Quasiconvex relaxation of planar Biot-type energies and the role of determinant constraints

Robert J. Martin, Ionel-Dumitrel Ghiba, Maximilian Köhler +3

We derive the quasiconvex relaxation of the Biot-type energy density $\Vert \sqrt{D{\phi }^{T}D\phi }-I_2{\Vert }^2$ for planar mappings $φ\colon\mathbb{R}^2\to \m…