An adaptive dynamic relaxation method for quasi-static simulations using the peridynamic theory

B. Kilic, E. Madenci

Research output: Contribution to journalArticle

130 Scopus citations

Abstract

The peridynamic theory is advantageous for problems involving damage since the peridynamic equation of motion is valid everywhere, regardless of existing discontinuities, and an external criterion is not necessary for predicting damage initiation and propagation. However, the current solution methods for the equations of peridynamics utilize explicit time integration, which poses difficulties in simulations of most experiments under quasi-static conditions. Thus, there is a need to obtain steady-state solutions in order to validate peridynamic predictions against experimental measurements. This study presents an extension of dynamic relaxation methods for obtaining steady-state solutions of nonlinear peridynamic equations.

Original languageEnglish (US)
Pages (from-to)194-204
Number of pages11
JournalTheoretical and Applied Fracture Mechanics
Volume53
Issue number3
DOIs
StatePublished - Jun 1 2010

Keywords

  • Damage
  • Dynamic relaxation
  • Nonlinear
  • Peridynamics

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanical Engineering
  • Applied Mathematics

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