0558930 20240402213504.820220711235959.9 85130910733 000833683500001 10.3934/mine.2023030 15 s. P cav_un_epca*0544368Mathematics in Engineering52 (2023)1-15 Kelvin-Voigt rheology visco-elasticity numerical scheme cav_un_auth*0353452 Dondl P. DE cav_un_auth*0432746 Jesenko M. SI 25 cav_un_auth*0101142 Kružík Martin UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0292941 Valdman Jan UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2022/MTR/kruzik-0558930.pdf https://www.aimspress.com/article/doi/10.3934/mine.2023030 8J21AT001 GA MŠk cav_un_auth*0413224 GF21-06569K GA ČR cav_un_auth*0412957 Time-discrete numerical minimization schemes for simple visco-elastic materials in the Kelvin-Voigt rheology at high strains are not well posed because of the non-quasi-convexity of the dissipation functional. A possible solution is to resort to non-simple material models with higherorder gradients of deformations. However, this makes numerical computations much more involved. Here, we propose another approach that relies on local minimizers of the simple material model. Computational tests are provided that show a very good agreement between our model and the original. WOS BA 10000 10100 10102 2024 4 RVO:67985556 https://hdl.handle.net/11104/0333415 S Article Mathematics Interdisciplinary Applications A MATHEMATICS.INTERDISCIPLINARYAPPLICATIONS 1.4 0.9 1.9 0.00123 0.836 339 15 0.844 34.42 1.26 212 Q1 1.000 77 Q3 41.1 Q2 Q2 0.49 Q3 41.1 2023 85130910733 SCOPUS PUBMED 000833683500001 WOS cav_un_epca*0544368 Mathematics in Engineering 5 2 2023 1 15 2640-3501