Abstract
Often the theory of finite deformations of an elastic medium is used with the added restriction of incompressibility of the medium. This restriction makes possible the solution of several classes of problems in terms of an unspecified strain-energy potential, however, it excludes the possibility that the elastic material properties depend on pressure. In this paper, a general theory of materials whose mechanical properties depend on pressure will be derived from the unrestricted theory and the condition for incompressibility of the medium will be added as an approximation.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1980 Plenum Press, New York
About this chapter
Cite this chapter
Bernstein, B., Kearsley, E.A. (1980). A Theory of the Effects of Pressure on Finite Elastic Shear. In: Astarita, G., Marrucci, G., Nicolais, L. (eds) Rheology. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-3740-9_19
Download citation
DOI: https://doi.org/10.1007/978-1-4684-3740-9_19
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-3742-3
Online ISBN: 978-1-4684-3740-9
eBook Packages: Springer Book Archive