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An Explicit Radial Cavitation Solution in Nonlinear Elasticity

Department of Mathematics, Southern Illinois University, Carbondale, IL 62901-4408, USA, kpericak{at}math.siu.edu

Jeyabal Sivaloganathan

Department of Mathematical Sciences, University of Bath, Bath BA2 7AY, UK, js{at}maths.bath.ac.uk

Scott J. Spector

Department of Mathematics, Southern Illinois University, Carbondale, IL 62901-4408, USA, sspector{at}math.siu.edu

An explicit solution to the ordinary differential equation that governs the radial equilibrium behavior of a particular compressible nonlinearly elastic material is obtained. The resulting deformation exhibits cavitation at the center of a homogeneous isotropic ball in three or more dimensions.

Mathematics and Mechanics of Solids, Vol. 7, No. 1, 87-93 (2002)
DOI: 10.1177/1081286502007001227


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