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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.

Fingerprint Dive into the research topics where Jeyabal Sivaloganathan is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

  • 1 Similar Profiles
Cavitation Mathematics
Elasticity Engineering & Materials Science
Nonlinear Elasticity Mathematics
Finite Elasticity Mathematics
Ball Mathematics
Derivatives Engineering & Materials Science
Energy Mathematics
Calculus of variations Mathematics

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Projects 2008 2016

Research Output 1986 2019

On the Structure of Linear Dislocation Field Theory

Acharya, A., Knops, R. & Sivaloganathan, J., 1 Sep 2019, In : Journal of the Mechanics and Physics of Solids. 130, p. 216-244 29 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)
12 Downloads (Pure)

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 journalArticle

Open Access
File
Elasticity
Boundary conditions
Derivatives
1 Citation (Scopus)
67 Downloads (Pure)

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 journalArticle

Open Access
File
Shear bands
Boundary conditions
1 Citation (Scopus)

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 journalArticle

Cavitation
Boundary conditions
Derivatives
Elasticity
Fluids

Thesis

The Cavitation Phenomenon in Nonlinear Elasticity

Author: Lloyd, J., 19 Jul 2013

Supervisor: Sivaloganathan, J. (Supervisor)

Student thesis: Doctoral ThesisPhD