0523776 20240103223948.820200414235959.9 000535725100005 85083079955 10.1016/j.ijsolstr.2020.03.006 9 s. P cav_un_epca*02534370020-76831951 (2020)57-65Elsevier Gradient polyconvexity Microstructure formation Nonlinear elasticity cav_un_auth*0084149 50 Horák M. CZ cav_un_auth*0101142 Department of Decision Making Theory 50 Kružík Martin UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR K Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2020/MTR/kruzik-0523776.pdf https://www.sciencedirect.com/science/article/pii/S0020768320300949 cav_un_auth*0365435 GA18-03834S GA ČR Gradient polyconvex materials are nonsimple materials where we do not assume smoothness of the elastic strain but instead regularity of minors of the strain is required. This allows for a larger class of admissible deformations than in the case of second-grade materials. We describe a possible implementation of gradient polyconvex elastic energies in nonlinear finite strain elastostatics. Besides, a new geometric interpretation of gradient-polyconvexity is given and it is compared with standard second-grade materials. Finally, we demonstrate application of the proposed approach using two different models, namely, a St.-Venant Kirchhoff material and a double well stored energy density. WOS BA 10000 10100 10102 2021 2 RVO:67985556 http://hdl.handle.net/11104/0308089 1 S 3+4 Article Mechanics C MECHANICS 3.750 0.924 12.5 0.01772 0.922 30567 207 1.229 46.62 3.93 4139 Q1 3.526 450 Q1 62.183 75.9 Q2 Q1 0.98 Q2 75.926 2020 85083079955 SCOPUS PUBMED 000535725100005 WOS cav_un_epca*0253437 International Journal of Solids and Structures 0020-7683 1879-2146 Roč. 195 č. 1 2020 57 65 Elsevier