Accession Number:

ADA012428

Title:

Conservation Laws in Linear Elastodynamics.

Descriptive Note:

Technical rept.,

Corporate Author:

CALIFORNIA INST OF TECH PASADENA DIV OF ENGINEERING AND APPLIED SCIENCE

Personal Author(s):

Report Date:

1975-06-01

Pagination or Media Count:

50.0

Abstract:

Noethers 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 Noethers theorem from invariance under a reasonably general group of infinitesimal transformations.

Subject Categories:

  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE