| Abstract: |
| The variational treatment of evolutionary nonassociative elasto-plasticity at
finite strains remains unexplored. In this direction, following the concept
of energetic solutions, we present an existence result for measure-valued so-
lutions of the quasistatic evolution problem which are stable and balance
the energy. In particular, we apply a modification of the standard time-
discretization scheme, considering Young measures generated by piecewise
constant interpolants of time-discrete solutions of a properly defined mini-
mization problem. A key point in our analysis is the limit passage in the
dissipation. The later calls for time-continuity properties of the stresses
which are not expected in the quasistatic framework. To overcome this ob-
stacle we introduce a regularization of the generalized stress in the definition
of our energetic solutions. |
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