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Acta Mechanica Sinica
Erschienen in: Acta Mechanica Sinica 1/2019

29.10.2018 | Research Paper

Numerical solutions for cracks in an elastic half-plane

verfasst von: N. R. F. Elfakhakhre, N. M. A. Nik Long, Z. K. Eshkuvatov

Erschienen in: Acta Mechanica Sinica | Ausgabe 1/2019

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Abstract

The behavior of the stress intensity factor at the tips of cracks subjected to uniaxial tension \(\sigma ^{\infty }_{x}=p\) 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.
Vorheriger Artikel Variable-stiffness composite cylinder design under combined loadings by using the improved Kriging model
Nächster Artikel An R(x)-orthonormal theory for the vibration performance of a non-smooth symmetric composite beam with complex interface

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Metadaten
Titel
Numerical solutions for cracks in an elastic half-plane
verfasst von
N. R. F. Elfakhakhre
N. M. A. Nik Long
Z. K. Eshkuvatov
Publikationsdatum
29.10.2018
Verlag
The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences
Erschienen in
Acta Mechanica Sinica / Ausgabe 1/2019
Print ISSN: 0567-7718
Elektronische ISSN: 1614-3116
DOI
https://doi.org/10.1007/s10409-018-0803-y

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