@Article{duepublico_mods_00078514, author = {Blesgen, Thomas and Neff, Patrizio}, title = {Simple shear in nonlinear Cosserat micropolar elasticity: Existence of minimizers, numerical simulations, and occurrence of microstructure}, year = {2022}, month = {Sep}, day = {19}, keywords = {Cosserat theory; microstructure; calculus of variations; micropolar; generalized continuum}, abstract = {Deformation microstructure is studied for a 1D-shear problem in geometrically nonlinear Cosserat elasticity. Microstructure solutions are described analytically and numerically for zero characteristic length scale.}, note = {<p>Blesgen T, Neff P. Simple shear in nonlinear Cosserat micropolar elasticity: Existence of minimizers, numerical simulations, and occurrence of microstructure. <em>Mathematics and Mechanics of Solids</em>. 2023;28(7):1576-1602. doi:<a href="https://doi.org/10.1177/10812865221122191">10.1177/10812865221122191</a></p> <p>First published online September 19, 2022</p>}, note = {Version of Record / Verlagsversion}, note = {<p>Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG-gef{\"o}rderten) Allianz- bzw. Nationallizenz frei zug{\"a}nglich.</p> <p>This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively.</p>}, note = {deepgreen SAGE}, doi = {10.1177/10812865221122191}, url = {https://duepublico2.uni-due.de/receive/duepublico_mods_00078514}, url = {https://doi.org/10.1177/10812865221122191}, file = {:https://duepublico2.uni-due.de/servlets/MCRFileNodeServlet/duepublico_derivate_00078107/Math_Mech_Solids_2023_28_1576.pdf:PDF}, language = {en} }