Discretized peridynamics for brittle and ductile solids

• Published in: International journal for numerical methods in engineering Vol. 89; no. 8; pp. 1028 - 1046
• Main Authors: Liu, Wenyang, Hong, Jung-Wuk
• Format: Journal Article
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 24.02.2012; Wiley
• Subjects: Exact sciences and technology; Fracture mechanics (crack, fatigue, damage...); Fundamental areas of phenomenology (including applications); GPU computing; multiscale; nonlocal; peridynamics; Physics; Solid mechanics; Structural and continuum mechanics; Brittle material; Elastic material; Discretization method; Crack propagation; nonlocal; Three dimensional model; Graphic processing unit; Integral equation; Ductile material; Continuum mechanics; multiscale; GPU computing; Crack initiation; peridynamics
• ISSN: 0029-5981; 1097-0207
• DOI: 10.1002/nme.3278

SUMMARY Peridynamics is a theory of continuum mechanics expressed in forms of integral equations rather than partial differential equations. In this paper, a peridynamics code is implemented using a graphics processing unit for highly parallel computation, and numerical studies are conducted to investigate the responses of brittle and ductile material models. Stress–strain behavior with different grid sizes and horizons is studied for a brittle material model. A comparison of stresses and strains between finite element analysis (FEA) and peridynamic solutions is performed for a ductile material. By applying the proposed procedure to bridge the material model defined for peridynamic bonds and the corresponding macroscale material model for FEA, peridynamics and FEA show good agreements as regards the stresses and strains. Copyright © 2011 John Wiley & Sons, Ltd.