Abstract
The scattering of a plane pulse by a circular cylindrical cavity in an infinite homogeneous, isotropic, linear elastic solid is a basic problem of current interest in studies on protective construction. Information exists in the literature on the stress, displacement, and velocity fields in the problem. Baron, Matthews, and Parnes [2, 3] evaluated, except for early time, the circumferential stress, displacements, and velocities at the cavity wall for the case of the incident plane step pressure, and also extended the work to the related shear wave input [4], Also, in the case of incident step pressure, approximations for the circumferential stress and displacements were given by Gilbert [5] for high frequency-short time, and by Soldate and Hook [6] for low freauencv-lons time.
This paper has been abstracted from Air Force Weapons Laboratory Keport No. AFWL-TDK 63-3052 [1], The work was sponsored by Kirtland Air Force Base, New Mexico, through contract No. AF 29(601)-5395 with the National Engineering Science Company.
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Miklowitz, J.: The Scattering of Transient Elastic Waves by a Circular Cylindrical Cavity. Nat. Engr. Science Co., Tech. Doc. Report No. AFWL-TDR 63-3052, for AFSWC Kirtland Air Force Base, N.M., Nov. 1963.
Baron, M.L., and A. T. Matthews: Diffraction of a Pressure Wave by a Cylindrical Cavity in an Elastic Medium. J. Appl. Mech., vol. 28; Trans. ASME 83 (1961) 347–354.
Baron, M. L., and R. Parnes: Displacements and Velocities Produced by Diffraction of a Pressure Wave by a Cylindrical Cavity in an Elastic Medium. J. Appl. Mech., vol. 29; Trans. ASME 84 (1962) 385–395.
Baron, M. L., and A. T. Matthews: Diffraction of a Shear Wave by a Cylindrical Cavity in an Elastic Medium. J. Appl. Mech., vol. 29; Trans. ASME 84 (1962) 205–206.
Gilbert, J. F.: Elastic Wave Interaction with Cylindrical Cavity, E. H. Plesset Associates, Inc., Los Angeles, Calif., Report to WDIE, AF BMD, Contr. AF 04(647)-342, Dec. 1959.
Soldate, A. M., and J. F. Hook: A Theoretical Study of Structure-Medium Interaction, NESCO, Pasadena, Calif., Report to AFSWC, Kirtland Air Force Base, Contr. AF 29(601)-2838, Report AFSWC-TN-61-6, Nov. 1960.
Miklowitz, J.: Pulse Propagation in a Viscoelastic Solid with Geometric Dispersion, IUTAM Symposium on Stress Waves in Anelastic Solids, Brown University, April 1963. Proceedings, Berlin/Göttingen/Heidelberg/New York: Springer 1964.
Friedlander, F. G.: Diffraction of Pulses by a Circular Cylinder, Comm. Pure Appl. Math. 7 (1954) 705-732. See also his book “Sound Pulses”, Cambridge University Press 1958.
van der Pol, B., and H. Bremmer: Operational Calculus Based on the Two-Sided Laplace Integral, Cambridge University Press 1950.
Payton, R. G.: Transient Interaction of an Acoustic Wave with a Circular Cylindrical Elastic Shell. J. Acoust. Soc. Amer. 32 (1960) 722–729.
Viktorov, I. A.: Rayleigh-Type Waves on a Cylindrical Surface, Soviet Physics-Acoustics 4 (1958) 131–136 (Amer. Inst. Physics Transi.).
Peck, J. C.: Plane Strain Diffraction of Transient Elastic Waves by a Circular Cavity, Ph. D. Thesis, Calif. Inst. of Tech., June 1965.
Erdelyi, A., W. Magnus, F. Oberhettinger, and F. G. Tricomi: Higher Transcendental Functions, vol. 2, Bateman Manuscript Project, New York: McGraw-Hill 1953.
Oberhettinger, F.: Tabellen zur Fourier-Transformation, Die Grundlehren der Mathematischen Wissenschaften, Berlin/Göttingen/Heidelberg: Springer 1957.
Erdelyi, A.: Asymptotic Expansions, Dover Publications, 1956, pp. 46-51.
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Miklowitz, J. (1966). Scattering of a plane elastic compressional pulse by a cylindrical cavity. In: Görtler, H. (eds) Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-29364-5_64
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