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

0482231 - ÚT 2018 RIV GB eng J - Journal Article
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
R&D Projects: GA ČR GA14-15264S
Institutional support: RVO:61388998 ; RVO:67985556
Keywords : rate-independent systems * nonsmooth continuum mechanics * incomplete ductile damage
OECD category: Pure mathematics; Pure mathematics (UTIA-B)
Impact factor: 2.545, year: 2017
http://journals.sagepub.com/doi/abs/10.1177/1081286515627674

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.
Permanent Link: http://hdl.handle.net/11104/0278082