1. Rank 1 convex hulls of isotropic functions in dimension 2 by 2
- Creator:
- Šilhavý, M.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- rank 1 convexity, relaxation, and stored energies
- Language:
- English
- Description:
- Let f be a rotationally invariant (with respect to the proper orthogonal group) function defined on the set M2×2 of all 2 by 2 matrices. Based on conditions for the rank 1 convexity of f in terms of signed invariants of 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public