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Numerical solutions for cracks in an elastic half plane


Elfakhakhre, Nawara Rajab Fathullah and Nik Long, Nik Mohd Asri and Eshkuvatov, Zainidin K. (2019) Numerical solutions for cracks in an elastic half plane. Acta Mechanica Sinica, 35. pp. 212-227. ISSN 1614-3116; ESSN: 0567-7718


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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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1007/s10409-018-0803-y
Publisher: Springer
Keywords: Elastic half-plane; Multiple cracks; Singular integral equation; Sine-shaped crack
Depositing User: Ms. Nida Hidayati Ghazali
Date Deposited: 30 Oct 2020 21:01
Last Modified: 30 Oct 2020 21:01
Altmetrics: https://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1007/s10409-018-0803-y
URI: http://psasir.upm.edu.my/id/eprint/81502
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