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1981). On the low-Reynolds-number Row in a helical pipe. J. Fluid Mech. 108, 185-194. , Pedley, T. , and Riley, D. S. (1977). Viscous Row in collapsible tubes of slowly varying elliptical cross-section. J. Fluid Mech. 81, 273-294. Williams, J . , 111 (1963). Viscous compressible and incompressible Row in slender channels. A I M J. 1, 186-195. This Page Intentionally Left Blank A D V A N C E S I N A P P L I E D MECHANICS, VOLUME 25 Modern Corner, Edge, and Crack Problems in Linear Elastodynamics Involving Transient Waves JULIUS MIKLOWITZ Division of Engineering and Applied Science California Institute of Technology Pasadena, California 91 125 I.

1. 6) determines their right-hand sides. Thus we see the choice of spatial transforms here was made so that the given edge conditions would be asked for. 6). The n ( K , p ) are found to be + " I d , * T ~ The . particular integrals are found to be "' = u o ~ / p 2 ~and :, 6 ; ' = 0. 11) stemming from the symmetry of the loading and the fact that the two algebraic equations, which yielded n(K, p ) = * " I d , * q s , must hold for all these values of n(K, p ) . 2) vanish at y = * h are transformed with an eye on the fact that u involves a sine and u a cosine transform.

49, 451-459. Massonet, Ch. (1962). Elasticity: Two-dimensional problems, In “Handbook of Engineering Mechanics” (W. ), pp. 37-1 to 37-30, especially p. 37-23. McGraw-Hill, New York. Morse, P. , and Feshbach, H. (1953). ” McGraw-Hill, New York. Olson, D. E. (1971). Fluid mechanics relevant to respiration: Flow within curved or elliptical tubes and bifurcating systems. D. thesis, Imperial College, London. , ed. (1963). ” Oxford Univ. Press, London. Sobey, I. J. (1976). Inviscid secondary motions in a tube of slowly varying ellipticity.