3 papers
math.AP2019
A lower bound for the void coalescence load in nonlinearly elastic solids
Victor Cañulef-Aguilar, Duvan Henao
The problem of the sudden growth and coalescence of voids in elastic media is considered. The Dirichlet energy is minimized among incompressible and invertible Sobolev deformations…
math.AP2019
Hölder estimates for the Neumann problem in a domain with holes and a relation formula between the Dirichlet and Neumann problems
Victor Cañulef-Aguilar, Duvan Henao
In this paper we study the dependence of the Hölder estimates on the geometry of a domain with holes for the Neumann problem. For this, we study the Hölder regularity of the soluti…
math.AP2019
Multiple Independent Cavitation in 2D NeoHookean Materials
Victor Cañulef-Aguilar
In this thesis we find an upper bound for the stretch factor of an elastic incompressible material subject to multiaxial traction, under which one can ensure that there is still no…