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Finite element analysis of crack mouth opening displacement compliance in crack length evaluation for clamped single edge tension specimens
Author(s) -
Wang E.,
Omiya M.
Publication year - 2015
Publication title -
fatigue and fracture of engineering materials and structures
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.887
H-Index - 84
eISSN - 1460-2695
pISSN - 8756-758X
DOI - 10.1111/ffe.12233
Subject(s) - finite element method , structural engineering , tension (geology) , materials science , displacement (psychology) , plane stress , stress (linguistics) , ligament , crack tip opening displacement , modulus , enhanced data rates for gsm evolution , plane (geometry) , composite material , stress intensity factor , geometry , mathematics , ultimate tensile strength , engineering , surgery , medicine , psychology , telecommunications , linguistics , philosophy , psychotherapist
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 ( E e ) 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 E e 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 E e from the corresponding CMOD compliance. This approach is verified using numerical data. The observations of the numerical verification suggest that the use of E e instead of E or E ′ in CMOD‐based compliance equations markedly improves the accuracy of the predicted crack length for clamped SE(T) specimens.