Glasgow Mathematical Journal: Volume 12 -

Quadruple integral equations and operators of fractional integration
M. Iftikhar Ahmad
Published online by Cambridge University Press:

18 May 2009, pp. 60-64
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Cooke [1] modified a technique used by Erdelyi and Sneddon [2] to solve triple integral equations of a certain type. In this paper, we extend this method to solve the quadruple integral equations
where F1, G2, F3 and G4 are prescribed functions of p and ψ(ξ) is to be determined. With no loss of generality we shall assume that G2(p)≡0, G4(p)≡0.

Crack-like imperfections in a spherical shell †
G. C. Sih, P. S. Dobreff
Published online by Cambridge University Press:

18 May 2009, pp. 65-88
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In structures having high strength-to-weight ratios such as those used in aerospace applications, the presence of mechanical imperfections can reduce the capability of the structure to perform as intended. Thus, it becomes essential to account for the localized intensification of the stresses around through or surface cracks, which might trigger fracture under applied loads. This type of study is currently receiving great research emphasis.

Glasgow Mathematical Journal