Rank 1 Convex Hulls of Isotropic Functions in Dimension 2 by 2.

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F01%3A05010055" target="_blank" >RIV/67985840:_____/01:05010055 - isvavai.cz</a>

Result on the web

—

DOI - Digital Object Identifier

—

Result language

angličtina

Original language name

Rank 1 Convex Hulls of Isotropic Functions in Dimension 2 by 2.

Original language description

Let fi be a rotationally invariant ( with respect to the proper orthogonal group ) function defined on the set M 2x2 af all 2 by 2 matrices. Based on conditions for the rank 1 convexity of fi in terms of signed invariants of A ( to be defined below ), aniterative 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.

Czech name

—

Czech description

—

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

—

Project

<a href="/en/project/GA201%2F00%2F1516" target="_blank" >GA201/00/1516: Microstructure, relaxation, phase transitions, and hysteresis in shape memory alloys</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2001

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mathematica Bohemica

ISSN

0862-7959

e-ISSN

—

Volume of the periodical

126

Issue of the periodical within the volume

2

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

9

Pages from-to

521-529

UT code for WoS article

—

EID of the result in the Scopus database

—