Linearized state‐based peridynamics for 2‐D problems

Abstract

Summary In this work, the authors formulate a 2‐D linearized ordinary state‐based peridynamic model of elastic deformations and compute the stiffness matrix for 2‐D plane stress/strain conditions. This model is then verified by testing the recovery of elastic properties for given Poisson's ratios in the range 0.1–0.45. The convergence behavior of peridynamic solutions in terms of the size of the nonlocal region by comparison with the classical (local) mechanics model is also discussed. The degree to which the peridynamic surface effect influences the recovery of elastic properties is examined, and stress/strain recovery values are found to have a definite influence on the results. The technique used here can provide the basis for applying 2‐D peridynamic models to the study of fatigue failure and quasi‐static fracture problems. Copyright © 2016 John Wiley & Sons, Ltd.

Bond-based peridynamics: a quantitative study of Mode I crack opening

“…One reason for the similar accuracies of the quadrature rules in Table 2 is that the surface effect of peridynamics affects the computation of the Young's modulus using the stress-strain curve. An alternative method that overcomes this issue is presented in Sarego et al (2016) where the authors compute the elastic modulus using the displacement. Nevertheless, for reasons of simplicity we stick to the spacial integration of LAMMPS.…”

An implicit dual‐based approach to couple peridynamics with classical continuum mechanics

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