Publication: Numerical solutions for cracks in an elastic half-plane
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Date
2019-02
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Publisher
Springer Heidelberg
Abstract
The behavior of the stress intensity factor at the tips of cracks subjected to uniaxial tension sigma x=p with traction-free boundary condition in half-plane elasticity is investigated. The problem is formulated into singular integral equations with the distribution dislocation function as unknown. In the formulation, we make used of a modified complex potential. Based on the appropriate quadrature formulas together with a suitable choice of collocation points, the singular integral equations are reduced to a system of linear equations for the unknown coefficients. Numerical examples show that the values of the stress intensity factor are influenced by the distance from the cracks to the boundary of the half-plane and the configuration of the cracks.
Description
Acta Mechanica Sinica/Lixue Xuebao
Volume 35, Issue 1, 7 February 2019, Pages 212-227
Keywords
Elastic half-plane, Multiple cracks, Singular integral equation, Sine-shaped crack