Energy Minimising Properties of the Radial Cavitation Solution in Incompressible Nonlinear Elasticity
نویسندگان
چکیده
منابع مشابه
Energy Minimising Properties of the Radial Cavitation Solution in Incompressible Nonlinear Elasticity
Consider an incompressible hyperelastic material, occupying the unit ball B ⊂ R in its reference state. Suppose that the displacement is specified on the boundary, that is, u(x) = λx for x ∈ ∂B, where λ > 1 is a given constant. In this paper, isoperimetric arguments are used to prove that the radial deformation, producing a spherical cavity, is the energy minimiser in a general class of isochor...
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ژورنال
عنوان ژورنال: Journal of Elasticity
سال: 2008
ISSN: 0374-3535,1573-2681
DOI: 10.1007/s10659-008-9171-3