0482231 20240103215038.420171129235959.9 85020439236 000402887700002 10.1177/1081286515627674 Stress-driven solution to rate-independent elasto-plasticity with damage at small strains and its computer implementation 21 s. P cav_un_epca*02542741081-2865Mathematics and Mechanics of Solids226 (2017)1267-1287Sage rate-independent systems nonsmooth continuum mechanics incomplete ductile damage cav_un_auth*0243096 D2 – Thermodynamics Roubíček Tomáš UT-L D 2 - Termodynamika D 2 - Thermodynamics CZ Ústav termomechaniky AV ČR, v. v. i. cav_un_auth*0292941 Department of Decision Making Theory Valdman Jan UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Ústav teorie informace a automatizace AV ČR, v. v. i. http://journals.sagepub.com/doi/abs/10.1177/1081286515627674 cav_un_auth*0304434 GA14-15264S GA ČR Quasistatic rate-independent damage combined with linearized plasticity with hardening at small strains is investigated. Fractional-step time discretization is devised with the purpose of obtaining a numerically efficient scheme, possibly converging to a physically relevant stress-driven solution, which however is to be verified a posteriori using a suitable integrated variant of the maximum-dissipation principle. Gradient theories both for damage and for plasticity are considered to make the scheme numerically stable with guaranteed convergence within the class of weak solutions. After finite-element approximation, this scheme is computationally implemented and illustrative 2-dimensional simulations are performed. BA 10000 10100 10101 2018 2 UTIA-B 10000 10100 10101 RIV/67985556:_____/17:00482231!RIV18-AV0-67985556 191975726 dvojí afiliace 2019 V UTIA-B RIV/67985556:_____/17:00482231!RIV18-GA0-67985556 191965054 dvojí afiliace 2019 V UTIA-B UTIA-B BA RVO:61388998 RVO:67985556 http://hdl.handle.net/11104/0278082 S 2 Article Materials Science Multidisciplinary|Mathematics Interdisciplinary Applications|Mechanics 2 Article Materials Science Multidisciplinary|Mathematics Interdisciplinary Applications|Mechanics 2 Article Materials Science Multidisciplinary|Mathematics Interdisciplinary Applications|Mechanics MATERIALSSCIENCE.MULTIDISCIPLINARY|MECHANICS|MATHEMATICS.INTERDISCIPLINARYAPPLICATIONS 1.971 0.924 3.7 0.00248 0.584 1127 0.768 1.972 131 Q1 42.04 74.3 Q3 Q2 1.08 Q1 82.039 2017 85020439236 SCOPUS PUBMED 000402887700002 WOS cav_un_epca*0254274 Mathematics and Mechanics of Solids 1081-2865 1741-3028 Roč. 22 č. 6 2017 1267 1287 Sage