2007/10/12 by Ulisse Stefanelli, Stefanelli, Ulisse
Computer Science · Engineering · #35K55 #49S05 #74C05 #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #Contact Mechanics and Variational Inequalities #Elasticity and Material Modeling #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.0710.2425
openalex publication_date 2007/10/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a variational principle governing the quasistatic evolution of a linearized elastoplastic material. In case of linear hardening, the novel characterization allows to recover and partly extend some known results and proves itself to be especially well-suited for discussing general approximation and convergence issues. In particular, the variational principle is exploited in order to prove in a novel setting the convergence of time and space-time discretizations as well as to provide some possible a posteriori error control.