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

B. Kilic, Erdogan Madenci

Research output: Contribution to journalArticle

107 Citations (Scopus)

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 2010

Fingerprint

Adaptive Dynamics
Relaxation Method
Steady-state Solution
Nonlinear equations
Equations of motion
Damage
Explicit Time Integration
damage
nonlinear equations
Discontinuity
Equations of Motion
discontinuity
Nonlinear Equations
equations of motion
Simulation
simulation
Experiments
Valid
Propagation
Necessary

Keywords

  • Damage
  • Dynamic relaxation
  • Nonlinear
  • Peridynamics

ASJC Scopus subject areas

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

Cite this

An adaptive dynamic relaxation method for quasi-static simulations using the peridynamic theory. / Kilic, B.; Madenci, Erdogan.

In: Theoretical and Applied Fracture Mechanics, Vol. 53, No. 3, 06.2010, p. 194-204.

Research output: Contribution to journalArticle

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