Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-19T09:57:43.295Z Has data issue: false hasContentIssue false
  • English
  • Français

Some dynamic properties of a prestressed incompressible hyperelastic material

Published online by Cambridge University Press:  17 April 2009

J.A. Belward
J.A. Belward
Affiliation:
Department of Mathematics, University of Queensland, St Lucia, Queensland.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The work continues some earlier investigations into dynamic properties of prestressed incompressible elastic materials. Whereas the material was previously assumed to be a Mooney material, it is here allowed to have any strain energy function. Plane wave propagation and the motions caused by an impulsive line of traction are examined. The results obtained are compared with the earlier work.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 8 , Issue 1 , February 1973 , pp. 61 - 73
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Belward, J.A., “Elastic waves in a prestressed Mooney material”, Bull. Austral. Math. Soc. 7 (1972), 135–160.CrossRefGoogle Scholar
[2]Manacorda, T., “On the waves propagation in Signorini's incompressible materials”, Boll. Un. Math. Ital. (4) 5 (1972), 234–240.Google Scholar
[3]Signorini, Antonio, “Trasformazioni termoelastiche finite. III. Solidi incomprimibili”, Ann. Mat. Pura Appl. (4) 39 (1955), 147–201.Google Scholar
[4]Truesdell, C., “The mechanical foundations of elasticity and fluid dynamics”, J. Rational Medh. Anal. 1 (1952), 125–300.Google Scholar