Počet záznamů: 1
Perfect plasticity with damage and healing at small strains, its modeling, analysis, and computer implementation
- 1.0458557 - ÚTIA 2017 RIV US eng J - Článek v odborném periodiku
Roubíček, Tomáš - Valdman, Jan
Perfect plasticity with damage and healing at small strains, its modeling, analysis, and computer implementation.
Siam Journal on Applied Mathematics. Roč. 76, č. 1 (2016), s. 314-340. ISSN 0036-1399. E-ISSN 1095-712X
Grant CEP: GA ČR GA13-18652S; GA ČR GA14-15264S
Institucionální podpora: RVO:67985556 ; RVO:61388998
Klíčová slova: Prandtl-Reuss perfect plasticity * bounded-deformation space * incomplete damage
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.670, rok: 2016
http://library.utia.cas.cz/separaty/2016/MTR/valdman-0458557.pdf
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.
Trvalý link: http://hdl.handle.net/11104/0258816
Počet záznamů: 1