A generalized formulation of elastodynamics: Small on rigid

Research output: Contribution to journalArticlepeer-review

Abstract

The conventional theory of linearized elastodynamics addresses the case of motions that have small displacement gradients with respect to a reference configuration of the elastic body that is unstressed and at rest. Here, we develop a theory of much wider applicability in which the linearization is with respect to a reference configuration that is in rigid motion. More specifically, with an eye toward application of the theory to analysis of the motions of relatively inflexible machine parts, we view the motion as being composed of a rigid motion, which corresponds to the applied loads and initial conditions for the body under consideration, and an infinitesimal motion, in which the displacement from the rigid motion has a small gradient.

Original languageEnglish (US)
Pages (from-to)349-363
Number of pages15
JournalJournal of Elasticity
Volume105
Issue number1-2
DOIs
StatePublished - Nov 2011

Keywords

  • Elasticity
  • Kinematics
  • Linearization
  • Rigid deformation
  • Small displacement gradient

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

Fingerprint Dive into the research topics of 'A generalized formulation of elastodynamics: Small on rigid'. Together they form a unique fingerprint.

Cite this