Plane Strain Dynamics of an Incompressible Nonlinear-Elastic Body
- 1 Downloads
Nonlinear elasticity model in current state variables is used to study the plane strain dynamics of an incompressible body, and a system of nonlinear displacement and pressure equations is obtained. In the absence of bulk forces and in the assumption of quadratic elastic potential, the resulting equations that describe plane waves, self-similar motions, and stress fields in these motions are solved and studied. It is shown that several solutions of a certain type are possible both in wave and self-similar cases.
Keywordsnonlinear elasticity model quadratic potential wave and self-similar solutions
Unable to display preview. Download preview PDF.
- 1.I. N. Sneddon and D. S. Berry, The Classical Theory of Elasticity (Springer-Verlag OHG, Berlin-Gottingen-Heidelberg, 1958).Google Scholar
- 2.L. I. Sedov, A Course in Continuum Mechanics, Complete in Four Volumes (Fizmatgiz, Moscow, 1962; Wolters-Noordhoff Publishing, 1971).Google Scholar
- 4.G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review (McGraw-Hill, 1959).Google Scholar
- 5.G. M. Fichtenholz, Differential and Integral Calculus, Vol. 2 (Fizmatgiz, Moscow, 1959) [in Russian].Google Scholar