Journal
INTERNATIONAL JOURNAL OF FRACTURE
Volume 176, Issue 2, Pages 195-206Publisher
SPRINGER
DOI: 10.1007/s10704-012-9745-8
Keywords
J-integral; Peridynamics; Nonlocal methods; Path-independence; Fracture
Categories
Funding
- UNL
- ARO [58450EG]
- Sandia National Laboratories [568428]
- U.S. Department of Energy's National Nuclear Security Administration [DE-AC04-94AL85000]
- ARL
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This work presents a rigorous derivation for the formulation of the J-integral in bond-based peridynamics using the crack infinitesimal virtual extension approach. We give a detailed description of an algorithm for computing this nonlocal version of the J-integral. We present convergence studies (m-convergence and delta-convergence) for two different geometries: a single edge-notch configuration and a double edge-notch sample. We compare the results with results based on the classical J-integral and obtained from FEM calculations that employ special elements near the crack tip. We identify the size of the nonlocal region for which the peridynamic J-integral value is near the classical FEM solutions. We discuss how the boundary conditions and the peridynamic skin effect may influence the peridynamic J-integral value. We also observe, computationally, the path-independence of the peridynamic J-integral.
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