Javier Cueto

most citedBond-based peridynamics does not converge to hyperelasticity as the horizon goes to zero

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.AP2020

$Γ$ -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 $s$ -fractional gradient $D^{s} u$ of a vectorial function $u$ as $s ↗ 1$ . The natural space to work with $s$ -fracti…

math.AP2020★ 1 cited

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…

math.AP2018

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…

Γ-convergence of polyconvex functionals involving s-fractional gradients to their local counterparts

Bond-based peridynamics does not converge to hyperelasticity as the horizon goes to zero

Fractional Piola identity and polyconvexity in fractional spaces

$Γ$ -convergence of polyconvex functionals involving s-fractional gradients to their local counterparts