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- W3128356511 abstract "We study some particular cases of the $n$-well problem in two-dimensional linear elasticity. Assuming that every well in $mathcal{U}subsetmathbb{R}^{2times 2}_text{sym}$ belong to the same two-dimensional affine subspace, we characterize the symmetric lamination convex hull $L^e(mathcal{U})$ for any number of wells in terms of the symmetric lamination convex hull of all three-well subsets contained in $mathcal{U}$. For a family of four-well sets where two pairs of wells are rank-one compatible, we show that the symmetric lamination convex and quasiconvex hulls coincide, but are strictly contained in its convex hull $C(mathcal{U})$. We extend this result to some particular configurations of $n$ wells. Most of the proofs are constructive, and we also present explicit examples." @default.
- W3128356511 created "2021-02-15" @default.
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- W3128356511 date "2020-12-11" @default.
- W3128356511 modified "2023-10-01" @default.
- W3128356511 title "On the symmetric lamination convex and quasiconvex hull for the coplanar n-well problem in two dimensions." @default.
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