A Theory of the Effects of Pressure on Finite Elastic Shear
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.
KeywordsElastic Medium Deviatoric Stress Simple Extension Finite Deformation Elastic Potential
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