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1

On the Uniqueness of Energy Minimizers in Finite Elasticity

Sivaloganathan, Jeyabal, Spector, Scott J.

Journal:

Journal of Elasticity

Year:

2018

Language:

english

File:

PDF, 973 KB

english, 2018

2

Uniqueness of regular and singular equilibria for spherically symmetric problems of nonlinear elasticity

Jeyabal Sivaloganathan

Journal:

Archive for Rational Mechanics and Analysis

Year:

1986

Language:

english

File:

PDF, 1.52 MB

english, 1986

3

On the Symmetry of Energy-Minimising Deformations in Nonlinear Elasticity I: Incompressible Materials

Jeyabal Sivaloganathan, Scott J. Spector

Journal:

Archive for Rational Mechanics and Analysis

Year:

2010

Language:

english

File:

PDF, 357 KB

english, 2010

4

On the Symmetry of Energy-Minimising Deformations in Nonlinear Elasticity II: Compressible Materials

Jeyabal Sivaloganathan, Scott J. Spector

Journal:

Archive for Rational Mechanics and Analysis

Year:

2010

Language:

english

File:

PDF, 529 KB

english, 2010

5

An isoperimetric estimate and W(^{1,p})-quasiconvexity in nonlinear elasticity

Stefan Müller, Jeyabal Sivaloganathan, Scott J. Spector

Journal:

Calculus of Variations and Partial Differential Equations

Year:

1999

Language:

english

File:

PDF, 120 KB

english, 1999

6

The Radial Volume Derivative and the Critical Boundary Displacement for Cavitation

Negrón-Marrero, Pablo V., Sivaloganathan, Jeyabal

Journal:

SIAM Journal on Applied Mathematics

Year:

2011

Language:

english

File:

PDF, 279 KB

english, 2011

7

Myriad Radial Cavitating Equilibria in Nonlinear Elasticity

Sivaloganathan, Jeyabal, Spector, Scott J.

Journal:

SIAM Journal on Applied Mathematics

Year:

2003

Language:

english

File:

PDF, 169 KB

english, 2003

8

The Convergence of Regularized Minimizers for Cavitation Problems in Nonlinear Elasticity

Jeyabal Sivaloganathan, Scott J. Spector and Viveka Tilakraj

Journal:

SIAM Journal on Applied Mathematics

Year:

2006

Language:

english

File:

PDF, 626 KB

english, 2006

9

On the global stability of two-dimensional, incompressible, elastic bars in uniaxial extension

Jeyabal Sivaloganathan and Scott J. Spector

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2010

Language:

english

File:

PDF, 740 KB

english, 2010

10

The Convergence of Regularized Minimizers for Cavitation Problems in Nonlinear Elasticity

Sivaloganathan, Jeyabal, Spector, Scott J., Tilakraj, Viveka

Journal:

SIAM Journal on Applied Mathematics

Year:

2006

Language:

english

File:

PDF, 243 KB

english, 2006

11

Myriad Radial Cavitating Equilibria in Nonlinear Elasticity

Jeyabal Sivaloganathan and Scott J. Spector

Journal:

SIAM Journal on Applied Mathematics

Year:

2003

Language:

english

File:

PDF, 364 KB

english, 2003

12

On the Convergence of a Regularization Scheme for Approximating Cavitation Solutions with Prescribed Cavity Volume

Negrón-Marrero, Pablo V., Sivaloganathan, Jeyabal

Journal:

SIAM Journal on Applied Mathematics

Year:

2020

Language:

english

File:

PDF, 2.40 MB

english, 2020

13

Necessary conditions for a minimum at a radial cavitating singularity in nonlinear elasticity

Jeyabal Sivaloganathan, Scott J. Spector

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2008

Language:

english

File:

PDF, 205 KB

english, 2008

14

Energy Minimising Properties of the Radial Cavitation Solution in Incompressible Nonlinear Elasticity

Jeyabal Sivaloganathan, Scott J. Spector

Journal:

Journal of Elasticity

Year:

2008

Language:

english

File:

PDF, 358 KB

english, 2008

15

Energy Minimization for an Elastic Fluid

Roger Fosdick, Jeyabal Sivaloganathan

Journal:

Journal of Elasticity

Year:

2010

Language:

english

File:

PDF, 525 KB

english, 2010

16

On the Stability of Incompressible Elastic Cylinders in Uniaxial Extension

Jeyabal Sivaloganathan, Scott J. Spector

Journal:

Journal of Elasticity

Year:

2011

Language:

english

File:

PDF, 617 KB

english, 2011

17

The Representation Theorem for Linear, Isotropic Tensor Functions in Even Dimensions

Kathleen A. Pericak-Spector, Jeyabal Sivaloganathan, Scott J. Spector

Journal:

Journal of Elasticity

Year:

1999

Language:

english

File:

PDF, 59 KB

english, 1999

18

On the Optimal Location of Singularities Arising in Variational Problems of Nonlinear Elasticity

Jeyabal Sivaloganathan, Scott J. Spector

Journal:

Journal of Elasticity

Year:

2000

Language:

english

File:

PDF, 196 KB

english, 2000

19

On the Existence of Minimizers with Prescribed Singular Points in Nonlinear Elasticity

Jeyabal Sivaloganathan, Scott J. Spector

Journal:

Journal of Elasticity

Year:

2000

Language:

english

File:

PDF, 196 KB

english, 2000

20

On Cavitation, Configurational Forces and Implications for Fracture in a Nonlinearly Elastic Material

Jeyabal Sivaloganathan, Scott J. Spector

Journal:

Journal of Elasticity

Year:

2002

Language:

english

File:

PDF, 178 KB

english, 2002

21

A Characterisation of the Boundary Displacements Which Induce Cavitation in an Elastic Body

Pablo V. Negrón-Marrero,Jeyabal Sivaloganathan

Journal:

Journal of Elasticity

Year:

2012

Language:

english

File:

PDF, 1.17 MB

english, 2012

22

On the Global Stability of Compressible Elastic Cylinders in Tension

Sivaloganathan, Jeyabal, Spector, Scott J.

Journal:

Journal of Elasticity

Year:

2015

Language:

english

File:

PDF, 1.09 MB

english, 2015