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.
A lower semicontinuity result for linearised elasto-plasticity coupled with damage in W1,γ, γ > 1 / Crismale, Vito; Orlando, Gianluca. - In: MATHEMATICS IN ENGINEERING. - ISSN 2640-3501. - 2:1(2020), pp. 101-118. [10.3934/mine.2020006]
A lower semicontinuity result for linearised elasto-plasticity coupled with damage in W1,γ, γ > 1
Crismale, Vito;
2020
Abstract
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.File allegati a questo prodotto
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