Approximation of dynamic and quasi-static evolution problems in elasto-plasticity by cap models
نویسندگان
چکیده
منابع مشابه
Approximation of Dynamic and Quasi-static Evolution Problems in Elasto-plasticity by Cap Models
This work is devoted to the analysis of elasto-plasticity models arising in soil mechanics. Contrary to the typical models mainly used for metals, it is required here to take into account plastic dilatancy due to the sensitivity of granular materials to hydrostatic pressure. The yield criterion thus depends on the mean stress and the elasticity domain is unbounded and not invariant in the direc...
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Non-associative elasto-plasticity is the working model of plasticity for soil and rock mechanics. Yet, it is usually viewed as non-variational. In this work, we prove a contrario the existence of a variational evolution for such a model under a natural capping assumption on the hydrostatic stresses and a less natural mollification of the stress admissibility constraint. The obtained elasto-plas...
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 2015
ISSN: 0033-569X,1552-4485
DOI: 10.1090/s0033-569x-2015-01376-8