elasto-plasticity

A lower semicontinuity result for linearised elasto-plasticity coupled with damage in W1,γ, γ > 1

We prove the lower semicontinuity of functionals of a suitable integral form, arising in the variational
modelling of linearised elasto-plasticity coupled with damage and their lower semicontinuity is crucial in the proof of existence of quasi-static evolutions. This is the first result achieved for subcritical exponents γ < n.

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