1 citations · 1 across the 2 of their papers we have counts for
4 papers · 1 filter
Minimizers of Nonlocal Polyconvex Energies in Nonlocal Hyperelasticity
José C. Bellido, Javier Cueto, Carlos Mora-Corral
We develop a theory of existence of minimizers of energy functionals in vectorial problems based on a nonlocal gradient under Dirichlet boundary conditions. The model shares many f…
-convergence of polyconvex functionals involving s-fractional gradients to their local counterparts
José C. Bellido, Javier Cueto, Carlos Mora-Corral
In this paper we study localization properties of the Riesz -fractional gradient of a vectorial function as . The natural space to work with -fracti…
Bond-based peridynamics does not converge to hyperelasticity as the horizon goes to zero
J. C. Bellido, J. Cueto, C. Mora-Corral
Bond-based peridynamics is a nonlocal continuum model in Solid Mechanics in which the energy of a deformation is calculated through a double integral involving pairs of points in t…
Fractional Piola identity and polyconvexity in fractional spaces
José C. Bellido, Javier Cueto, Carlos Mora-Corral
In this paper we address nonlocal vector variational principles obtained by substitution of the classical gradient by the Riesz fractional gradient. We show the existence of minimi…