# polyconvex

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## English

### Adjective

polyconvex (not comparable)

1. (mathematics) Exhibiting polyconvexity.
• 2015, Robert J. Martin, Ionel-Dumitrel Ghiba, Patrizio Neff, “Rank-one convexity implies polyconvexity for isotropic, objective and isochoric elastic energies in the two-dimensional case”, in (Please provide the book title or journal name)[1]:
We show that in the two-dimensional case, every objective, isotropic and isochoric energy function which is rank-one convex on ${\displaystyle \mathrm {GL} ^{+}(2)}$ is already polyconvex on ${\displaystyle \mathrm {GL} ^{+}(2)}$.