Abstract
AbstractWe carry out a variational study for integral functionals that model the stored energy of a heterogeneous material governed by finite-strain elastoplasticity with hardening. Assuming that the composite has a periodic microscopic structure, we establish the $$\Gamma $$
Γ
-convergence of the energies in the limiting of vanishing periodicity. The constraint that plastic deformations belong to $$\textsf{SL}(3)$$
SL
(
3
)
poses the biggest hurdle to the analysis, and we address it by regarding $$\textsf{SL}(3)$$
SL
(
3
)
as a Finsler manifold.
Funder
Austrian Science Fund
Österreichs Agentur für Bildung und Internationalisierung
Czech Technical University in Prague
Publisher
Springer Science and Business Media LLC
Cited by
1 articles.
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