Nonlocal elastodynamics and fracture

TL;DR

This paper applies a nonlocal peridynamic model to brittle fracture, demonstrating that as nonlocality diminishes, the model's elastic fields converge to classical elastodynamics solutions for running cracks.

Contribution

It introduces a nonlocal elastodynamic framework for fracture and proves convergence to classical solutions as nonlocal effects vanish.

Findings

Nonlocal model accurately describes brittle fracture.

Elastic fields converge to classical elastodynamics solutions.

Validates nonlocal approach for fracture modeling.

Abstract

A nonlocal field theory of peridynamic type is applied to model the brittle fracture problem. The elastic fields obtained from the nonlocal model are shown to converge in the limit of vanishing non-locality to solutions of classic plane elastodynamics associated with a running crack.