Finite element analysis of crack mouth opening displacement compliance in crack length evaluation for clamped single edge tension specimens

E. Wang, M. Omiya

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

In the unloading compliance method developed for clamped single edge tension (SE(T)) specimens, six crack mouth opening displacement (CMOD)-based compliance equations (i.e. a/W = f(BCE')) were proposed for the crack length evaluation without clearly clarifying the corresponding predictive accuracies. In addition, the effective elastic modulus (Ee) that reflects the actual state of stress should also be introduced in the crack length evaluation for SE(T) specimens, because the actual state of stress in the remaining ligament of the test specimen is neither plane stress (E) nor plane strain (E'). In this study, two-dimensional (2D) plane strain and three-dimensional (3D) finite element analyses (FEAs) are carried out to investigate predictive accuracies of the six compliance equations. In both 2D and 3D FEA, specimens with a wide range of crack lengths and geometric configurations are included. For a given specimen, the value of Ee that presents the equivalent stress state in the remaining ligament is calculated on the basis of 3D FEA data. A set of formulae for the clamped SE(T) specimen is proposed that allows to evaluate Ee from the corresponding CMOD compliance. This approach is verified using numerical data. The observations of the numerical verification suggest that the use of Ee instead of E or E' in CMOD-based compliance equations markedly improves the accuracy of the predicted crack length for clamped SE(T) specimens.

Original languageEnglish
Pages (from-to)315-329
Number of pages15
JournalFatigue and Fracture of Engineering Materials and Structures
Volume38
Issue number3
DOIs
Publication statusPublished - 2015 Mar 1

Keywords

  • BS 8571
  • J-integral (J)
  • compliance equation
  • crack length measurement
  • effective elastic modulus (E)
  • finite element analysis (FEA)

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

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