The Radial Volume Derivative and the Critical Boundary Displacement for Cavitation

DOI10.1137/110835943zbMath1448.74021OpenAlexW1989228753MaRDI QIDQ3225267

Sivaloganathan, Jeyabal, Pablo V. Negrón-Marrero

Publication date: 16 March 2012

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://opus.bath.ac.uk/28741/1/Sivaloganathan_SIAM%2DJApMath_2011_71_6_2185.pdf

zbMATH Keywords

nonlinear elasticityquasi convexityvolume derivativesingular minimizerscritical boundary displacementradial cavitation

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65)

Related Items (5)

Singular limiting induced from continuum solutions and the problem of dynamic cavitation ⋮ On the construction and properties of weak solutions describing dynamic cavitation ⋮ A characterisation of the boundary displacements which induce cavitation in an elastic body ⋮ Fracture and singularities of the mass-density gradient field ⋮ A remark on a stability criterion for the radial cavitating map in nonlinear elasticity

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