{"type":"journal_article","issue":"1","title":"A finite strain gradient theory for viscoplasticity by means of micromorphic regularization","volume":22,"year":"2023","date_updated":"2024-05-14T09:15:38Z","doi":"10.1002/pamm.202200074","_id":"54282","publication":"PAMM","language":[{"iso":"eng"}],"abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>Stretching of polycarbonate films leads to the formation of shear bands in the necking zone [1]. Standard viscoplastic material models render mesh size dependent results, which requires a mathematical regularization. To this end, we present a finite strain gradient theory for a viscoplastic, isotropic material model where we extend the model presented in [2] to a micromorphic model by introducing a new micromorphic variable as an additional degree of freedom with its first gradient [3, 4]. The variable here has the meaning of a micro plastic strain, and is coupled with the macro plastic by a micro penalty term, forcing the macro‐plastic strain to be close to the micro‐plastic strain for the targeted shear band regularization effect. We have implemented the model equations as a three dimensional initial boundary value problem in an in house FE‐tool, to simulate different geometries with different thickness and to compare it the experimental tests. The analysis is performed for a uniaxial tensile geometry as well as for a biaxial tensile geometry. The numerical examples show the ability of the model to regularize the shear bands and solve the problem of localization.</jats:p>","lang":"eng"}],"publication_identifier":{"issn":["1617-7061","1617-7061"]},"user_id":"57708","publisher":"Wiley","author":[{"last_name":"Hamdoun","first_name":"Ayoub","id":"57708","full_name":"Hamdoun, Ayoub"},{"full_name":"Mahnken, Rolf","id":"335","first_name":"Rolf","last_name":"Mahnken"}],"intvolume":"        22","status":"public","citation":{"mla":"Hamdoun, Ayoub, and Rolf Mahnken. “A Finite Strain Gradient Theory for Viscoplasticity by Means of Micromorphic Regularization.” <i>PAMM</i>, vol. 22, no. 1, Wiley, 2023, doi:<a href=\"https://doi.org/10.1002/pamm.202200074\">10.1002/pamm.202200074</a>.","ama":"Hamdoun A, Mahnken R. A finite strain gradient theory for viscoplasticity by means of micromorphic regularization. <i>PAMM</i>. 2023;22(1). doi:<a href=\"https://doi.org/10.1002/pamm.202200074\">10.1002/pamm.202200074</a>","ieee":"A. Hamdoun and R. Mahnken, “A finite strain gradient theory for viscoplasticity by means of micromorphic regularization,” <i>PAMM</i>, vol. 22, no. 1, 2023, doi: <a href=\"https://doi.org/10.1002/pamm.202200074\">10.1002/pamm.202200074</a>.","short":"A. Hamdoun, R. Mahnken, PAMM 22 (2023).","bibtex":"@article{Hamdoun_Mahnken_2023, title={A finite strain gradient theory for viscoplasticity by means of micromorphic regularization}, volume={22}, DOI={<a href=\"https://doi.org/10.1002/pamm.202200074\">10.1002/pamm.202200074</a>}, number={1}, journal={PAMM}, publisher={Wiley}, author={Hamdoun, Ayoub and Mahnken, Rolf}, year={2023} }","chicago":"Hamdoun, Ayoub, and Rolf Mahnken. “A Finite Strain Gradient Theory for Viscoplasticity by Means of Micromorphic Regularization.” <i>PAMM</i> 22, no. 1 (2023). <a href=\"https://doi.org/10.1002/pamm.202200074\">https://doi.org/10.1002/pamm.202200074</a>.","apa":"Hamdoun, A., &#38; Mahnken, R. (2023). A finite strain gradient theory for viscoplasticity by means of micromorphic regularization. <i>PAMM</i>, <i>22</i>(1). <a href=\"https://doi.org/10.1002/pamm.202200074\">https://doi.org/10.1002/pamm.202200074</a>"},"date_created":"2024-05-14T09:06:38Z","publication_status":"published"}