Abstract
In this paper, we consider the problem of an incompressible elastic solid sphere, composed of a neo-Hookean material, which is set into motion by a suddenly applied uniform radial tensile dead-load p 0 on its boundary. One solution, for all values of p 0 , corresponds to a trivial homogeneous static state in which the sphere remains undeformed while stressed. However, for sufficiently large values of p 0 , another radially symmetric solution exists involving a traction-free spherical cavity at the center of the sphere. The applied load at which such “cavitation” can occur in the dynamic problem is shown to coincide with that for the corresponding static problem.
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