The formulation and computation of the nonlocal J-integral in bond-based peridynamics

• Published in: International journal of fracture Vol. 176; no. 2; pp. 195 - 206
• Main Authors: Hu, Wenke, Ha, Youn Doh, Bobaru, Florin, Silling, Stewart A.
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.08.2012; Springer; Springer Nature B.V
• Subjects: Algorithms; Automotive Engineering; Bonding; Boundary conditions; Characterization and Evaluation of Materials; Chemistry and Materials Science; Civil Engineering; Classical Mechanics; Computation; Convergence; Crack tips; Exact sciences and technology; Finite element method; Formulations; Fracture mechanics; Fracture mechanics (crack, fatigue, damage...); Fundamental areas of phenomenology (including applications); J integral; Materials Science; Mathematical models; Mechanical Engineering; Original Paper; Physics; Skin effect; Solid mechanics; Structural and continuum mechanics; J-integral; Peridynamics; Fracture; Nonlocal methods; Path-independence; J integral; Notched test piece; Notch; Rupture; Skin effect; Modeling; Crack propagation; Finite element method; Virtual work principle; Signal processing; Integral equation; Crack tip; Non local theory

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...