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Elastic potentials which are used in this treatise have been first introduced by Kupradze23)>25) for steady-state elastodynamic problems. Analogous sigularity methods have been utilized by Massonnet26) and Rieder27). The direct formulation has been used by Shaw and Friedman29*'17) for transient acoustic scattering problems by the use of retarded potential techniques, by Banaugh and Goldsmith2)' 3) for time-harmonic acoustic and elastic problems, and by Jaswon and Ponter21) for torsion problems.

Brebbia, CA. ); Boundary Element Methods, Springer-Verlag, Berlin, 1981. Brebbia, CA. ); Progress in Boundary Element Methods, Vol. 1, Pentech Press, London, 1981. H. ; Sound radiation from an arbitrary body, / Acoust Soc. , Vol. 35, pp. 1626-1632, 1963. ; Numerical solutions in three dimensional elastostatics, Int. J. Solids and Struc­ tures, Vol. 5, pp. 1259-1274, 1969. A. and Rizzo, F J . (eds); Boundary-Integral Equation Method: Computational Ap­ plications in Applied Mechanics, ASME, AMD-Vol.

Sound and Vibration, Vol. 59, pp. 245-262, 1978. P. ; Prediction of the sound field radiated from axisymmetric surfaces,/. Acoust. Soc. , Vol. 65, pp. 631-638, 1979. ; Multidimensional Singular Integrals and Integral Equations, Pergamon press, Oxford, 1965. ; Improved integral formulation for acoustic radiation problems, /. Acoust. Soc. , Vol. 44, pp. 41-58, 1968. ; Boundary integral equation methods applied to wave problems, Developments in Boundary Element Methods-1, Ch. 6, Eds. K. , London, pp.

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