Stress-driven solution to rate-independent elasto-plasticity with damage at small strains and its computer implementation

0458555 - ÚTIA 2018 RIV GB eng J - Článek v odborném periodiku
Roubíček, Tomáš - Valdman, Jan
Stress-driven solution to rate-independent elasto-plasticity with damage at small strains and its computer implementation.
Mathematics and Mechanics of Solids. Roč. 22, č. 6 (2017), s. 1267-1287. ISSN 1081-2865. E-ISSN 1741-3028
Grant CEP: GA ČR GA14-15264S; GA ČR GA13-18652S
Institucionální podpora: RVO:67985556 ; RVO:61388998
Klíčová slova: rate-independent systems * nonsmooth continuum mechanics * incomplete ductile damage
Obor OECD: Pure mathematics; Pure mathematics (UT-L)
Impakt faktor: 2.545, rok: 2017
http://library.utia.cas.cz/separaty/2016/MTR/valdman-0458555.pdf

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.
Trvalý link: http://hdl.handle.net/11104/0258814