Differentiable manifolds and the principle of virtual work in continuum mechanics

Marcelo Epstein, Reuven Segev

Research output: Contribution to journalArticlepeer-review

35 Scopus citations

Abstract

A material body is conceived in terms of a global and a local model, the compatibility of which is shown to imply a generalization of the principle of virtual work. The classical notion of stress appears as a particular case of the force associated with the local model when an affine connection is specified in the physical manifold.

Original languageEnglish
Pages (from-to)1243-1245
Number of pages3
JournalJournal of Mathematical Physics
Volume21
Issue number5
DOIs
StatePublished - 1 Jan 1979
Externally publishedYes

Fingerprint

Dive into the research topics of 'Differentiable manifolds and the principle of virtual work in continuum mechanics'. Together they form a unique fingerprint.

Cite this