Geodesic
An $O(n)$ invariant rank 1 convex function that is not polyconvex
Theoretical and applied mechanics, 28-29 (2002) no. 1, p. 325

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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 $n=2$. 
M. Šilhavý. An $O(n)$ invariant rank 1 convex function that is not polyconvex. Theoretical and applied mechanics, 28-29 (2002) no. 1, p. 325 . doi: 10.2298/TAM0229325S
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