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- W4293503038 abstract "In this paper we prove a lower semicontinuity result of Reshetnyak type for a class of functionals which appear in models for small-strain elasto-plasticity coupled with damage. To do so we characterise the limit of measures $alpha_k,mathrm{E}u_k$ with respect to the weak convergence $alpha_krightharpoonup alpha$ in $W^{1,n}(Omega)$ and the weak$^*$ convergence $u_kstackrel{*}rightharpoonup u$ in $BD(Omega)$, $mathrm{E}$ denoting the symmetrised gradient. A concentration compactness argument shows that the limit has the form $alpha,mathrm{E}u+eta$, with $eta$ supported on an at most countable set." @default.
- W4293503038 created "2022-08-29" @default.
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- W4293503038 date "2017-07-12" @default.
- W4293503038 modified "2023-10-14" @default.
- W4293503038 title "A Reshetnyak-type lower semicontinuity result for linearised elasto-plasticity coupled with damage in $W^{1,n}$" @default.
- W4293503038 doi "https://doi.org/10.48550/arxiv.1707.03801" @default.
- W4293503038 hasPublicationYear "2017" @default.
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