An O(n) invariant nonnegative rank 1 convex function of linear growth is given that is not polyconvex. This answers a recent question [8, p. 182] and [5]. The polyconvex hull of the function is calculated explicitly if n = 2:
summary:A direct proof of the non-polyconvexity of the stored energy function of a Saint Venant-Kirc...
Symmetric quasiconvexity plays a key role for energy minimization in geometrically linear elasticity...
International audienceCombining the definitions set forth by J. Ball in 1977 and by J. Ball, J.C. Cu...
An O(n) invariant nonnegative rank 1 convex function of linear growth is given that is not polyconve...
Isotropic elastic energies which are quadratic in the strain measures of the Seth family are known n...
AbstractFor a long time it has been studied whether rank-one convexity and quasiconvexity give rise ...
In this note sufficient conditions for bounds on the deformation gradient of a minimizer of a variat...
summary:Let $f$ be a function defined on the set ${\mathbf M}^{2\times 2}$ of all $2$ by $2$ matrice...
summary:Let $f$ be a function defined on the set ${\mathbf M}^{2\times 2}$ of all $2$ by $2$ matrice...
International audienceWe propose in this paper a definition of a “polyconvex function on a surface”,...
We give a short, self-contained argument showing that, for compact connected sets in M2x2 which are ...
Symmetric quasiconvexity plays a key role for energy minimization in geometrically linear elasticity...
Symmetric quasiconvexity plays a key role for energy minimization in geometrically linear elasticity...
Symmetric quasiconvexity plays a key role for energy minimization in geometrically linear elasticity...
summary:A direct proof of the non-polyconvexity of the stored energy function of a Saint Venant-Kirc...
summary:A direct proof of the non-polyconvexity of the stored energy function of a Saint Venant-Kirc...
Symmetric quasiconvexity plays a key role for energy minimization in geometrically linear elasticity...
International audienceCombining the definitions set forth by J. Ball in 1977 and by J. Ball, J.C. Cu...
An O(n) invariant nonnegative rank 1 convex function of linear growth is given that is not polyconve...
Isotropic elastic energies which are quadratic in the strain measures of the Seth family are known n...
AbstractFor a long time it has been studied whether rank-one convexity and quasiconvexity give rise ...
In this note sufficient conditions for bounds on the deformation gradient of a minimizer of a variat...
summary:Let $f$ be a function defined on the set ${\mathbf M}^{2\times 2}$ of all $2$ by $2$ matrice...
summary:Let $f$ be a function defined on the set ${\mathbf M}^{2\times 2}$ of all $2$ by $2$ matrice...
International audienceWe propose in this paper a definition of a “polyconvex function on a surface”,...
We give a short, self-contained argument showing that, for compact connected sets in M2x2 which are ...
Symmetric quasiconvexity plays a key role for energy minimization in geometrically linear elasticity...
Symmetric quasiconvexity plays a key role for energy minimization in geometrically linear elasticity...
Symmetric quasiconvexity plays a key role for energy minimization in geometrically linear elasticity...
summary:A direct proof of the non-polyconvexity of the stored energy function of a Saint Venant-Kirc...
summary:A direct proof of the non-polyconvexity of the stored energy function of a Saint Venant-Kirc...
Symmetric quasiconvexity plays a key role for energy minimization in geometrically linear elasticity...
International audienceCombining the definitions set forth by J. Ball in 1977 and by J. Ball, J.C. Cu...
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