[{"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","user_id":"335","abstract":[{"text":"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.","lang":"eng"}],"publication_status":"published","publication_identifier":{"issn":["1229-9197","1875-0052"]},"status":"public","date_created":"2023-02-16T12:37:11Z","author":[{"first_name":"Eduard","full_name":"Penner, Eduard","last_name":"Penner"},{"id":"75","last_name":"Caylak","full_name":"Caylak, Ismail","first_name":"Ismail"},{"id":"335","last_name":"Mahnken","full_name":"Mahnken, Rolf","first_name":"Rolf"}],"publisher":"Springer Science and Business Media LLC","publication":"Fibers and Polymers","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"keyword":["Polymers and Plastics","General Chemical Engineering","General Chemistry"],"doi":"10.1007/s12221-023-00122-x","date_updated":"2023-03-24T08:42:33Z","_id":"42165","type":"journal_article","citation":{"apa":"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","ama":"Penner E, Caylak I, Mahnken R. 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. Published online 2023. doi:10.1007/s12221-023-00122-x","chicago":"Penner, Eduard, Ismail Caylak, and Rolf 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. https://doi.org/10.1007/s12221-023-00122-x.","bibtex":"@article{Penner_Caylak_Mahnken_2023, 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}, journal={Fibers and Polymers}, publisher={Springer Science and Business Media LLC}, author={Penner, Eduard and Caylak, Ismail and Mahnken, Rolf}, year={2023} }","mla":"Penner, Eduard, et al. “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, Springer Science and Business Media LLC, 2023, doi:10.1007/s12221-023-00122-x.","short":"E. Penner, I. Caylak, R. Mahnken, Fibers and Polymers (2023).","ieee":"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."},"year":"2023","language":[{"iso":"eng"}]},{"title":"Effects on Process Forces of Individual Milling Tool Edges Depending on the Cutting Angle and Cutting Speed When Milling Cfrp","user_id":"335","publisher":"Elsevier BV","author":[{"full_name":"Clemens, Robin","first_name":"Robin","last_name":"Clemens"},{"last_name":"Barth","first_name":"Enrico","full_name":"Barth, Enrico"},{"last_name":"Uhlmann","first_name":"Eckart","full_name":"Uhlmann, Eckart"},{"last_name":"Zhan","first_name":"Yingjie","full_name":"Zhan, Yingjie"},{"first_name":"Ismail","full_name":"Caylak, Ismail","last_name":"Caylak","id":"75"},{"first_name":"Rolf","full_name":"Mahnken, Rolf","last_name":"Mahnken","id":"335"}],"quality_controlled":"1","publication":"SSRN Electronic Journal","department":[{"_id":"9"},{"_id":"154"}],"keyword":["General Earth and Planetary Sciences","General Environmental Science"],"publication_identifier":{"issn":["1556-5068"]},"publication_status":"published","status":"public","date_created":"2023-02-02T12:49:43Z","_id":"41485","date_updated":"2023-04-27T10:08:09Z","doi":"10.2139/ssrn.4259246","citation":{"short":"R. Clemens, E. Barth, E. Uhlmann, Y. Zhan, I. Caylak, R. Mahnken, SSRN Electronic Journal (2022).","ieee":"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.","ama":"Clemens R, Barth E, Uhlmann E, Zhan Y, Caylak I, Mahnken R. Effects on Process Forces of Individual Milling Tool Edges Depending on the Cutting Angle and Cutting Speed When Milling Cfrp. SSRN Electronic Journal. Published online 2022. doi:10.2139/ssrn.4259246","apa":"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","chicago":"Clemens, Robin, Enrico Barth, Eckart Uhlmann, Yingjie Zhan, Ismail Caylak, and Rolf 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. https://doi.org/10.2139/ssrn.4259246.","mla":"Clemens, Robin, et al. “Effects on Process Forces of Individual Milling Tool Edges Depending on the Cutting Angle and Cutting Speed When Milling Cfrp.” SSRN Electronic Journal, Elsevier BV, 2022, doi:10.2139/ssrn.4259246.","bibtex":"@article{Clemens_Barth_Uhlmann_Zhan_Caylak_Mahnken_2022, 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}, journal={SSRN Electronic Journal}, publisher={Elsevier BV}, author={Clemens, Robin and Barth, Enrico and Uhlmann, Eckart and Zhan, Yingjie and Caylak, Ismail and Mahnken, Rolf}, year={2022} }"},"type":"journal_article","year":"2022","language":[{"iso":"eng"}]},{"date_created":"2022-11-14T12:55:22Z","status":"public","volume":10,"publication":"Mathematics and Mechanics of Complex Systems","keyword":["Computational Mathematics","Numerical Analysis","Civil and Structural Engineering"],"publisher":"Mathematical Sciences Publishers","quality_controlled":"1","author":[{"last_name":"Penner","first_name":"Eduard","full_name":"Penner, Eduard"},{"last_name":"Caylak","id":"75","first_name":"Ismail","full_name":"Caylak, Ismail"},{"full_name":"Mahnken, Rolf","first_name":"Rolf","id":"335","last_name":"Mahnken"}],"user_id":"335","page":"21-50","year":"2022","type":"journal_article","citation":{"ieee":"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.","short":"E. Penner, I. Caylak, R. Mahnken, Mathematics and Mechanics of Complex Systems 10 (2022) 21–50.","bibtex":"@article{Penner_Caylak_Mahnken_2022, title={A polymorphic uncertainty model for the curing process of transversely fiber-reinforced plastics}, volume={10}, DOI={10.2140/memocs.2022.10.21}, number={1}, journal={Mathematics and Mechanics of Complex Systems}, publisher={Mathematical Sciences Publishers}, author={Penner, Eduard and Caylak, Ismail and Mahnken, Rolf}, year={2022}, pages={21–50} }","mla":"Penner, Eduard, et al. “A Polymorphic Uncertainty Model for the Curing Process of Transversely Fiber-Reinforced Plastics.” Mathematics and Mechanics of Complex Systems, vol. 10, no. 1, Mathematical Sciences Publishers, 2022, pp. 21–50, doi:10.2140/memocs.2022.10.21.","ama":"Penner E, Caylak I, Mahnken R. A polymorphic uncertainty model for the curing process of transversely fiber-reinforced plastics. Mathematics and Mechanics of Complex Systems. 2022;10(1):21-50. doi:10.2140/memocs.2022.10.21","apa":"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","chicago":"Penner, Eduard, Ismail Caylak, and Rolf Mahnken. “A Polymorphic Uncertainty Model for the Curing Process of Transversely Fiber-Reinforced Plastics.” Mathematics and Mechanics of Complex Systems 10, no. 1 (2022): 21–50. https://doi.org/10.2140/memocs.2022.10.21."},"issue":"1","_id":"34075","intvolume":" 10","publication_status":"published","publication_identifier":{"issn":["2325-3444","2326-7186"]},"department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"title":"A polymorphic uncertainty model for the curing process of transversely fiber-reinforced plastics","language":[{"iso":"eng"}],"doi":"10.2140/memocs.2022.10.21","date_updated":"2023-04-27T10:04:44Z"},{"language":[{"iso":"eng"}],"citation":{"bibtex":"@article{Penner_Caylak_Mahnken_2021, title={An uncertainty model for the curing process of transversely fiber reinforced plastics}, DOI={10.1002/pamm.202000178}, journal={PAMM}, author={Penner, Eduard and Caylak, Ismail and Mahnken, Rolf}, year={2021} }","mla":"Penner, Eduard, et al. “An Uncertainty Model for the Curing Process of Transversely Fiber Reinforced Plastics.” PAMM, 2021, doi:10.1002/pamm.202000178.","chicago":"Penner, Eduard, Ismail Caylak, and Rolf Mahnken. “An Uncertainty Model for the Curing Process of Transversely Fiber Reinforced Plastics.” PAMM, 2021. https://doi.org/10.1002/pamm.202000178.","apa":"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","ama":"Penner E, Caylak I, Mahnken R. An uncertainty model for the curing process of transversely fiber reinforced plastics. PAMM. Published online 2021. doi:10.1002/pamm.202000178","ieee":"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.","short":"E. Penner, I. Caylak, R. Mahnken, PAMM (2021)."},"type":"journal_article","year":"2021","date_updated":"2023-01-24T12:43:54Z","_id":"24392","doi":"10.1002/pamm.202000178","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"publication":"PAMM","author":[{"first_name":"Eduard","full_name":"Penner, Eduard","last_name":"Penner","id":"27973"},{"first_name":"Ismail","full_name":"Caylak, Ismail","last_name":"Caylak","id":"75"},{"first_name":"Rolf","full_name":"Mahnken, Rolf","last_name":"Mahnken","id":"335"}],"date_created":"2021-09-14T12:08:38Z","status":"public","publication_identifier":{"issn":["1617-7061","1617-7061"]},"publication_status":"published","user_id":"335","title":"An uncertainty model for the curing process of transversely fiber reinforced plastics"},{"user_id":"335","title":"A deep learning driven uncertain full‐field homogenization method","author":[{"last_name":"Henkes","first_name":"Alexander","full_name":"Henkes, Alexander"},{"full_name":"Caylak, Ismail","first_name":"Ismail","id":"75","last_name":"Caylak"},{"first_name":"Rolf","full_name":"Mahnken, Rolf","last_name":"Mahnken","id":"335"}],"publication":"PAMM","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"status":"public","date_created":"2021-09-14T12:26:45Z","publication_status":"published","publication_identifier":{"issn":["1617-7061","1617-7061"]},"date_updated":"2023-01-24T12:45:09Z","_id":"24397","doi":"10.1002/pamm.202000180","language":[{"iso":"eng"}],"type":"journal_article","year":"2021","citation":{"ama":"Henkes A, Caylak I, Mahnken R. A deep learning driven uncertain full‐field homogenization method. PAMM. Published online 2021. doi:10.1002/pamm.202000180","apa":"Henkes, A., Caylak, I., & Mahnken, R. (2021). A deep learning driven uncertain full‐field homogenization method. PAMM. https://doi.org/10.1002/pamm.202000180","chicago":"Henkes, Alexander, Ismail Caylak, and Rolf Mahnken. “A Deep Learning Driven Uncertain Full‐field Homogenization Method.” PAMM, 2021. https://doi.org/10.1002/pamm.202000180.","bibtex":"@article{Henkes_Caylak_Mahnken_2021, title={A deep learning driven uncertain full‐field homogenization method}, DOI={10.1002/pamm.202000180}, journal={PAMM}, author={Henkes, Alexander and Caylak, Ismail and Mahnken, Rolf}, year={2021} }","mla":"Henkes, Alexander, et al. “A Deep Learning Driven Uncertain Full‐field Homogenization Method.” PAMM, 2021, doi:10.1002/pamm.202000180.","short":"A. Henkes, I. Caylak, R. Mahnken, PAMM (2021).","ieee":"A. Henkes, I. Caylak, and R. Mahnken, “A deep learning driven uncertain full‐field homogenization method,” PAMM, 2021, doi: 10.1002/pamm.202000180."}},{"title":"Fuzzy and stochastic approach applied to rubber like materials","user_id":"335","publication_identifier":{"issn":["0961-7353","2469-4126"]},"publication_status":"published","date_created":"2021-04-21T06:35:08Z","status":"public","publication":"Safety and Reliability","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"author":[{"id":"27973","last_name":"Penner","full_name":"Penner, Eduard","first_name":"Eduard"},{"first_name":"Ismail","full_name":"Caylak, Ismail","last_name":"Caylak","id":"75"},{"last_name":"Mahnken","id":"335","first_name":"Rolf","full_name":"Mahnken, Rolf"},{"last_name":"Dridger","full_name":"Dridger, Alex","first_name":"Alex"}],"quality_controlled":"1","doi":"10.1080/09617353.2020.1858678","_id":"21681","date_updated":"2023-01-24T13:06:18Z","page":"1-19","type":"journal_article","citation":{"chicago":"Penner, Eduard, Ismail Caylak, Rolf Mahnken, and Alex Dridger. “Fuzzy and Stochastic Approach Applied to Rubber like Materials.” Safety and Reliability, 2021, 1–19. https://doi.org/10.1080/09617353.2020.1858678.","ama":"Penner E, Caylak I, Mahnken R, Dridger A. Fuzzy and stochastic approach applied to rubber like materials. Safety and Reliability. Published online 2021:1-19. doi:10.1080/09617353.2020.1858678","apa":"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","bibtex":"@article{Penner_Caylak_Mahnken_Dridger_2021, title={Fuzzy and stochastic approach applied to rubber like materials}, DOI={10.1080/09617353.2020.1858678}, journal={Safety and Reliability}, author={Penner, Eduard and Caylak, Ismail and Mahnken, Rolf and Dridger, Alex}, year={2021}, pages={1–19} }","mla":"Penner, Eduard, et al. “Fuzzy and Stochastic Approach Applied to Rubber like Materials.” Safety and Reliability, 2021, pp. 1–19, doi:10.1080/09617353.2020.1858678.","short":"E. Penner, I. Caylak, R. Mahnken, A. Dridger, Safety and Reliability (2021) 1–19.","ieee":"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."},"year":"2021","language":[{"iso":"eng"}]},{"title":"A deep learning driven pseudospectral PCE based FFT homogenization algorithm for complex microstructures","user_id":"335","publication":"Computer Methods in Applied Mechanics and Engineering","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"author":[{"last_name":"Henkes","full_name":"Henkes, Alexander","first_name":"Alexander"},{"full_name":"Caylak, Ismail","first_name":"Ismail","id":"75","last_name":"Caylak"},{"id":"335","last_name":"Mahnken","full_name":"Mahnken, Rolf","first_name":"Rolf"}],"quality_controlled":"1","publication_status":"published","publication_identifier":{"issn":["0045-7825"]},"date_created":"2021-09-14T11:21:22Z","status":"public","date_updated":"2023-01-24T13:02:58Z","_id":"24376","doi":"10.1016/j.cma.2021.114070","article_number":"114070","citation":{"mla":"Henkes, Alexander, et al. “A Deep Learning Driven Pseudospectral PCE Based FFT Homogenization Algorithm for Complex Microstructures.” Computer Methods in Applied Mechanics and Engineering, 114070, 2021, doi:10.1016/j.cma.2021.114070.","bibtex":"@article{Henkes_Caylak_Mahnken_2021, title={A deep learning driven pseudospectral PCE based FFT homogenization algorithm for complex microstructures}, DOI={10.1016/j.cma.2021.114070}, number={114070}, journal={Computer Methods in Applied Mechanics and Engineering}, author={Henkes, Alexander and Caylak, Ismail and Mahnken, Rolf}, year={2021} }","chicago":"Henkes, Alexander, Ismail Caylak, and Rolf Mahnken. “A Deep Learning Driven Pseudospectral PCE Based FFT Homogenization Algorithm for Complex Microstructures.” Computer Methods in Applied Mechanics and Engineering, 2021. https://doi.org/10.1016/j.cma.2021.114070.","ama":"Henkes A, Caylak I, Mahnken R. A deep learning driven pseudospectral PCE based FFT homogenization algorithm for complex microstructures. Computer Methods in Applied Mechanics and Engineering. Published online 2021. doi:10.1016/j.cma.2021.114070","apa":"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","ieee":"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.","short":"A. Henkes, I. Caylak, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2021)."},"type":"journal_article","year":"2021","language":[{"iso":"eng"}]},{"status":"public","date_created":"2021-09-14T11:18:05Z","publication_status":"published","publication_identifier":{"issn":["0045-7825"]},"quality_controlled":"1","author":[{"full_name":"Caylak, Ismail","first_name":"Ismail","id":"75","last_name":"Caylak"},{"full_name":"Penner, Eduard","first_name":"Eduard","id":"27973","last_name":"Penner"},{"first_name":"Rolf","full_name":"Mahnken, Rolf","last_name":"Mahnken","id":"335"}],"department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"publication":"Computer Methods in Applied Mechanics and Engineering","user_id":"335","title":"Mean-field and full-field homogenization with polymorphic uncertain geometry and material parameters","language":[{"iso":"eng"}],"year":"2020","citation":{"ieee":"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.","short":"I. Caylak, E. Penner, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2020).","mla":"Caylak, Ismail, et al. “Mean-Field and Full-Field Homogenization with Polymorphic Uncertain Geometry and Material Parameters.” Computer Methods in Applied Mechanics and Engineering, 113439, 2020, doi:10.1016/j.cma.2020.113439.","bibtex":"@article{Caylak_Penner_Mahnken_2020, title={Mean-field and full-field homogenization with polymorphic uncertain geometry and material parameters}, DOI={10.1016/j.cma.2020.113439}, number={113439}, journal={Computer Methods in Applied Mechanics and Engineering}, author={Caylak, Ismail and Penner, Eduard and Mahnken, Rolf}, year={2020} }","chicago":"Caylak, Ismail, Eduard Penner, and Rolf Mahnken. “Mean-Field and Full-Field Homogenization with Polymorphic Uncertain Geometry and Material Parameters.” Computer Methods in Applied Mechanics and Engineering, 2020. https://doi.org/10.1016/j.cma.2020.113439.","apa":"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","ama":"Caylak I, Penner E, Mahnken R. Mean-field and full-field homogenization with polymorphic uncertain geometry and material parameters. Computer Methods in Applied Mechanics and Engineering. Published online 2020. doi:10.1016/j.cma.2020.113439"},"type":"journal_article","article_number":"113439","doi":"10.1016/j.cma.2020.113439","_id":"24374","date_updated":"2023-01-24T14:03:55Z"},{"language":[{"iso":"eng"}],"citation":{"short":"A. Dridger, I. Caylak, R. Mahnken, E. Penner, Safety and Reliability (2019) 58–82.","ieee":"A. Dridger, I. Caylak, R. Mahnken, and E. Penner, “A possibilistic finite element method for sparse data,” Safety and Reliability, pp. 58–82, 2019.","ama":"Dridger A, Caylak I, Mahnken R, Penner E. A possibilistic finite element method for sparse data. Safety and Reliability. 2019:58-82. doi:10.1080/09617353.2018.1552477","apa":"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","chicago":"Dridger, A., Ismail Caylak, R. 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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. Published online 2016. doi:10.24352/UB.OVGU-2017-003","apa":"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","chicago":"Mahnken, Rolf, Ismail Caylak, and Alex 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. https://doi.org/10.24352/UB.OVGU-2017-003.","ieee":"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.","short":"R. Mahnken, I. Caylak, A. Dridger, A Stochastic Finite Element Method with a Deviatoric-Volumetric Split for the Stochastic Linear Isotropic Elasticity Tensor (2016)."},"type":"journal_article","user_id":"335","title":"A Stochastic Finite Element Method with a Deviatoric-volumetric Split for the Stochastic Linear Isotropic Elasticity Tensor","abstract":[{"text":"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.","lang":"eng"}],"status":"public","date_created":"2021-09-17T10:09:52Z","author":[{"first_name":"Rolf","full_name":"Mahnken, Rolf","last_name":"Mahnken","id":"335"},{"first_name":"Ismail","full_name":"Caylak, Ismail","last_name":"Caylak","id":"75"},{"first_name":"Alex","full_name":"Dridger, Alex","last_name":"Dridger"}],"quality_controlled":"1","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"publication":"A Stochastic Finite Element Method with a Deviatoric-volumetric Split for the Stochastic Linear Isotropic Elasticity Tensor"},{"language":[{"iso":"eng"}],"page":"191-192","citation":{"chicago":"Caylak, Ismail, Nicole Nörenberg, and Rolf Mahnken. “PC Expansion for Material Parameters Using Artificial Data and Statistical Methods.” PAMM, 2016, 191–92. https://doi.org/10.1002/pamm.201610084.","ama":"Caylak I, Nörenberg N, Mahnken R. PC expansion for material parameters using artificial data and statistical methods. PAMM. Published online 2016:191-192. doi:10.1002/pamm.201610084","apa":"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","mla":"Caylak, Ismail, et al. “PC Expansion for Material Parameters Using Artificial Data and Statistical Methods.” PAMM, 2016, pp. 191–92, doi:10.1002/pamm.201610084.","bibtex":"@article{Caylak_Nörenberg_Mahnken_2016, title={PC expansion for material parameters using artificial data and statistical methods}, DOI={10.1002/pamm.201610084}, journal={PAMM}, author={Caylak, Ismail and Nörenberg, Nicole and Mahnken, Rolf}, year={2016}, pages={191–192} }","short":"I. Caylak, N. Nörenberg, R. Mahnken, PAMM (2016) 191–192.","ieee":"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."},"type":"journal_article","year":"2016","doi":"10.1002/pamm.201610084","_id":"19128","date_updated":"2023-01-24T14:16:32Z","date_created":"2020-09-08T10:27:20Z","status":"public","publication_identifier":{"issn":["1617-7061"]},"publication_status":"published","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"publication":"PAMM","author":[{"id":"75","last_name":"Caylak","full_name":"Caylak, Ismail","first_name":"Ismail"},{"first_name":"Nicole","full_name":"Nörenberg, Nicole","last_name":"Nörenberg"},{"first_name":"Rolf","full_name":"Mahnken, Rolf","last_name":"Mahnken","id":"335"}],"user_id":"335","title":"PC expansion for material parameters using artificial data and statistical methods"}]