Institute of Information Theory and Automation

You are here

Bibliography

Journal Article

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

Roubíček Tomáš, Valdman Jan

: Mathematics and Mechanics of Solids vol.22, 6 (2017), p. 1267-1287

: GA14-15264S, GA ČR

: rate-independent systems, nonsmooth continuum mechanics, incomplete ductile damage

: 10.1177/1081286515627674

: http://journals.sagepub.com/doi/abs/10.1177/1081286515627674

(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

2019-01-07 08:39