Projects per year

## Personal profile

### Research interests

I work in the area of applied analysis, studying variational problems and partial differential equations that arise in continuum mechanics, in particular in nonlinear elasticity. A common feature of the problems studied is the often intriguing interplay between the properties of the underlying partial differential equations and the physics of the situation being modelled, with physical considerations yielding insight into the underlying mathematics and vice versa. This often requires the use of tools and concepts from diverse areas of mathematics ranging from analysis, differential equations, geometry, and topology to numerical analysis and continuum physics.

One main area of interest has been to study the existence and properties of singular energy minimisers and their connection with fracture mechanisms observed in polymers. A key problem here, on which I have been working, is to develop new numerical approaches to predicting the formation and location of singularities.

A more recent interest has been to understand the connections between my previous studies in nonlinear elasticity and corresponding phenomena in fluid mechanics.

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## Projects 2008 2016

- 4 Finished

### Collaboration between Chris Bowen and Bath IMI

Bowen, C., Wilson, L., Sivaloganathan, J. & Avent, A.

1/02/16 → 31/05/16

Project: Other

### Joint Project Grant - Analytical & Numerical Study of Fracture in Nonlinear Elasticity

1/05/09 → 31/08/11

Project: Research council

## Research Output 1986 2019

### On the Structure of Linear Dislocation Field Theory

Acharya, A., Knops, R. & Sivaloganathan, J., 8 Jun 2019, In : Journal of the Mechanics and Physics of Solids.Research output: Contribution to journal › Article

### On the Uniqueness of Energy Minimizers in Finite Elasticity

Sivaloganathan, J. & Spector, S. J., 1 Oct 2018, In : Journal of Elasticity. 133, 1, p. 73-103 31 p.Research output: Contribution to journal › Article

### On the global stability of compressible elastic cylinders in tension

Sivaloganathan, J. & Spector, S. J., Aug 2015, In : Journal of Elasticity. 120, 2, p. 161-195 31 p.Research output: Contribution to journal › Article

### A characterisation of the boundary displacements which induce cavitation in an elastic body

Negron-Marrero, P. V. & Sivaloganathan, J., 1 Sep 2012, In : Journal of Elasticity. 109, 1, p. 1-33 33 p.Research output: Contribution to journal › Article

### Aspects of the nonlinear theory of type II thermoelastostatics

Quintanilla, R. & Sivaloganathan, J., Mar 2012, In : European Journal of Mechanics - A/Solids. 32, 1, p. 109-117 9 p.Research output: Contribution to journal › Article

## Thesis

## The Cavitation Phenomenon in Nonlinear Elasticity

Author: Lloyd, J., 19 Jul 2013Supervisor: Sivaloganathan, J. (Supervisor)

Student thesis: Doctoral Thesis › PhD