| Analysis of mode Ⅲ crack perpendicular to the interface between two dissimilar strips |
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| 摘 要： | The present work is concerned with the problem of mode Ⅲ crack perpendicular to the interface of a bi-strip composite. One of these strips is made of a functionally graded material and the other of an isotropic material, which contains an edge crack perpendicular to and terminating at the interface. Fourier transforms and asymptotic analysis are employed to reduce the problem to a singular integral equation which is numerically solved using Gauss-Chebyshev quadrature formulae. Furthermore, a parametric study is carried out to investigate the effects of elastic and geometric characteristics of the composite on the values of stress intensity factor.
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| 关 键 词： | 复合材料 垂直裂缝 切应力 傅里叶变换 奇异积分方程 |
Analysis of mode III crack perpendicular to the interface between two dissimilar strips |
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| Authors: | M S Matbuly |
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| Institution: | Department of Engineering Mathematics and Physics,Faculty of Engineering, Zagazig University,EO. 44519, Zagazig, Egypt, |
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| Abstract: | The present work is concerned with the problem of mode III crack perpendicular to the interface of a bi-strip composite. One of these strips is made of a functionally graded material and the other of an isotropic material, which contains an edge crack perpendicular to and terminating at the interface. Fourier transforms and asymptotic analysis are employed to reduce the problem to a singular integral equation which is numerically solved using Gauss–Chebyshev quadrature formulae. Furthermore, a parametric study is carried out to investigate the effects of elastic and geometric characteristics of the composite on the values of stress intensity factor. |
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| Keywords: | Composite · Interface · Perpendicular crack ·Anti-plane shear stress · Fourier transform Singular integral equation |
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