0458557 20240103212133.420160412235959.9 000371228400014 84960366725 10.1137/15M1019647 27 s. P cav_un_epca*02550700036-1399761 (2016)314-340SIAM Society for Industrial and Applied Mathematics Prandtl-Reuss perfect plasticity bounded-deformation space incomplete damage cav_un_auth*0243096 Roubíček Tomáš D 2 - Termodynamika D 2 - Thermodynamics UT-L D2 – Thermodynamics Ústav termomechaniky AV ČR, v. v. i. cav_un_auth*0292941 Valdman Jan Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2016/MTR/valdman-0458557.pdf GA13-18652S GA ČR cav_un_auth*0292653 GA14-15264S GA ČR cav_un_auth*0304434 The quasistatic, Prandtl-Reuss perfect plasticity at small strains is combined with a gradient, reversible (i.e., admitting healing) damage which influences both the elastic moduli and the yield stress. Existence of weak solutions of the resulting system of variational inequalities is proved by a suitable fractional-step discretization in time with guaranteed numerical stability and convergence. After finite-element approximation, this scheme is computationally implemented and illustrative two-dimensional simulations are performed. The model allows, e.g., for application in geophysical modeling of reoccurring rupture of lithospheric faults. Resulting incremental problems are solved in MATLAB by quasi-Newton method to resolve the elastoplasticity component of the solution, while the damage component is obtained by solving a quadratic programming problem. 2017 BA 4 A hod 4ah 20231122141631.3 RVO:67985556 RVO:61388998 http://hdl.handle.net/11104/0258816 1 Department of Decision Making Theory UTIA-B 10102 MATHEMATICS, APPLIED S 1* Article Mathematics Applied MATHEMATICS.APPLIED 1.880 0.283 999.9 0.00797 1.091 6232 1.068 Q2 1.568 106 Q1 82.769 84.5 Q1 Q1 84.51 2016 Soubory v repozitáři: valdman-0458557.pdf 84960366725 SCOPUS 000371228400014 WOS cav_un_epca*0255070 Siam Journal on Applied Mathematics 0036-1399 1095-712X Roč. 76 č. 1 2016 314 340 SIAM Society for Industrial and Applied Mathematics