# Items by Sivaloganathan, Jeyabal

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**21**.

## Book Sections

Sivaloganathan, J. and Spector, S. J., 2004. IUTAM Symposium on "Singularities, asymptotics and homogenization problems in mechanics". *In*: Movchan, A. B., ed. *A variational approach to fracture of materials.* Kluwer, 295--306.

## Articles

Negron-Marrero, P. V. and Sivaloganathan, J., 2012. A characterisation of the boundary displacements which induce cavitation in an elastic body. *Journal of Elasticity*, 109 (1), pp. 1-33.

Lloyd, J. G. and Sivaloganathan, J., 2012. On the relative energies of the Rivlin and cavitation instabilities for compressible materials. *Mathematics and Mechanics of Solids*, 17 (4), pp. 338-350.

Quintanilla, R. and Sivaloganathan, J., 2012. Aspects of the nonlinear theory of type II thermoelastostatics. *European Journal of Mechanics - A/Solids*, 32 (1), pp. 109-117.

Sivaloganathan, J. and Spector, S. J., 2011. On the stability of incompressible elastic cylinders in uniaxial extension. *Journal of Elasticity*, 105 (1-2), pp. 313-330.

Sivaloganathan, J. and Spector, S. J., 2011. On irregular weak solutions of the energy-momentum equations. *Proceedings of the Royal Society of Edinburgh Section A - Mathematics*, 141 (1), pp. 193-203.

Negrón-Marrero, P. V. and Sivaloganathan, J., 2011. The radial volume derivative and the critical boundary displacement for cavitation. *SIAM Journal on Applied Mathematics*, 71 (6), pp. 2185-2204.

Sivaloganathan, J. and Spector, S. J., 2010. On the symmetry of energy-minimising deformations in nonlinear elasticity I: Incompressible materials. *Archive for Rational Mechanics and Analysis*, 196 (2), pp. 363-394.

Sivaloganathan, J. and Spector, S. J., 2010. On the symmetry of energy-minimising deformations in nonlinear elasticity II: compressible materials. *Archive for Rational Mechanics and Analysis*, 196 (2), pp. 395-431.

Sivaloganathan, J. and Spector, S. J., 2010. On the global stability of two-dimensional, incompressible, elastic bars in uniaxial extension. *Proceedings of the Royal Society of London Series A - Mathematical Physical and Engineering Sciences*, 466 (2116), pp. 1167-1176.

Fosdick, R. and Sivaloganathan, J., 2010. Energy minimization for an elastic fluid. *Journal of Elasticity*, 98 (2), pp. 189-203.

Negron-Marrero, P. V. and Sivaloganathan, J., 2009. The numerical computation of the critical boundary displacement for radial cavitation. *Mathematics and Mechanics of Solids*, 14 (8), pp. 696-726.

Sivaloganathan, J. and Spector, S. J., 2008. Energy minimizing properties of the radial cavitation solution in incompressible nonlinear elasticity. *Journal of Elasticity*, 93 (2), pp. 177-187.

Sivaloganathan, J. and Spector, S. J., 2008. Necessary conditions for a minimum at a radial cavitating singularity in nonlinear elasticity. *Annales De L Institut Henri Poincare: Analyse Non Linéaire*, 25 (1), pp. 201-213.

Sivaloganathan, J. and Spector, S. J., 2007. Necessary conditions for a minimum at a radial cavitating singularity in nonlinear elasticity. *Annales De L Institut Henri Poincare: Analyse Non Linéaire*, 25 (1), pp. 201-213.

Sivaloganathan, J., Spector, S. J. and Tilakraj, V., 2006. The convergence of regularised minimisers for cavitation problems of nonlinear elasticity. *SIAM Journal on Applied Mathematics*, 66, 736--757.

Sivaloganathan, J. and Spector, S. J., 2003. Myriad Radial Cavitating Equilibria in Nonlinear Elasticity. *SIAM Journal on Applied Mathematics*, 63, 1461--1473.

Sivaloganathan, J. and Spector, S. J., 2002. A construction of infinitely many singular weak solutions to the equations of nonlinear elasticity. *Proceedings of the Royal Society of Edinburgh Section A - Mathematics*, 132, 985--992.

Sivaloganathan, J. and Spector, S. J., 2002. On cavitation, configurational forces and implications for fracture in nonlinearly elastic material. *Journal of Elasticity*, 67, 25--49.

Sivaloganathan, J., Spector, K. P. and Spector, S. J., 2002. An explicit radial cavitation solution in nonlinear elasticity. *Mathematics and Mechanics of Solids*, 7, 87--93.

## Conference or Workshop Items

Sivaloganathan, J., 2002. Conservation laws and fracture. *In*: *4th International Congress on Nonlinear Mechanics and IUTAM Symposium on Symmetry and Complimentarity*, 2002-01-01.