## Sivaloganathan, Jeyabal

Compute Distance To:
 Author ID: sivaloganathan.jeyabal Published as: Sivaloganathan, Jeyabal; Sivaloganathan, J.
 Documents Indexed: 40 Publications since 1986 Co-Authors: 15 Co-Authors with 32 Joint Publications 462 Co-Co-Authors
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### Co-Authors

 8 single-authored 18 Spector, Scott J. 5 Negrón-Marrero, Pablo V. 2 Ganesh, Mahadevan 2 Graham, Ivan G. 2 Pericak-Spector, Kathleen A. 1 Acharya, Amit 1 Fosdick, Roger L. 1 Francfort, Gilles A. 1 Knops, Robin J. 1 Lloyd, James G. 1 Müller, Stefan 1 Olver, Peter John 1 Post, K. D. E. 1 Quintanilla de Latorre, Ramón 1 Tilakraj, Viveka
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### Serials

 10 Journal of Elasticity 5 SIAM Journal on Applied Mathematics 4 Archive for Rational Mechanics and Analysis 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Mathematics and Mechanics of Solids 2 Quarterly of Applied Mathematics 2 SIAM Journal on Numerical Analysis 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of the Mechanics and Physics of Solids 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Calculus of Variations and Partial Differential Equations 1 European Journal of Mechanics. A. Solids
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### Fields

 35 Mechanics of deformable solids (74-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 9 Partial differential equations (35-XX) 3 Numerical analysis (65-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX)

### Citations contained in zbMATH Open

34 Publications have been cited 351 times in 185 Documents Cited by Year
Uniqueness of regular and singular equilibria for spherically symmetric problems of nonlinear elasticity. Zbl 0628.73018
Sivaloganathan, Jeyabal
1986
On the existence of minimizers with prescribed singular points in nonlinear elasticity. Zbl 0987.74016
Sivaloganathan, Jeyabal; Spector, Scott J.
2000
The convergence of regularized minimizers for cavitation problems in nonlinear elasticity. Zbl 1104.74016
Sivaloganathan, Jeyabal; Spector, Scott J.; Tilakraj, Viveka
2006
A field theory approach to stability of radial equilibria in nonlinear elasticity. Zbl 0612.73013
Sivaloganathan, J.
1986
On cavitation, configurational forces and implications for fracture in a nonlinearly elastic material. Zbl 1089.74627
Sivaloganathan, Jeyabal; Spector, Scott J.
2002
A new spectral boundary integral collocation method for three-dimensional potential problems. Zbl 0915.65115
Ganesh, M.; Graham, I. G.; Sivaloganathan, J.
1998
A pseudospectral three-dimensional boundary integral method applied to a nonlinear model problem from finite elasticity. Zbl 0815.41008
Ganesh, M.; Graham, I. G.; Sivaloganathan, J.
1994
On homotopy conditions and the existence of multiple equilibria in finite elasticity. Zbl 0878.73025
Post, K. D. E.; Sivaloganathan, J.
1997
On the symmetry of energy-minimising deformations in nonlinear elasticity. I: Incompressible materials. Zbl 1304.74012
Sivaloganathan, Jeyabal; Spector, Scott J.
2010
The structure of null Lagrangians. Zbl 0662.49016
Olver, P. J.; Sivaloganathan, J.
1988
On the symmetry of energy-minimising deformations in nonlinear elasticity. II: Compressible materials. Zbl 1304.74011
Sivaloganathan, Jeyabal; Spector, Scott J.
2010
Necessary conditions for a minimum at a radial cavitating singularity in nonlinear elasticity. Zbl 1137.74011
Sivaloganathan, Jeyabal; Spector, Scott J.
2008
On the optimal location of singularities arising in variational problems of nonlinear elasticity. Zbl 0977.74005
Sivaloganathan, Jeyabal; Spector, Scott J.
2000
On irregular weak solutions of the energy-momentum equations. Zbl 1211.49006
Sivaloganathan, J.; Spector, Scott J.
2011
The generalised Hamilton-Jacobi inequality and the stability of equilibria in nonlinear elasticity. Zbl 0709.73014
Sivaloganathan, J.
1989
An isoperimetric estimate and $$W^{1,p}$$-quasiconvexity in nonlinear elasticity. Zbl 0929.74013
Müller, Stefan; Sivaloganathan, Jeyabal; Spector, Scott J.
1999
The numerical computation of the critical boundary displacement for radial cavitation. Zbl 1197.74017
Negrón-Marrero, Pablo V.; Sivaloganathan, Jeyabal
2009
Implications of rank one convexity. Zbl 0664.73006
Sivaloganathan, J.
1988
On cavitation and degenerate cavitation under internal hydrostatic pressure. Zbl 0949.74009
Sivaloganathan, J.
1999
On the global stability of two-dimensional, incompressible, elastic bars in uniaxial extension. Zbl 1195.74102
Sivaloganathan, Jeyabal; Spector, Scott J.
2010
The radial volume derivative and the critical boundary displacement for cavitation. Zbl 1448.74021
Negrón-Marrero, Pablo V.; Sivaloganathan, Jeyabal
2011
Energy minimising properties of the radial cavitation solution in incompressible nonlinear elasticity. Zbl 1159.74357
Sivaloganathan, Jeyabal; Spector, Scott J.
2008
An explicit radial cavitation solution in nonlinear elasticity. Zbl 1024.74013
Pericak-Spector, Kathleen A.; Sivaloganathan, Jeyabal; Spector, Scott J.
2002
On conservation laws and necessary conditions in the calculus of variations. Zbl 1027.49015
Francfort, G.; Sivaloganathan, J.
2002
On the uniqueness of energy minimizers in finite elasticity. Zbl 1415.74042
Sivaloganathan, Jeyabal; Spector, Scott J.
2018
Cavitation, the incompressible limit, and material inhomogeneity. Zbl 0756.73040
Sivaloganathan, J.
1991
Singular minimisers in the calculus of variations: A degenerate form of cavitation. Zbl 0769.49030
Sivaloganathan, J.
1992
Sivaloganathan, Jeyabal; Spector, Scott J.
2003
A construction of infinitely many singular weak solutions to the equation of nonlinear elasticity. Zbl 1159.74327
Sivaloganathan, J.; Spector, S. J.
2002
On the stability of cavitating equilibria. Zbl 0829.73079
Sivaloganathan, J.
1995
On the stability of incompressible elastic cylinders in uniaxial extension. Zbl 1263.74011
Sivaloganathan, Jeyabal; Spector, Scott J.
2011
Aspects of the nonlinear theory of type II thermoelastostatics. Zbl 1278.74040
Quintanilla, R.; Sivaloganathan, J.
2012
The representation theorem for linear, isotropic tensor functions in even dimensions. Zbl 1004.74015
Pericak-Spector, Kathleen A.; Sivaloganathan, Jeyabal; Spector, Scott J.
1999
A characterisation of the boundary displacements which induce cavitation in an elastic body. Zbl 1255.74008
Negrón-Marrero, Pablo V.; Sivaloganathan, Jeyabal
2012
On the uniqueness of energy minimizers in finite elasticity. Zbl 1415.74042
Sivaloganathan, Jeyabal; Spector, Scott J.
2018
Aspects of the nonlinear theory of type II thermoelastostatics. Zbl 1278.74040
Quintanilla, R.; Sivaloganathan, J.
2012
A characterisation of the boundary displacements which induce cavitation in an elastic body. Zbl 1255.74008
Negrón-Marrero, Pablo V.; Sivaloganathan, Jeyabal
2012
On irregular weak solutions of the energy-momentum equations. Zbl 1211.49006
Sivaloganathan, J.; Spector, Scott J.
2011
The radial volume derivative and the critical boundary displacement for cavitation. Zbl 1448.74021
Negrón-Marrero, Pablo V.; Sivaloganathan, Jeyabal
2011
On the stability of incompressible elastic cylinders in uniaxial extension. Zbl 1263.74011
Sivaloganathan, Jeyabal; Spector, Scott J.
2011
On the symmetry of energy-minimising deformations in nonlinear elasticity. I: Incompressible materials. Zbl 1304.74012
Sivaloganathan, Jeyabal; Spector, Scott J.
2010
On the symmetry of energy-minimising deformations in nonlinear elasticity. II: Compressible materials. Zbl 1304.74011
Sivaloganathan, Jeyabal; Spector, Scott J.
2010
On the global stability of two-dimensional, incompressible, elastic bars in uniaxial extension. Zbl 1195.74102
Sivaloganathan, Jeyabal; Spector, Scott J.
2010
The numerical computation of the critical boundary displacement for radial cavitation. Zbl 1197.74017
Negrón-Marrero, Pablo V.; Sivaloganathan, Jeyabal
2009
Necessary conditions for a minimum at a radial cavitating singularity in nonlinear elasticity. Zbl 1137.74011
Sivaloganathan, Jeyabal; Spector, Scott J.
2008
Energy minimising properties of the radial cavitation solution in incompressible nonlinear elasticity. Zbl 1159.74357
Sivaloganathan, Jeyabal; Spector, Scott J.
2008
The convergence of regularized minimizers for cavitation problems in nonlinear elasticity. Zbl 1104.74016
Sivaloganathan, Jeyabal; Spector, Scott J.; Tilakraj, Viveka
2006
Sivaloganathan, Jeyabal; Spector, Scott J.
2003
On cavitation, configurational forces and implications for fracture in a nonlinearly elastic material. Zbl 1089.74627
Sivaloganathan, Jeyabal; Spector, Scott J.
2002
An explicit radial cavitation solution in nonlinear elasticity. Zbl 1024.74013
Pericak-Spector, Kathleen A.; Sivaloganathan, Jeyabal; Spector, Scott J.
2002
On conservation laws and necessary conditions in the calculus of variations. Zbl 1027.49015
Francfort, G.; Sivaloganathan, J.
2002
A construction of infinitely many singular weak solutions to the equation of nonlinear elasticity. Zbl 1159.74327
Sivaloganathan, J.; Spector, S. J.
2002
On the existence of minimizers with prescribed singular points in nonlinear elasticity. Zbl 0987.74016
Sivaloganathan, Jeyabal; Spector, Scott J.
2000
On the optimal location of singularities arising in variational problems of nonlinear elasticity. Zbl 0977.74005
Sivaloganathan, Jeyabal; Spector, Scott J.
2000
An isoperimetric estimate and $$W^{1,p}$$-quasiconvexity in nonlinear elasticity. Zbl 0929.74013
Müller, Stefan; Sivaloganathan, Jeyabal; Spector, Scott J.
1999
On cavitation and degenerate cavitation under internal hydrostatic pressure. Zbl 0949.74009
Sivaloganathan, J.
1999
The representation theorem for linear, isotropic tensor functions in even dimensions. Zbl 1004.74015
Pericak-Spector, Kathleen A.; Sivaloganathan, Jeyabal; Spector, Scott J.
1999
A new spectral boundary integral collocation method for three-dimensional potential problems. Zbl 0915.65115
Ganesh, M.; Graham, I. G.; Sivaloganathan, J.
1998
On homotopy conditions and the existence of multiple equilibria in finite elasticity. Zbl 0878.73025
Post, K. D. E.; Sivaloganathan, J.
1997
On the stability of cavitating equilibria. Zbl 0829.73079
Sivaloganathan, J.
1995
A pseudospectral three-dimensional boundary integral method applied to a nonlinear model problem from finite elasticity. Zbl 0815.41008
Ganesh, M.; Graham, I. G.; Sivaloganathan, J.
1994
Singular minimisers in the calculus of variations: A degenerate form of cavitation. Zbl 0769.49030
Sivaloganathan, J.
1992
Cavitation, the incompressible limit, and material inhomogeneity. Zbl 0756.73040
Sivaloganathan, J.
1991
The generalised Hamilton-Jacobi inequality and the stability of equilibria in nonlinear elasticity. Zbl 0709.73014
Sivaloganathan, J.
1989
The structure of null Lagrangians. Zbl 0662.49016
Olver, P. J.; Sivaloganathan, J.
1988
Implications of rank one convexity. Zbl 0664.73006
Sivaloganathan, J.
1988
Uniqueness of regular and singular equilibria for spherically symmetric problems of nonlinear elasticity. Zbl 0628.73018
Sivaloganathan, Jeyabal
1986
A field theory approach to stability of radial equilibria in nonlinear elasticity. Zbl 0612.73013
Sivaloganathan, J.
1986
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### Cited by 178 Authors

 19 Sivaloganathan, Jeyabal 14 Spector, Scott J. 13 Onninen, Jani 11 Henao, Duvan A. 11 Iwaniec, Tadeusz 9 Bevan, Jonathan J. 9 Ganesh, Mahadevan 8 Taheri, Ali 7 Li, Zhiping 7 Mora-Corral, Carlos 6 Negrón-Marrero, Pablo V. 5 Chapko, Roman 5 Grabovsky, Yury 4 Goriely, Alain 4 Johansson, B. Tomas 4 Lanza de Cristoforis, Massimo 4 Shahrokhi-Dehkordi, Mohammad Sadegh 3 Antman, Stuart S. 3 Cheng, Changjun 3 Deane, Jonathan H. B. 3 Domínguez, Víctor 3 Hawkins, Stuart Collin 3 Horgan, Cornelius Oliver 3 Lopez-Pamies, Oscar 3 Morris, Charles G. 3 Pericak-Spector, Kathleen A. 3 Quintanilla de Latorre, Ramón 3 Sobotíková, Veronika 3 Su, Chunmei 3 Tzavaras, Athanasios E. 3 Xu, Xianmin 2 Ball, John MacLeod 2 Basak, Nirupam 2 Borachok, Ihor 2 Bouchitté, Guy 2 Cañulef-Aguilar, Victor 2 Conti, Sergio 2 Feistauer, Miloslav 2 Fonseca, Irene 2 Giesselmann, Jan 2 Golberg, Michael A. 2 Guerra, André 2 Koski, Aleksis 2 Kovalev, Leonid V. 2 Lian, Yijiang 2 Mengesha, Tadele 2 Mihai, L. Angela 2 Milton, Graeme Walter 2 Miroshnikov, Alexey 2 Morrison, George 2 Najzar, Karel 2 Oliva, Marcos 2 Pence, Thomas J. 2 Protsyuk, Olena 2 Radice, Teresa 2 Shaffaf, Jafar 2 Sharma, Basant Lal 2 Sloan, Ian Hugh 2 Spector, Daniel E. 2 Steinbach, Olaf 2 Stepanov, Alexey B. 2 Šverák, Vladimír 2 Truskinovsky, Lev 2 Womersley, Robert S. 2 Woolley, Thomas E. 1 Abeyaratne, Rohan C. 1 Abreu, Emerson A. M. 1 Acerbi, Emilio 1 Acharya, Amit 1 Benešová, Barbora 1 Bitew, Worku T. 1 Boronski, Piotr 1 Bowman, Harold 1 Bruno, Oscar P. 1 Campbell, Daniel 1 Celada, Pietro 1 Chełmiński, Krzysztof 1 Chen, Ching-Shyang 1 Chou-Wang, M.-S. 1 Christopher, Colin J. 1 Crampin, Mike 1 Dalla Riva, Matteo 1 De Lellis, Camillo 1 Do Ó, João M. Bezerra 1 Dolzmann, Georg 1 Erb, Wolfgang 1 Fairlie, David B. 1 Fitt, Danielle 1 Fosdick, Roger L. 1 Foti, Pilade 1 Fraddosio, Aguinaldo 1 Fragalà, Ilaria 1 Ghoussoub, Nassif A. 1 Giaquinta, Mariano 1 Graham, Ivan G. 1 Guidugli, Paolo Podio 1 Hencl, Stanislav 1 Hou, Hang-Sheng 1 Idiart, Martín I. 1 Ivanyshyn, Olha ...and 78 more Authors
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### Cited in 71 Serials

 26 Archive for Rational Mechanics and Analysis 24 Journal of Elasticity 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Mathematics and Mechanics of Solids 6 Journal of Computational and Applied Mathematics 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Calculus of Variations and Partial Differential Equations 5 Advances in Calculus of Variations 4 SIAM Journal on Mathematical Analysis 4 NoDEA. Nonlinear Differential Equations and Applications 4 Advances in Computational Mathematics 3 Journal of Computational Physics 3 Journal of Engineering Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Numerische Mathematik 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 European Journal of Mechanics. A. Solids 2 Acta Mechanica 2 Computer Methods in Applied Mechanics and Engineering 2 International Journal of Engineering Science 2 Journal of Mathematical Analysis and Applications 2 Mathematics of Computation 2 Mathematische Annalen 2 Numerical Functional Analysis and Optimization 2 Proceedings of the American Mathematical Society 2 Journal of Integral Equations and Applications 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Applied Mathematics 2 Inverse Problems in Science and Engineering 2 Complex Variables and Elliptic Equations 1 Computers & Mathematics with Applications 1 Communications on Pure and Applied Mathematics 1 Houston Journal of Mathematics 1 Journal of Mathematical Physics 1 Journal of the Mechanics and Physics of Solids 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Duke Mathematical Journal 1 Journal of Approximation Theory 1 Meccanica 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Applicandae Mathematicae 1 Constructive Approximation 1 Differential Geometry and its Applications 1 Applications of Mathematics 1 Numerical Algorithms 1 Communications in Partial Differential Equations 1 International Journal of Computer Mathematics 1 SIAM Review 1 Mathematical Programming. Series A. Series B 1 Journal of Nonlinear Science 1 Continuum Mechanics and Thermodynamics 1 Topological Methods in Nonlinear Analysis 1 Journal of Inverse and Ill-Posed Problems 1 Engineering Analysis with Boundary Elements 1 Discrete and Continuous Dynamical Systems 1 Analysis (München) 1 Interfaces and Free Boundaries 1 Journal of the European Mathematical Society (JEMS) 1 Foundations of Computational Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Boundary Value Problems 1 Frontiers of Mathematics in China 1 Science China. Mathematics 1 Research in the Mathematical Sciences 1 Séminaire Laurent Schwartz. EDP et Applications
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### Cited in 26 Fields

 113 Mechanics of deformable solids (74-XX) 63 Partial differential equations (35-XX) 58 Calculus of variations and optimal control; optimization (49-XX) 37 Numerical analysis (65-XX) 11 Potential theory (31-XX) 10 Functions of a complex variable (30-XX) 8 Fluid mechanics (76-XX) 7 Integral equations (45-XX) 7 Functional analysis (46-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Operator theory (47-XX) 5 Approximations and expansions (41-XX) 4 Real functions (26-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Differential geometry (53-XX) 4 Optics, electromagnetic theory (78-XX) 3 Special functions (33-XX) 3 Mechanics of particles and systems (70-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Ordinary differential equations (34-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Biology and other natural sciences (92-XX)