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Numerical solutions for cracks in an elastic half-plane
The behavior of the stress intensity factor at the tips of cracks subjected to uniaxial tension σ 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....
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Published in: | Acta mechanica Sinica 2019-02, Vol.35 (1), p.212-227 |
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Main Authors: | , , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | The behavior of the stress intensity factor at the tips of cracks subjected to uniaxial tension
σ
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. |
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ISSN: | 0567-7718 1614-3116 |
DOI: | 10.1007/s10409-018-0803-y |