A NOTE ON CONSERVATION PRINCIPLES IN CLASSICAL MECHANICS


TABARROK B., TEZER C., STYLIANOU M.

ACTA MECHANICA, vol.107, pp.137-152, 1994 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 107
  • Publication Date: 1994
  • Doi Number: 10.1007/bf01201825
  • Journal Name: ACTA MECHANICA
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.137-152

Abstract

In the following we examine the notion of conserved quantities in problems of elastostatics and elastodynamics. We show that the well known formulation which leads to T + V = Constant can be generalised yielding conservation properties to some new and at times unexpected quantities. These new conservation properties may at times be the only means for verifying results obtained by numerical techniques.