On nonlocal cohesive continuum mechanics and Cohesive Peridynamic Modeling (CPDM) of inelastic fracture

In this work, we developed a bond-based cohesive peridynamics model (CPDM) and apply it to simulate inelastic fracture by using the meso-scale Xu-Needleman potential . By doing so, have successfully continuum mechanics with intrinsic stress/strain measures as well consistent built-in macro-scale constitutive relations. The main novelties of work are: (1) We shown that stress proposed nonlocal is exactly same peridynamic stress; (2) For first time, applied an irreversible stress-strain relation in material behaviors without prescribing phenomenological plasticity relations; (3) bond force possesses both axial tangential components, they contribute nonlinear variable Poisson's ratios; (4) criterion, (5) method able ductile small scale yielding continua. Several numerical examples been presented be compared finite element based zone model, which shows approach simple, efficient effective media.