6 citations · 7 across the 6 of their papers we have counts for
4 papers · 1 filter
-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…
Relaxation of nonlinear elastic energies involving deformed configuration and applications to nematic elastomers
Carlos Mora-Corral, Marcos Oliva
We start from a variational model for nematic elastomers that involves two energies: mechanical and nematic. The first one consists of a nonlinear elastic energy which is influence…