Research

Items by Sivaloganathan, Jeyabal

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Number of items: 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.

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