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- W3015962582 abstract "Abstract We prove results on the relaxation and weak* lower semicontinuity of integral functionals of the form $${cal F}[u]: = int_Omega f left( {displaystyle{1 over 2}left( {nabla u(x) + nabla u{(x)}^T} right)} right) ,{rm d}x,quad u:Omega subset {mathbb R}^dto {mathbb R}^d,$$ over the space BD(Ω) of functions of bounded deformation or over the Temam–Strang space $${rm U}(Omega ): = left{ {uin {rm BD}(Omega ):;,{rm div},uin {rm L}^2(Omega )} right},$$ depending on the growth and shape of the integrand f . Such functionals are interesting, for example, in the study of Hencky plasticity and related models." @default.
- W3015962582 created "2020-04-17" @default.
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- W3015962582 date "2020-04-08" @default.
- W3015962582 modified "2023-09-25" @default.
- W3015962582 title "On the relaxation of integral functionals depending on the symmetrized gradient" @default.
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- W3015962582 doi "https://doi.org/10.1017/prm.2020.22" @default.
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