11 citations · 11 across the 6 of their papers we have counts for
6 papers
The repulsion property in nonlinear elasticity and a numerical scheme to circumvent it
Pablo V. Negrón-Marrero, Jeyabal Sivaloganathan
For problems in the calculus of cariations that exhibit the Lavrentiev phenomenon, it is known that the \textit{repulsion property} holds, that is, if one approximates the global m…
Infinite energy cavitating solutions: a variational approach
Pablo V. Negron-Marrero, Jeyabal Sivaloganathan
We study the phenomenon of cavitation for the displacement boundary value problem of radial, isotropic compressible elasticity for a class of stored energy functions of the form $W…
Asymptotic analysis of harmonic functions in singular domains with inhomogenous Robin boundary conditions
Aaron Pim, Kirill Cherednichenko, Jey Sivaloganathan
In 1991, Vladimir Maz'ya, Serguei Nazarov and Boris Plamenevskij developed the theory of compound asymptotics for elliptic boundary value problems in singularly perturbed domains.…
Cavitation of a spherical body under mechanical and self gravitational forces
Pablo V. Negrón-Marrero, Jeyabal Sivaloganathan
In this paper we look for minimizers of the energy functional for isotropic compressible elasticity taking into consideration the effect of a gravitational field induced by the bod…
On the Structure of Linear Dislocation Field Theory
Amit Acharya, Robin J. Knops, Jeyabal Sivaloganathan
Uniqueness of solutions in the linear theory of non-singular dislocations, studied as a special case of plasticity theory, is examined. The status of the classical, singular Volter…
A regularized penalty-multiplier method for approximating cavitation solutions with prescribed cavity volume size
Pablo V. Negrón-Marrero, Jeyabal Sivaloganathan
Let be the region occupied by a body and let be a flaw point in . Let be an energy functional (defined on some appropriate admissibl…