Abstract
A technique employing double integral transforms is given for treating pulse propagation problems in a viscoelastic solid with geometric dispersion. It is used in connection with a correspondence principle and a linear model. Two examples treated are, taken from the general problem of pulse scattering by a circular cylindrical cavity in the infinite solid. In the corresponding elastic problem Rayleigh waves, generated by the pulse-cavity interaction, are spatially non-decaying (in θ about the cavity), periodic disturbances that predominate for long time. It is shown that their viscoelastic counterparts are spatially attenuated waves.
This work was sponsored by AFSWC, Kirtland Air Force Base, New Mexico, through Contract No. AF 29(601)-5395 with National Engineering Science Company, Pasadena, California.
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Bibliography
Soldate, A.M., and J. F. Hook: National Engr. Sci. Co. Tech. Doc. Rep. No. AFSWC-TDR-62–30 for Kirtland Air Force Base, N.M., (Mar. 1962), Appendix III.
Lloyd, J. R., and J. Miklowitz: Proc. 4th U.S. Nat. Congr. Appl. Mech. Vol. 1, 1962, pp. 255–268.
Miklowitz, J.: National Engr. Sci. Co. Tech. Doc. Rep., No. RTD—TDR 63–3052 (AFWL, Kirtland Air Force Base, N. Mex.) Nov. 1963.
Friedlander, F. G.: Comm. Pure Appl. Math. 7, 705–732 (1954). See also Sound Pulses, Cambridge U. 1958.
Viktorov, I. A.: Sov. Phys. Accoust., Amer. Inst. Phys. Transl. 4, 131 (1958).
Erdelyi, A., et al.: Higher Transcendental Functions, Vol. 2, New York: McGraw-Hill Book Co. 1953.
Oberhettinger, F.: Tabellen zur Fourier Transformation, Berlin/Göttingen/Heidelberg: Springer-Verlag 1957.
de Hoop, A. T.: Second Annual Rep., Seismic Scattering Proj., Inst. Geophys. UCLA 1957.
Bland, D. R.: Theory of Linear Viscoelasticity, London: Pergamon 1960, pp. 95–96.
Lee, E. H., and I. Kanter: J. Appl. Phys. 24, 1115 (1953).
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© 1964 Springer Verlag, Berlin / Göttingen / Heidelberg
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Miklowitz, J. (1964). Pulse Propagation in a Viscoelastic Solid with Geometric Dispersion. In: Kolsky, H., Prager, W. (eds) Stress Waves in Anelastic Solids. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-88288-3_19
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DOI: https://doi.org/10.1007/978-3-642-88288-3_19
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