An integral bound for the strain energy in nonlinear elasticity in terms of the boundary displacements

Shlomo Breuer*, Joseph J. Roseman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

For the displacement boundary value problem in nonlinear elastostatics with zero body force, an integral bound for the strain energy is obtained in terms of the L2-norms of the given boundary displacements and their tangential derivatives (assumed sufficiently small). The constants involved depend upon the strain energy density function and upon the geometry of the domain.

Original languageEnglish
Pages (from-to)21-27
Number of pages7
JournalJournal of Elasticity
Volume9
Issue number1
DOIs
StatePublished - Jan 1979

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