Conservation Laws in Linear Elastodynamics.

Abstract

Noether's theorem on variational principles invariant under a group of infinitesimal transformations is used to obtain a class of conservation laws associated with linear elastodynamics. These laws represent dynamical generalizations of certain path-independent integrals in elastostatics which have been of considerable recent interest. It is shown that the conservation laws obtained here are the only ones obtainable by Noether's theorem from invariance under a reasonably general group of infinitesimal transformations.

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1975
Accession Number
ADA012428

Entities

People

  • Donnie C. Fletcher

Organizations

  • California Institute of Technology

Tags

DTIC Thesaurus Topics

  • Integrals
  • Invariance
  • Mathematics
  • Variational Principles

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)