Bibliografie
Journal Article
Stress-driven solution to rate-independent elasto-plasticity with damage at small strains and its computer implementation
,
: Mathematics and Mechanics of Solids vol.22, 6 (2017), p. 1267-1287
: GA14-15264S, GA ČR, GA13-18652S, GA ČR
: rate-independent systems, nonsmooth continuum mechanics, incomplete ductile damage
: http://library.utia.cas.cz/separaty/2016/MTR/valdman-0458555.pdf
(eng): 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
: 10101