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math.AP2020
Nonlocal elastodynamics and fracture
Robert P. Lipton, Prashant K. Jha
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…
math.AP2019
Classic dynamic fracture recovered as the limit of a nonlocal peridynamic model: The single edge notch in tension
Robert Lipton, Prashant K. Jha
A simple nonlocal field theory of peridynamic type is applied to model brittle fracture. The fracture evolution is shown to converge in the limit of vanishing nonlocality to classi…