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Meccanica

pp 1–14 | Cite as

An equivalent von Mises stress and corresponding equivalent plastic strain for elastic–plastic ordinary peridynamics

  • Mojtaba Asgari
  • Mohammad Ali KouchakzadehEmail author
Article
  • 95 Downloads

Abstract

Simple formulas for calculating equivalent von Mises stress and von Mises effective plastic strain in an elastic–plastic ordinary peridynamic analysis are proposed. The equivalent von Mises stress is calculated by equating the deviatoric part of strain energy obtained from classical continuum mechanics and peridynamics. The effective plastic strain is proposed so that it reduced to uniaxial plastic strain in uniaxial tension test. Two example problems of the plate with a hole and a central crack under tension are considered to verify the validity of the proposed formulas. The plots of von Mises stress, equivalent plastic strain, plastic zone area and horizontal and vertical displacements are extracted and compared with the results obtain from the finite element analysis. The results show the good accuracy of the peridynamics in predicting the above mentioned parameters as well as the validity of the suggested formulas in predicting von Mises stress and equivalent plastic strain.

Keywords

Peridynamics Plasticity von Mises stress Plastic strain 

Notes

Funding

This work was supported by the Sharif University of Technology [Grant Number QA961027].

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Department of Aerospace EngineeringSharif University of TechnologyTehranIran

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