocs.2022.10.21}}, volume = {{10}}, year = {{2022}}, } @article{24392, author = {{Penner, Eduard and Caylak, Ismail and Mahnken, Rolf}}, issn = {{1617-7061}}, journal = {{PAMM}}, title = {{{An uncertainty model for the curing process of transversely fiber reinforced plastics}}}, doi = {{10.1002/pamm.202000178}}, year = {{2021}}, } @article{24397, author = {{Henkes, Alexander and Caylak, Ismail and Mahnken, Rolf}}, issn = {{1617-7061}}, journal = {{PAMM}}, title = {{{A deep learning driven uncertain full‐field homogenization method}}}, doi = {{10.1002/pamm.202000180}}, year = {{2021}}, } @article{21681, author = {{Penner, Eduard and Caylak, Ismail and Mahnken, Rolf and Dridger, Alex}}, issn = {{0961-7353}}, journal = {{Safety and Reliability}}, pages = {{1--19}}, title = {{{Fuzzy and stochastic approach applied to rubber like materials}}}, doi = {{10.1080/09617353.2020.1858678}}, year = {{2021}}, } @article{24376, author = {{Henkes, Alexander and Caylak, Ismail and Mahnken, Rolf}}, issn = {{0045-7825}}, journal = {{Computer Methods in Applied Mechanics and Engineering}}, title = {{{A deep learning driven pseudospectral PCE based FFT homogenization algorithm for complex microstructures}}}, doi = {{10.1016/j.cma.2021.114070}}, year = {{2021}}, } @article{24374, author = {{Caylak, Ismail and Penner, Eduard and Mahnken, Rolf}}, issn = {{0045-7825}}, journal = {{Computer Methods in Applied Mechanics and Engineering}}, title = {{{Mean-field and full-field homogenization with polymorphic uncertain geometry and material parameters}}}, doi = {{10.1016/j.cma.2020.113439}}, year = {{2020}}, } @article{19297, author = {{Dridger, A. and Caylak, Ismail and Mahnken, R. and Penner, Eduard}}, issn = {{0961-7353}}, journal = {{Safety and Reliability}}, pages = {{58--82}}, title = {{{A possibilistic finite element method for sparse data}}}, doi = {{10.1080/09617353.2018.1552477}}, year = {{2019}}, } @article{19300, author = {{Mäck, Markus and Caylak, Ismail and Edler, Philipp and Freitag, Steffen and Hanss, Michael and Mahnken, Rolf and Meschke, Günther and Penner, Eduard}}, issn = {{0936-7195}}, journal = {{GAMM-Mitteilungen}}, title = {{{Optimization with constraints considering polymorphic uncertainties}}}, doi = {{10.1002/gamm.201900005}}, year = {{2019}}, } @article{19122, author = {{Penner, Eduard and Caylak, Ismail and Dridger, Alex and Mahnken, Rolf}}, issn = {{2325-3444}}, journal = {{Mathematics and Mechanics of Complex Systems}}, pages = {{99--129}}, title = {{{A polynomial chaos expanded hybrid fuzzy-stochastic model for transversely fiber reinforced plastics}}}, doi = {{10.2140/memocs.2019.7.99}}, year = {{2019}}, } @article{19120, author = {{Caylak, Ismail and Penner, Eduard and Mahnken, Rolf}}, issn = {{1617-7061}}, journal = {{PAMM}}, title = {{{A fuzzy uncertainty model for analytical and numerical homogenization of transversely fiber reinforced plastics}}}, doi = {{10.1002/pamm.201900356}}, year = {{2019}}, } @inproceedings{19306, author = {{Dridger, Alex and Caylak, Ismail and Mahnken, Rolf and Penner, Eduard}}, booktitle = {{13th World Congress in Computational Mechanics }}, location = {{New York}}, title = {{{On the connection between possibility theory and probability box theory in structural mechanics}}}, year = {{2018}}, } @article{19308, author = {{Caylak, Ismail and Penner, Eduard and Dridger, Alex and Mahnken, Rolf}}, issn = {{0178-7675}}, journal = {{Computational Mechanics}}, pages = {{1273--1285}}, title = {{{Stochastic hyperelastic modeling considering dependency of material parameters}}}, doi = {{10.1007/s00466-018-1563-z}}, year = {{2018}}, } @article{19303, author = {{Caylak, Ismail and Penner, Eduard and Dridger, Alex and Mahnken, Rolf}}, issn = {{1617-7061}}, journal = {{PAMM}}, title = {{{A fuzzy‐stochastic model for transversely fiber reinforced plastics}}}, doi = {{10.1002/pamm.201800121}}, year = {{2018}}, } @article{19124, author = {{Penner, Eduard and Caylak, Ismail and Dridger, Alex and Mahnken, Rolf}}, issn = {{1617-7061}}, journal = {{PAMM}}, title = {{{Possibilistic and stochastic analysis using for rubber‐like materials}}}, doi = {{10.1002/pamm.201800153}}, year = {{2018}}, } @article{19307, author = {{Penner, Eduard and Caylak, Ismail and Mahnken, Rolf}}, issn = {{1617-7061}}, journal = {{PAMM}}, pages = {{67--68}}, title = {{{A multivariate stochastic material model with correlated material parameters}}}, doi = {{10.1002/pamm.201710020}}, year = {{2018}}, } @inproceedings{19309, author = {{Penner, Eduard and Caylak, Ismail and Mahnken, Rolf}}, booktitle = {{Proceedings of the 2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering (UNCECOMP 2017)}}, isbn = {{9786188284449}}, title = {{{MULTIDIMENSIONAL STOCHASTIC MATERIAL MODELING AT LARGE DEFORMATIONS CONSIDERING PARAMETER CORRELATIONS}}}, doi = {{10.7712/120217.5391.16785}}, year = {{2017}}, } @article{24644, abstract = {{This paper presents a numerical method for solution of a stochastic partial differential equation (SPDE) for a linear elastic body with stochastic coefficients (random variables and/or random fields). To this end the stochastic finite element method (SFEM) is employed, which uses W IENER’S polynomial chaos expansion in order to decompose the coefficients into deterministic and stochastic parts. As a special case, we consider isotropic material behavior with two fluctuating parameters. Computational approaches involving GALERKIN projection are applied to reduce the SPDE into a system of deterministic PDEs. Furthermore, we consider normally distributed random variables, which are assumed to be stochastically independent, and which establish the number of stochastic dimensions. Subsequently, the resulting finite element equation is solved iteratively. Finally, in a representative example for a plate with a ring hole we study the influence of different variances for material parameters on the variances for the finite element results.}}, author = {{Mahnken, Rolf and Caylak, Ismail and Dridger, Alex}}, journal = {{A Stochastic Finite Element Method with a Deviatoric-volumetric Split for the Stochastic Linear Isotropic Elasticity Tensor}}, title = {{{A Stochastic Finite Element Method with a Deviatoric-volumetric Split for the Stochastic Linear Isotropic Elasticity Tensor}}}, doi = {{10.24352/UB.OVGU-2017-003}}, year = {{2016}}, } @article{19128, author = {{Caylak, Ismail and Nörenberg, Nicole and Mahnken, Rolf}}, issn = {{1617-7061}}, journal = {{PAMM}}, pages = {{191--192}}, title = {{{PC expansion for material parameters using artificial data and statistical methods}}}, doi = {{10.1002/pamm.201610084}}, year = {{2016}}, }