For frame-indifferent energies convex in the Cauchy-Green tensor, the quasiconvex envelope equals the occupation-measure relaxation, making the first Lasserre SDP exact under linear boundary conditions and SOS-convexity.
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Semidefinite relaxations for nonlinear elasticity with energies convex in the Cauchy-Green strain tensor
For frame-indifferent energies convex in the Cauchy-Green tensor, the quasiconvex envelope equals the occupation-measure relaxation, making the first Lasserre SDP exact under linear boundary conditions and SOS-convexity.