Nonlocal elastodynamics and fracture
Analysis of PDEs
2020-07-21 v3
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.
Keywords
Cite
@article{arxiv.2001.00313,
title = {Nonlocal elastodynamics and fracture},
author = {Robert P. Lipton and Prashant K. Jha},
journal= {arXiv preprint arXiv:2001.00313},
year = {2020}
}
Comments
32 pages, 5 figures. arXiv admin note: substantial text overlap with arXiv:1908.07589