Elastodynamics

Nonlocal Elastodynamics and Fracture

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 …

Numerical Convergence of Nonlinear Nonlocal Continuum Models to Local Elastodynamics

We quantify the numerical error and modeling error associated with replac- ing a nonlinear nonlocal bond-based peridynamic model with a local elasticity model or a linearized peridynamic model away from the fracture set. The non- local model treated …