M. Silhavy, Mathematical Institute AS CR, Zitna 25, 115 67 Praha 1, Czech Republic, e-mail: silhavy@math.cas.cz
Abstract: Let $f$ be a rotationally invariant (with respect to the proper orthogonal group) function defined on the set $\text{M}^{2\times2}$ of all $2$ by $2$ matrices. Based on conditions for the rank 1 convexity of $f$ in terms of signed invariants of $\bold A$ (to be defined below), an iterative procedure is given for calculating the rank 1 convex hull of a rotationally invariant function. A special case in which the procedure terminates after the second step is determined and examples of the actual calculations are given.
Keywords: rank 1 convexity, relaxation, stored energies
Classification (MSC 2000): 49J45, 74N99
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