On the Saint-Venant principle in the case of infinite energy

Yevgeni Shenker, Joseph J. Roseman

Research output: Contribution to journalArticlepeer-review

Abstract

Estimates on the distribution of the elastic energy in a cylindrical domain in the context of linear elasticity are obtained. The estimates remain valid when the total elastic energy is infinite, and they can be used to establish Saint-Venant's principle without an assumption about finiteness of the total energy. Examples of boundary conditions resulting in infinite energy are constructed in the context of both linear elastostatics and special finite elastostatics, where a quadratic strain energy density function is assumed. The examples show that estimates of the type obtained are sometimes necessary. The results obtained are valid with obvious modifications in a space of any dimension n≥2.

Original languageEnglish
Pages (from-to)55-68
Number of pages14
JournalJournal of Elasticity
Volume30
Issue number1
DOIs
StatePublished - Jan 1993

Keywords

  • AMS(MOS) subject classifications: 73C10, 35B40, also 73C50, 35B05, 35J25, 35J60

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