A simple analytical crack tip opening displacement approximation under random variable loadings

Yongming Liu, Zizi Lu, Jifeng Xu

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

A simple analytical approximation is proposed in this paper to calculate the crack tip opening displacement under general random variable amplitude loadings. This approximation is based on a modified Dugdale model for cyclic loadings. The discussion is first given under constant amplitude loading and is extended to several simple cases under variable amplitude loadings. Following this, a general algorithm is proposed under general random variable loadings. Numerical examples are verified with finite element simulations. Following this, hardening effect is included by including a hardening correction function. The proposed analytical approximation is very efficient compared to the direct finite element simulation. The solution can be used for detailed fatigue crack growth analysis under random variable amplitude loadings.

Original languageEnglish (US)
Pages (from-to)189-201
Number of pages13
JournalInternational Journal of Fracture
Volume173
Issue number2
DOIs
StatePublished - Feb 2012
Externally publishedYes

Fingerprint

Crack Tip
Random variables
Crack tips
Random variable
Hardening
Approximation
Analytical Approximation
Finite Element Simulation
Fatigue crack propagation
Growth Analysis
Fatigue Crack Growth
Cyclic Loading
Calculate
Numerical Examples

Keywords

  • Crack tip opening displacement
  • Cyclic loading
  • Random
  • Variable loading

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mechanics
  • Modeling and Simulation

Cite this

A simple analytical crack tip opening displacement approximation under random variable loadings. / Liu, Yongming; Lu, Zizi; Xu, Jifeng.

In: International Journal of Fracture, Vol. 173, No. 2, 02.2012, p. 189-201.

Research output: Contribution to journalArticle

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