Rank 1 convex hulls of isotropic functions in dimension 2 by 2

Title:

Rank 1 convex hulls of isotropic functions in dimension 2 by 2

Creator:

Šilhavý, M.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:81098528-be9a-4f24-a417-3b01979f5f4c
uuid:81098528-be9a-4f24-a417-3b01979f5f4c

Subject:

rank 1 convexity, relaxation, and stored energies

Type:

model:article and TEXT

Format:

bez média and svazek

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

521-529

Source:

Mathematica bohemica | 2001 Volume:126 | Number:2

Harvested from:

CDK

Metadata only:

false