Linearized state‐based peridynamics for 2‐D problems

Abstract

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.

Document Details

Document Type
Pub Defense Publication
Publication Date
Apr 01, 2016
Source ID
10.1002/nme.5250

Entities

People

  • F. Bobaru
  • G. Sarego
  • M. Zaccariotto
  • Q. V. Le
  • U. Galvanetto

Organizations

  • Army Research Office
  • University of Nebraska–Lincoln
  • University of Padua

Tags

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Health Monitoring of Composite Structures.