Singular Integral Equation Approach to Plane Wave Diffraction by an Infinite Strip Grating at Oblique Incidence

1990 ◽  
Vol 4 (6) ◽  
pp. 505-519 ◽  
Author(s):  
A. Matsushima ◽  
T. Itakura
Keyword(s):  
Integral Equation ◽  
Singular Integral Equation ◽  
Plane Wave ◽  
Singular Integral ◽  
Wave Diffraction ◽  
Oblique Incidence ◽  
Infinite Strip ◽  
Equation Approach ◽  
Integral Equation Approach ◽  
Plane Wave Diffraction

An Integral Equation Approach to the Semi-Infinite Strip Problem

1973 ◽  
Vol 40 (4) ◽  
pp. 948-954 ◽  
Author(s):  
G. D. Gupta
Keyword(s):  
Integral Equation ◽  
Singular Integral Equation ◽  
Singular Integral ◽  
Laminate Composite ◽  
Integral Transform ◽  
Stress Singularity ◽  
Infinite Strip ◽  
Integral Equation Approach ◽  
Fixed End ◽  
Integral Transform Technique

A semi-infinite strip held rigidly on its short end is considered. Loads in the strip at infinity (far away from the fixed end) are prescribed. Integral transform technique is used to provide an exact formulation of the problem in terms of a singular integral equation. Stress singularity at the strip corner is obtained from the singular integral equation which is then solved numerically. Stresses along the rigid end are determined and the effect of the material properties on the stress-intensity factor is presented. The method can also be applied to the problem of a laminate composite with a flat inclusion normal to the interfaces.

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