On the optimal location of singularities arising in variational problems of nonlinear elasticity

DOI10.1023/A:1007629229174zbMath0977.74005OpenAlexW193137097MaRDI QIDQ5932248

Sivaloganathan, Jeyabal, Spector, Scott J.

Publication date: 7 May 2001

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1007629229174

zbMATH Keywords

nonlinear elasticityelastomerscavitationelastic energyenergy minimizershole-creating deformationmicrovoidoptimal location

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Optimization problems in solid mechanics (74P99)

Related Items (10)

The Numerical Computation of the Critical Boundary Displacement for Radial Cavitation ⋮ Lusin's condition and the distributional determinant for deformations with finite energy ⋮ Unnamed Item ⋮ A numerical study of void coalescence and fracture in nonlinear elasticity ⋮ On the relative energies of the Rivlin and cavitation instabilities for compressible materials ⋮ A characterisation of the boundary displacements which induce cavitation in an elastic body ⋮ A remark on a stability criterion for the radial cavitating map in nonlinear elasticity ⋮ AN EFFICIENT NUMERICAL METHOD FOR CAVITATION IN NONLINEAR ELASTICITY ⋮ Error Analysis of a Dual-parametric Bi-quadratic FEM in Cavitation Computation in Elasticity ⋮ Infinite Energy Cavitating Solutions: A Variational Approach

This page was built for publication: On the optimal location of singularities arising in variational problems of nonlinear elasticity