Characterization of polyconvex isotropic functions
We present a singular value polyconvex conjugation. Employing this conjugation, we derive a necessary and sufficient criterion for polyconvexity of isotropic functions by means of the convexity of a function with respect to the signed singular values. Moreover, we present a new criterion for polycon...
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| Sprache: | eng |
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| Zusammenfassung: | We present a singular value polyconvex conjugation. Employing this
conjugation, we derive a necessary and sufficient criterion for polyconvexity
of isotropic functions by means of the convexity of a function with respect to
the signed singular values. Moreover, we present a new criterion for
polyconvexity of isotropic functions by means of matrix invariants. |
|---|---|
| DOI: | 10.48550/arxiv.2304.08385 |