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Abstract Based on the surface elasticity theory and conformal mapping technique, a theoretical study is conducted on the fracture behavior of cracked equilateral triangle hole with surface effect under antiplane shear. An exact solution of the whole-field stress around triangle hole is presented. An analytical solution for the stress intensity factors at the tips of crack is obtained. Numerical examples are provided to discuss the variations of the dimensionless stress intensity factor with the size of triangle hole, the length of crack and the surface property. The major results are: The stress intensity factor of the crack tip is dependent dramatically when the size of the triangle hole is on the order of nanometer. The present solution approaches to the classical fracture theory when the triangle hole has large characteristic dimensions. With the increase of crack length, the stress intensity factor first decreases, then increases. When the relative length of the crack is small, surface effect of the defect is quite weak. The size-dependent effect of the stress intensity factor is significantly affected by the surface property.
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Received: 21 April 2017
Published: 28 December 2017
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2017, Vol. 38 
