Singular perturbation analysis of the scattering of Rayleigh waves by thin surface layers
Author:
D. A. Simons
Journal:
Quart. Appl. Math. 35 (1977), 203-211
MSC:
Primary 73.41
DOI:
https://doi.org/10.1090/qam/452020
MathSciNet review:
452020
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Additional Information
D. Quak and F. L. Neerhoff, Reflection, transmission, and excitation of SH-surface waves by a discontinuity in mass-loading on a semi-infinite elastic medium, Appl. Sci. Res. 29, 447–460 (1974)
D. A. Simons, Scattering of a Love wave by the edge of a thin surface layer. J. Appl. Mech. 42, 842–846 (1975)
D. A. Simons, Scattering of a Rayleigh wave by the edge of a thin surface layer of negligible inertia, J. Acoust. Soc. Am. 59, 12–18 (1976)
B. K. Sinha and H. F. Tiersten, Elastic and prezoelectric surface waves guided by thin films, J. Appl. Phys. 44, 4831–4854 (1973)
B. K. Sinha and H. F. Tiersten, A variational analysis of the reflection of surface waves by arrays of reflecting strips, J. Appl. Phys. 47, 2824–2832 (1976)
B. A. Auld, Acoustic fields and waves in solids, Wiley, New York, 1973
D. A. Simons, Scattering of normally incident Rayleigh waves by thin strips, J. Acoust. Soc. Am. 60, 1100–1107 (1976)
H. F. Tiersten, Elastic surface waves guided by thin films, J. Appl. Phys. 40, 770–790 (1969)
- A. E. H. Love, A treatise on the Mathematical Theory of Elasticity, Dover Publications, New York, 1944. Fourth Ed. MR 0010851
H. Lamb, On the propagation of tremors over the surface of an elastic solid, Phil. Trans. Royal Soc. Lond., Series A, 203, 1–42 (1904)
- W. T. Koiter, On the diffusion of load from a stiffener into a sheet, Quart. J. Mech. Appl. Math. 8 (1955), 164–178. MR 70410, DOI https://doi.org/10.1093/qjmam/8.2.164
- Milton Van Dyke, Perturbation methods in fluid mechanics, Applied Mathematics and Mechanics, Vol. 8, Academic Press, New York-London, 1964. MR 0176702
T. Yoneyama and S. Nishida, Reflection and transmission of Rayleigh waves by the edge of a deposited thin film, J. Acoust. Soc. Am. 55, 738–743 (1974)
D. Quak and F. L. Neerhoff, Reflection, transmission, and excitation of SH-surface waves by a discontinuity in mass-loading on a semi-infinite elastic medium, Appl. Sci. Res. 29, 447–460 (1974)
D. A. Simons, Scattering of a Love wave by the edge of a thin surface layer. J. Appl. Mech. 42, 842–846 (1975)
D. A. Simons, Scattering of a Rayleigh wave by the edge of a thin surface layer of negligible inertia, J. Acoust. Soc. Am. 59, 12–18 (1976)
B. K. Sinha and H. F. Tiersten, Elastic and prezoelectric surface waves guided by thin films, J. Appl. Phys. 44, 4831–4854 (1973)
B. K. Sinha and H. F. Tiersten, A variational analysis of the reflection of surface waves by arrays of reflecting strips, J. Appl. Phys. 47, 2824–2832 (1976)
B. A. Auld, Acoustic fields and waves in solids, Wiley, New York, 1973
D. A. Simons, Scattering of normally incident Rayleigh waves by thin strips, J. Acoust. Soc. Am. 60, 1100–1107 (1976)
H. F. Tiersten, Elastic surface waves guided by thin films, J. Appl. Phys. 40, 770–790 (1969)
A. E. H. Love, A treatise on the mathematical theory of elasticity, fourth ed., Dover, New York. 1944
H. Lamb, On the propagation of tremors over the surface of an elastic solid, Phil. Trans. Royal Soc. Lond., Series A, 203, 1–42 (1904)
W. T. Koiter, On the diffusion of load from a stiffener into a sheet, Quart. J. Mech. Appl. Math. 8, 164–178 (1954)
M. Van Dyke, Perturbation methods in fluid mechanics, Academic, New York, 1964
T. Yoneyama and S. Nishida, Reflection and transmission of Rayleigh waves by the edge of a deposited thin film, J. Acoust. Soc. Am. 55, 738–743 (1974)
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Article copyright:
© Copyright 1977
American Mathematical Society
