On the quasi-static approximation in the initial boundary value problem of linearised elastodynamics

R. J. Knops, R. Quintanilla

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

Continuous data dependence estimates are employed to rigorously derive conditions that validate the quasi-static approximation for the initial homogeneous boundary value problem in the theory of small elastic deformations superposed upon large elastic deformations. This theory imposes no sign-definite assumptions on the linearised elastic moduli and in consequence the requisite estimates are established using methods principally motivated by known Lagrange identity arguments.

Original languageEnglish
Article number11
JournalJournal of Engineering Mathematics
Volume126
Issue number1
Early online date28 Jan 2021
DOIs
Publication statusPublished - Feb 2021

Keywords

  • Continuous dependence
  • Dirichlet boundary conditions
  • Lagrange identities arguments
  • Linearised elastodynamics
  • Quasi-static approximation

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

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