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Mahnken, “Damage simulation of fiber reinforced composites using mean‐field homogenization methods,” <i>PAMM</i>, 2019, doi: <a href=\"https://doi.org/10.1002/pamm.201900370\">10.1002/pamm.201900370</a>.","chicago":"Lenz, Peter, and Rolf Mahnken. “Damage Simulation of Fiber Reinforced Composites Using Mean‐field Homogenization Methods.” <i>PAMM</i>, 2019. <a href=\"https://doi.org/10.1002/pamm.201900370\">https://doi.org/10.1002/pamm.201900370</a>.","ama":"Lenz P, Mahnken R. Damage simulation of fiber reinforced composites using mean‐field homogenization methods. <i>PAMM</i>. Published online 2019. doi:<a href=\"https://doi.org/10.1002/pamm.201900370\">10.1002/pamm.201900370</a>"},"year":"2019","publication_identifier":{"issn":["1617-7061","1617-7061"]},"publication_status":"published","language":[{"iso":"eng"}],"department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"user_id":"335","_id":"19424","status":"public","publication":"PAMM","type":"journal_article"},{"status":"public","type":"book","language":[{"iso":"eng"}],"department":[{"_id":"9"},{"_id":"154"}],"user_id":"335","_id":"19326","citation":{"ama":"Mahnken R. <i>Lehrbuch Der Technischen Mechanik - Band 2: Elastostatik</i>.; 2019. doi:<a href=\"https://doi.org/10.1007/978-3-662-58166-7\">10.1007/978-3-662-58166-7</a>","chicago":"Mahnken, Rolf. <i>Lehrbuch Der Technischen Mechanik - Band 2: Elastostatik</i>. Berlin, Heidelberg, 2019. <a href=\"https://doi.org/10.1007/978-3-662-58166-7\">https://doi.org/10.1007/978-3-662-58166-7</a>.","ieee":"R. Mahnken, <i>Lehrbuch der Technischen Mechanik - Band 2: Elastostatik</i>. Berlin, Heidelberg, 2019.","bibtex":"@book{Mahnken_2019, place={Berlin, Heidelberg}, title={Lehrbuch der Technischen Mechanik - Band 2: Elastostatik}, DOI={<a href=\"https://doi.org/10.1007/978-3-662-58166-7\">10.1007/978-3-662-58166-7</a>}, author={Mahnken, Rolf}, year={2019} }","short":"R. Mahnken, Lehrbuch Der Technischen Mechanik - Band 2: Elastostatik, Berlin, Heidelberg, 2019.","mla":"Mahnken, Rolf. <i>Lehrbuch Der Technischen Mechanik - Band 2: Elastostatik</i>. 2019, doi:<a href=\"https://doi.org/10.1007/978-3-662-58166-7\">10.1007/978-3-662-58166-7</a>.","apa":"Mahnken, R. (2019). <i>Lehrbuch der Technischen Mechanik - Band 2: Elastostatik</i>. <a href=\"https://doi.org/10.1007/978-3-662-58166-7\">https://doi.org/10.1007/978-3-662-58166-7</a>"},"place":"Berlin, Heidelberg","year":"2019","publication_identifier":{"isbn":["9783662581650","9783662581667"]},"quality_controlled":"1","publication_status":"published","doi":"10.1007/978-3-662-58166-7","title":"Lehrbuch der Technischen Mechanik - Band 2: Elastostatik","date_created":"2020-09-11T18:26:08Z","author":[{"last_name":"Mahnken","full_name":"Mahnken, Rolf","id":"335","first_name":"Rolf"}],"date_updated":"2023-01-24T15:19:58Z"},{"type":"dissertation","status":"public","user_id":"85414","department":[{"_id":"9"},{"_id":"154"}],"_id":"42187","language":[{"iso":"eng"}],"citation":{"short":"K.-U. Widany, Adaptive Finite Element Methods for Direct and Inverse Problems in Nonlinear Solid Mechanics, Shaker, 2019.","mla":"Widany, Kai-Uwe. <i>Adaptive Finite Element Methods for Direct and Inverse Problems in Nonlinear Solid Mechanics</i>. Shaker, 2019.","bibtex":"@book{Widany_2019, title={Adaptive Finite Element Methods for Direct and Inverse Problems in Nonlinear Solid Mechanics}, publisher={Shaker}, author={Widany, Kai-Uwe}, year={2019} }","apa":"Widany, K.-U. (2019). <i>Adaptive Finite Element Methods for Direct and Inverse Problems in Nonlinear Solid Mechanics</i>. Shaker.","ama":"Widany K-U. <i>Adaptive Finite Element Methods for Direct and Inverse Problems in Nonlinear Solid Mechanics</i>. Shaker; 2019.","chicago":"Widany, Kai-Uwe. <i>Adaptive Finite Element Methods for Direct and Inverse Problems in Nonlinear Solid Mechanics</i>. Shaker, 2019.","ieee":"K.-U. Widany, <i>Adaptive Finite Element Methods for Direct and Inverse Problems in Nonlinear Solid Mechanics</i>. Shaker, 2019."},"year":"2019","author":[{"first_name":"Kai-Uwe","last_name":"Widany","full_name":"Widany, Kai-Uwe"}],"supervisor":[{"last_name":"Mahnken","full_name":"Mahnken, Rolf","id":"335","first_name":"Rolf"}],"date_created":"2023-02-17T12:07:17Z","date_updated":"2023-02-17T12:07:38Z","publisher":"Shaker","title":"Adaptive Finite Element Methods for Direct and Inverse Problems in Nonlinear Solid Mechanics"},{"_id":"42190","department":[{"_id":"9"},{"_id":"154"}],"user_id":"85414","language":[{"iso":"eng"}],"type":"dissertation","status":"public","date_updated":"2023-02-17T12:16:32Z","publisher":"Shaker","supervisor":[{"full_name":"Mahnken, Rolf","id":"335","last_name":"Mahnken","first_name":"Rolf"}],"date_created":"2023-02-17T12:16:10Z","author":[{"last_name":"Damman","full_name":"Damman, Christian","first_name":"Christian"}],"title":"Experimental Characterization and Constitutive Modeling of Reinforced Thermoplastic and Thermosetting Polymers","year":"2019","citation":{"chicago":"Damman, Christian. <i>Experimental Characterization and Constitutive Modeling of Reinforced Thermoplastic and Thermosetting Polymers</i>. Shaker, 2019.","ieee":"C. Damman, <i>Experimental Characterization and Constitutive Modeling of Reinforced Thermoplastic and Thermosetting Polymers</i>. Shaker, 2019.","ama":"Damman C. <i>Experimental Characterization and Constitutive Modeling of Reinforced Thermoplastic and Thermosetting Polymers</i>. Shaker; 2019.","mla":"Damman, Christian. <i>Experimental Characterization and Constitutive Modeling of Reinforced Thermoplastic and Thermosetting Polymers</i>. Shaker, 2019.","bibtex":"@book{Damman_2019, title={Experimental Characterization and Constitutive Modeling of Reinforced Thermoplastic and Thermosetting Polymers}, publisher={Shaker}, author={Damman, Christian}, year={2019} }","short":"C. Damman, Experimental Characterization and Constitutive Modeling of Reinforced Thermoplastic and Thermosetting Polymers, Shaker, 2019.","apa":"Damman, C. (2019). <i>Experimental Characterization and Constitutive Modeling of Reinforced Thermoplastic and Thermosetting Polymers</i>. Shaker."}},{"title":"Adaptive Methods in the Mechanics of Heterogeneous Materials","author":[{"first_name":"Xiaozhe","last_name":"Ju","full_name":"Ju, Xiaozhe"}],"date_created":"2023-02-17T12:18:32Z","supervisor":[{"first_name":"Rolf","last_name":"Mahnken","id":"335","full_name":"Mahnken, Rolf"}],"date_updated":"2023-02-17T12:18:51Z","citation":{"apa":"Ju, X. (2019). <i>Adaptive Methods in the Mechanics of Heterogeneous Materials</i>.","mla":"Ju, Xiaozhe. <i>Adaptive Methods in the Mechanics of Heterogeneous Materials</i>. 2019.","bibtex":"@book{Ju_2019, title={Adaptive Methods in the Mechanics of Heterogeneous Materials}, author={Ju, Xiaozhe}, year={2019} }","short":"X. Ju, Adaptive Methods in the Mechanics of Heterogeneous Materials, 2019.","ama":"Ju X. <i>Adaptive Methods in the Mechanics of Heterogeneous Materials</i>.; 2019.","chicago":"Ju, Xiaozhe. <i>Adaptive Methods in the Mechanics of Heterogeneous Materials</i>, 2019.","ieee":"X. Ju, <i>Adaptive Methods in the Mechanics of Heterogeneous Materials</i>. 2019."},"year":"2019","language":[{"iso":"eng"}],"department":[{"_id":"9"},{"_id":"154"}],"user_id":"85414","_id":"42191","status":"public","type":"dissertation"},{"_id":"42188","department":[{"_id":"9"},{"_id":"154"}],"user_id":"85414","language":[{"iso":"eng"}],"type":"dissertation","status":"public","date_updated":"2023-02-20T13:29:58Z","author":[{"first_name":"Chun","full_name":"Cheng, Chun","last_name":"Cheng"}],"date_created":"2023-02-17T12:13:52Z","supervisor":[{"first_name":"Rolf","full_name":"Mahnken, Rolf","id":"335","last_name":"Mahnken"}],"title":"A multi-mechanism model for cutting simulations combining asymmetric effects and gradient phase transformations","year":"2019","citation":{"short":"C. Cheng, A Multi-Mechanism Model for Cutting Simulations Combining Asymmetric Effects and Gradient Phase Transformations, 2019.","mla":"Cheng, Chun. <i>A Multi-Mechanism Model for Cutting Simulations Combining Asymmetric Effects and Gradient Phase Transformations</i>. 2019.","bibtex":"@book{Cheng_2019, title={A multi-mechanism model for cutting simulations combining asymmetric effects and gradient phase transformations}, author={Cheng, Chun}, year={2019} }","apa":"Cheng, C. (2019). <i>A multi-mechanism model for cutting simulations combining asymmetric effects and gradient phase transformations</i>.","ieee":"C. Cheng, <i>A multi-mechanism model for cutting simulations combining asymmetric effects and gradient phase transformations</i>. 2019.","chicago":"Cheng, Chun. <i>A Multi-Mechanism Model for Cutting Simulations Combining Asymmetric Effects and Gradient Phase Transformations</i>, 2019.","ama":"Cheng C. <i>A Multi-Mechanism Model for Cutting Simulations Combining Asymmetric Effects and Gradient Phase Transformations</i>.; 2019."}},{"abstract":[{"text":"Bainite is a steel microstructure consisting of three phases, bainitic ferrite, austenite and carbides. It forms in two different morphologies, upper and lower bainite, where different diffusion mechanisms are dominant. The aim of this work is to simulate both transformations within a unified model. To this end, we extend an own previously published model for lower bainite with diffusion across the phase interface. As a central idea we introduce weighted Helmholtz energy functions and a weighted mobility tensor, respectively. The individual Helmholtz energy functions and mobility terms are related to the different diffusion mechanisms which are responsible for the formation of both morphologies. Two representative examples illustrate the capability of the coupled phase field/diffusion model and show the expected behaviour.","lang":"eng"}],"status":"public","type":"journal_article","publication":"International Journal of Solids and Structures","keyword":["Coupled phase field/diffusion model","Bainite","Multiphase field method","Cahn–Hilliard diffusion","Diffusion across the interface","Lower bainitic transformation","Upper bainitic transformation","Thermodynamic framework","Microforce balance"],"language":[{"iso":"eng"}],"_id":"9899","user_id":"78813","department":[{"_id":"154"}],"year":"2018","citation":{"chicago":"Düsing, M., and R. Mahnken. “„A Coupled Phase Field/Diffusion Model for Upper and Lower Bainitic Transformation”.” <i>International Journal of Solids and Structures</i> 135 (2018): 172–83.","ieee":"M. Düsing and R. Mahnken, “„A coupled phase field/diffusion model for upper and lower bainitic transformation”,” <i>International Journal of Solids and Structures</i>, vol. 135, pp. 172–183, 2018.","ama":"Düsing M, Mahnken R. „A coupled phase field/diffusion model for upper and lower bainitic transformation”. <i>International Journal of Solids and Structures</i>. 2018;135:172-183.","apa":"Düsing, M., &#38; Mahnken, R. (2018). „A coupled phase field/diffusion model for upper and lower bainitic transformation”. <i>International Journal of Solids and Structures</i>, <i>135</i>, 172–183.","short":"M. Düsing, R. Mahnken, International Journal of Solids and Structures 135 (2018) 172–183.","bibtex":"@article{Düsing_Mahnken_2018, title={„A coupled phase field/diffusion model for upper and lower bainitic transformation”}, volume={135}, journal={International Journal of Solids and Structures}, publisher={Elsevier}, author={Düsing, M. and Mahnken, R.}, year={2018}, pages={172–183} }","mla":"Düsing, M., and R. Mahnken. “„A Coupled Phase Field/Diffusion Model for Upper and Lower Bainitic Transformation”.” <i>International Journal of Solids and Structures</i>, vol. 135, Elsevier, 2018, pp. 172–83."},"page":"172-183","intvolume":"       135","publication_status":"published","publication_identifier":{"issn":["0020-7683"]},"title":"„A coupled phase field/diffusion model for upper and lower bainitic transformation”","date_updated":"2019-05-21T13:12:27Z","publisher":"Elsevier","author":[{"last_name":"Düsing","full_name":"Düsing, M.","first_name":"M."},{"last_name":"Mahnken","full_name":"Mahnken, R.","first_name":"R."}],"date_created":"2019-05-21T13:03:05Z","volume":135},{"status":"public","publication":"Archive of Applied Mechanics","type":"journal_article","language":[{"iso":"eng"}],"_id":"9933","department":[{"_id":"154"}],"user_id":"78813","year":"2018","page":"2081-2099","citation":{"chicago":"Mahnken, Rolf, Peter Lenz, and Christian Dammann. “‘A Least Squares Approach for Effective Shear Properties in an n-Layered Sphere Model.’” <i>Archive of Applied Mechanics</i>, 2018, 2081–99. <a href=\"https://doi.org/10.1007/s00419-018-1431-5\">https://doi.org/10.1007/s00419-018-1431-5</a>.","ieee":"R. Mahnken, P. Lenz, and C. Dammann, “‘A least squares approach for effective shear properties in an n-layered sphere model,’” <i>Archive of Applied Mechanics</i>, pp. 2081–2099, 2018.","ama":"Mahnken R, Lenz P, Dammann C. “A least squares approach for effective shear properties in an n-layered sphere model.” <i>Archive of Applied Mechanics</i>. 2018:2081-2099. doi:<a href=\"https://doi.org/10.1007/s00419-018-1431-5\">10.1007/s00419-018-1431-5</a>","short":"R. Mahnken, P. Lenz, C. Dammann, Archive of Applied Mechanics (2018) 2081–2099.","mla":"Mahnken, Rolf, et al. “‘A Least Squares Approach for Effective Shear Properties in an n-Layered Sphere Model.’” <i>Archive of Applied Mechanics</i>, 2018, pp. 2081–99, doi:<a href=\"https://doi.org/10.1007/s00419-018-1431-5\">10.1007/s00419-018-1431-5</a>.","bibtex":"@article{Mahnken_Lenz_Dammann_2018, title={“A least squares approach for effective shear properties in an n-layered sphere model”}, DOI={<a href=\"https://doi.org/10.1007/s00419-018-1431-5\">10.1007/s00419-018-1431-5</a>}, journal={Archive of Applied Mechanics}, author={Mahnken, Rolf and Lenz, Peter and Dammann, Christian}, year={2018}, pages={2081–2099} }","apa":"Mahnken, R., Lenz, P., &#38; Dammann, C. (2018). “A least squares approach for effective shear properties in an n-layered sphere model.” <i>Archive of Applied Mechanics</i>, 2081–2099. <a href=\"https://doi.org/10.1007/s00419-018-1431-5\">https://doi.org/10.1007/s00419-018-1431-5</a>"},"publication_identifier":{"issn":["0939-1533","1432-0681"]},"publication_status":"published","title":"\"A least squares approach for effective shear properties in an n-layered sphere model\"","doi":"10.1007/s00419-018-1431-5","date_updated":"2019-05-24T12:55:04Z","date_created":"2019-05-24T11:58:56Z","author":[{"first_name":"Rolf","last_name":"Mahnken","full_name":"Mahnken, Rolf"},{"full_name":"Lenz, Peter","last_name":"Lenz","first_name":"Peter"},{"full_name":"Dammann, Christian","last_name":"Dammann","first_name":"Christian"}]},{"date_created":"2019-05-24T12:35:31Z","author":[{"first_name":"Christian","full_name":"Dammann, Christian","last_name":"Dammann"},{"first_name":"Ismail","full_name":"Caylak, Ismail","last_name":"Caylak"},{"first_name":"Rolf","full_name":"Mahnken, Rolf","last_name":"Mahnken"}],"date_updated":"2019-05-24T12:54:56Z","doi":"10.1002/gamm.201800003","title":"\"Sequential biaxial stretching of polycarbonate-films for characterization of strain-induced anisotropy\"","publication_status":"published","publication_identifier":{"issn":["0936-7195"]},"citation":{"chicago":"Dammann, Christian, Ismail Caylak, and Rolf Mahnken. “‘Sequential Biaxial Stretching of Polycarbonate-Films for Characterization of Strain-Induced Anisotropy.’” <i>GAMM-Mitteilungen</i>, 2018. <a href=\"https://doi.org/10.1002/gamm.201800003\">https://doi.org/10.1002/gamm.201800003</a>.","ieee":"C. Dammann, I. Caylak, and R. Mahnken, “‘Sequential biaxial stretching of polycarbonate-films for characterization of strain-induced anisotropy,’” <i>GAMM-Mitteilungen</i>, 2018.","ama":"Dammann C, Caylak I, Mahnken R. “Sequential biaxial stretching of polycarbonate-films for characterization of strain-induced anisotropy.” <i>GAMM-Mitteilungen</i>. 2018. doi:<a href=\"https://doi.org/10.1002/gamm.201800003\">10.1002/gamm.201800003</a>","short":"C. Dammann, I. Caylak, R. Mahnken, GAMM-Mitteilungen (2018).","mla":"Dammann, Christian, et al. “‘Sequential Biaxial Stretching of Polycarbonate-Films for Characterization of Strain-Induced Anisotropy.’” <i>GAMM-Mitteilungen</i>, e201800003, 2018, doi:<a href=\"https://doi.org/10.1002/gamm.201800003\">10.1002/gamm.201800003</a>.","bibtex":"@article{Dammann_Caylak_Mahnken_2018, title={“Sequential biaxial stretching of polycarbonate-films for characterization of strain-induced anisotropy”}, DOI={<a href=\"https://doi.org/10.1002/gamm.201800003\">10.1002/gamm.201800003</a>}, number={e201800003}, journal={GAMM-Mitteilungen}, author={Dammann, Christian and Caylak, Ismail and Mahnken, Rolf}, year={2018} }","apa":"Dammann, C., Caylak, I., &#38; Mahnken, R. (2018). “Sequential biaxial stretching of polycarbonate-films for characterization of strain-induced anisotropy.” <i>GAMM-Mitteilungen</i>. <a href=\"https://doi.org/10.1002/gamm.201800003\">https://doi.org/10.1002/gamm.201800003</a>"},"year":"2018","user_id":"78813","department":[{"_id":"154"}],"_id":"9934","language":[{"iso":"eng"}],"article_number":"e201800003","type":"journal_article","publication":"GAMM-Mitteilungen","status":"public"},{"language":[{"iso":"eng"}],"department":[{"_id":"154"}],"user_id":"78813","_id":"9935","status":"public","publication":"PAMM","type":"journal_article","doi":"10.1002/pamm.201710020","title":"A multivariate stochastic material model with correlated material parameters","author":[{"full_name":"Penner, Eduard","last_name":"Penner","first_name":"Eduard"},{"first_name":"Ismail","full_name":"Caylak, Ismail","last_name":"Caylak"},{"first_name":"Rolf","full_name":"Mahnken, Rolf","last_name":"Mahnken"}],"date_created":"2019-05-24T12:40:18Z","date_updated":"2019-05-24T12:54:48Z","page":"67-68","citation":{"ama":"Penner E, Caylak I, Mahnken R. A multivariate stochastic material model with correlated material parameters. <i>PAMM</i>. 2018:67-68. doi:<a href=\"https://doi.org/10.1002/pamm.201710020\">10.1002/pamm.201710020</a>","ieee":"E. Penner, I. Caylak, and R. Mahnken, “A multivariate stochastic material model with correlated material parameters,” <i>PAMM</i>, pp. 67–68, 2018.","chicago":"Penner, Eduard, Ismail Caylak, and Rolf Mahnken. “A Multivariate Stochastic Material Model with Correlated Material Parameters.” <i>PAMM</i>, 2018, 67–68. <a href=\"https://doi.org/10.1002/pamm.201710020\">https://doi.org/10.1002/pamm.201710020</a>.","bibtex":"@article{Penner_Caylak_Mahnken_2018, title={A multivariate stochastic material model with correlated material parameters}, DOI={<a href=\"https://doi.org/10.1002/pamm.201710020\">10.1002/pamm.201710020</a>}, journal={PAMM}, author={Penner, Eduard and Caylak, Ismail and Mahnken, Rolf}, year={2018}, pages={67–68} }","short":"E. Penner, I. Caylak, R. Mahnken, PAMM (2018) 67–68.","mla":"Penner, Eduard, et al. “A Multivariate Stochastic Material Model with Correlated Material Parameters.” <i>PAMM</i>, 2018, pp. 67–68, doi:<a href=\"https://doi.org/10.1002/pamm.201710020\">10.1002/pamm.201710020</a>.","apa":"Penner, E., Caylak, I., &#38; Mahnken, R. (2018). A multivariate stochastic material model with correlated material parameters. <i>PAMM</i>, 67–68. <a href=\"https://doi.org/10.1002/pamm.201710020\">https://doi.org/10.1002/pamm.201710020</a>"},"year":"2018","publication_identifier":{"issn":["1617-7061"]},"publication_status":"published"},{"_id":"9936","user_id":"78813","department":[{"_id":"154"}],"language":[{"iso":"eng"}],"type":"journal_article","publication":"PAMM","status":"public","date_updated":"2019-05-24T12:54:42Z","author":[{"first_name":"Xiaozhe","last_name":"Ju","full_name":"Ju, Xiaozhe"},{"first_name":"Rolf","last_name":"Mahnken","full_name":"Mahnken, Rolf"}],"date_created":"2019-05-24T12:42:44Z","title":"\"Error-controlled homogenization for a class of linear elastic composite problems\"","doi":"10.1002/pamm.201710270","publication_status":"published","publication_identifier":{"issn":["1617-7061"]},"year":"2018","citation":{"ieee":"X. Ju and R. Mahnken, “‘Error-controlled homogenization for a class of linear elastic composite problems,’” <i>PAMM</i>, pp. 601–602, 2018.","chicago":"Ju, Xiaozhe, and Rolf Mahnken. “‘Error-Controlled Homogenization for a Class of Linear Elastic Composite Problems.’” <i>PAMM</i>, 2018, 601–2. <a href=\"https://doi.org/10.1002/pamm.201710270\">https://doi.org/10.1002/pamm.201710270</a>.","ama":"Ju X, Mahnken R. “Error-controlled homogenization for a class of linear elastic composite problems.” <i>PAMM</i>. 2018:601-602. doi:<a href=\"https://doi.org/10.1002/pamm.201710270\">10.1002/pamm.201710270</a>","bibtex":"@article{Ju_Mahnken_2018, title={“Error-controlled homogenization for a class of linear elastic composite problems”}, DOI={<a href=\"https://doi.org/10.1002/pamm.201710270\">10.1002/pamm.201710270</a>}, journal={PAMM}, author={Ju, Xiaozhe and Mahnken, Rolf}, year={2018}, pages={601–602} }","mla":"Ju, Xiaozhe, and Rolf Mahnken. “‘Error-Controlled Homogenization for a Class of Linear Elastic Composite Problems.’” <i>PAMM</i>, 2018, pp. 601–02, doi:<a href=\"https://doi.org/10.1002/pamm.201710270\">10.1002/pamm.201710270</a>.","short":"X. Ju, R. Mahnken, PAMM (2018) 601–602.","apa":"Ju, X., &#38; Mahnken, R. (2018). “Error-controlled homogenization for a class of linear elastic composite problems.” <i>PAMM</i>, 601–602. <a href=\"https://doi.org/10.1002/pamm.201710270\">https://doi.org/10.1002/pamm.201710270</a>"},"page":"601-602"}]