Bibliographic Details
| Title: |
On the Symmetric Lamination Convex and Quasiconvex Hull for the Coplanar n-Well Problem in Two Dimensions. |
| Authors: |
Capella, A.1 (AUTHOR), Morales, L.1 (AUTHOR) lmm@ciencias.unam.mx |
| Source: |
Journal of Elasticity. Jan2022, Vol. 148 Issue 1, p27-54. 28p. |
| Subjects: |
Elasticity, Cones, Convex sets |
| Abstract: |
We study some particular cases of the n -well problem in two-dimensional linear elasticity. Assuming that every well in U ⊂ R sym 2 × 2 belong to the same two-dimensional affine subspace, we characterize the symmetric lamination convex hull L e (U) for any number of wells in terms of the symmetric lamination convex hull of all three-well subsets contained in 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 (U) . We extend this result to some particular configurations of n wells. Most of the proofs are constructive, and we also present explicit examples. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
