Journal of Theoretical
and Applied Mechanics

56, 4, pp. 915-925, Warsaw 2018
DOI: 10.15632/jtam-pl.56.4.915

Inclined surface cracks in a graded half-plane subjected to frictional sliding contact

Onur Arslan
Fracture parameters of an inclined surface crack in a graded half-plane subjected to sli-
ding frictional contact are investigated in this study. The problem is modelled via the finite
element method (FEM) under the plane strain assumption employing a newly developed di-
splacement boundary condition. The shear modulus of the half-plane is graded exponentially
through the thickness direction by means of the homogeneous finite element approach. The
augmented Lagrange algorithm is selected as an iterative contact solver. The mixed mode
stress intensity factors (SIFs) which are induced by the contact stresses are evaluated utili-
zing the Displacement Correlation Technique (DCT). The accuracy of the present procedure
is ensured comparing the SIF results to those calculated by an analytical method for verti-
cal surface cracks. Additional SIF curves are generated as functions of the crack inclination
in order to reveal the effects of non-homogeneity, punch location, crack length and friction
coefficient. The prominent conclusion of this study indicates that the crack orientation has
profound effects on the behavior of SIF curves, which has not been presented in any study
published so far. Hence, consideration of crack inclination is proved essential to successfully
predict fracture behavior of a graded medium under frictional contact.
Keywords: inclined surface cracks, crack/contact problems, graded materials, finite element method

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