D 2008

Non-holonomic constraint forces in field theory in physics

CZUDKOVÁ, Lenka and Jana MUSILOVÁ

Basic information

Original name

Non-holonomic constraint forces in field theory in physics

Name in Czech

Neholonomní vazební síly v teorii pole ve fyzice

Authors

CZUDKOVÁ, Lenka (203 Czech Republic) and Jana MUSILOVÁ (203 Czech Republic, guarantor)

Edition

1. vyd. USA, Differential geometry and its applications, p. 603-613, 11 pp. 2008

Publisher

World Scientific

Other information

Language

English

Type of outcome

Stať ve sborníku

Field of Study

10301 Atomic, molecular and chemical physics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

RIV identification code

RIV/00216224:14310/08:00024927

Organization unit

Faculty of Science

ISBN

978-981-279-060-6

Keywords in English

non-holonomic constrained systems; field theory

Tags

International impact, Reviewed
Změněno: 24/6/2009 21:36, prof. RNDr. Jana Musilová, CSc.

Abstract

V originále

We study non-holonomic constraint forces using the geometrical theory of non-holonomic constrained systems on fibered manifolds with n-dimensional base, n > 1, and their prolongations proposed by Krupková. Properties of so-called Chetaev type constraint forces, that arise as a result of this geometrical theory, are illustrated on concrete physical example from continuum mechanics (more precisely, from elasticity theory). By means of this example the geometrical as well as physical aspects of the theory are analysed. We sketch also the quite general approach to a problem of non-holonomic constraint forces.

In Czech

Studium neholonomnně vázaných systémů v teorii pole v rámci geometrické teorie O. Krupkové na fibrovaných varietách a jejich prodlouženích. Studium vlastností vazebních sil Chetaevova typu. Fyzikální aplikace z oblasti teorie pružnosti.

Links

GA201/06/0922, research and development project
Name: Globální analýza a její aplikace
Investor: Czech Science Foundation
MSM0021622409, plan (intention)
Name: Matematické struktury a jejich fyzikální aplikace
Investor: Ministry of Education, Youth and Sports of the CR, Mathematical structures and their physical applications