Abstract
In this paper, we use the complex function method for solving the problem of interaction of plane SH-waves and circular cavity surfaced with lining in anisotropic media. Anisotropic media can be used to simulate the conditions of the geology. This problem can be handled by using the method similar to that incorporated in Ref. [5] to define the scattering waves in media, added with the given boundary condition of the circular cavity.
In this paper, as illustrated in the examples, the results and discussions of numerical studies have been done for the interaction of plane SH-waves and two kinds of circular cavities, surfaced with lining made up of different materials, in anisotropic media.
Similar content being viewed by others
References
Y. H. Pao, Elastic waves in solids,ASME J. Appl. Mech.,50, 4 (1983), 1152–1764.
Liu Diankui and Han Feng, The scattering of plane SH-waves by non-circular cavity in anisotropic media,ASME J. Appl. Mech.,60, 3 (1993), 769–772.
G. N. Savin,Stress Concentration Around Holes, Moscow (1963). (in Russian)
Y. H. Pao and C. C. Mow,Diffranction of Elastic Waves and Dynamic Stress Concentrations, Grane and Russak, New York (1973).
Liu Diankui Dynamic stress concentration around a circular hole due to SH-wave in anisotropic media,Acta Mechanica Sinica,4, 2 (1988), 147–155.
Liu Dianku, Gai Bingzheng and Tao Guiyuan, Application of method of complex function to dynamic stress concentration,Wave Motion,4 (1982), 293–304.
Liu Diankui and Han Feng, Scattering of plane SH-waves on cylindrical canyon of arbitrary shape in anisotropic media,Acta Mechanica Sinica,6, 3 (1990), 256–266.
Liu Diankui and Hang Feng, Scattering of plane SH-wave by cylindrical canyon of arbitray shape,Soil Dyn. and Ear. Eng.,10, 5 (1991), 241–255.
Nasser Moeen-vaziri and M. D. Trifunac, Scattering of plane SH-waves by cylindrical canals of arbitrary shape,Soil Dyn. and Ear. Eng.,4, 1 (1985), 18–23.
Author information
Authors and Affiliations
Additional information
Communicated by Yeh Kaiyuan
Rights and permissions
About this article
Cite this article
Feng, H., Yang, W. & Diankui, L. The interaction of plane SH-waves and circular cavity surfaced with lining in anisotropic media. Appl Math Mech 16, 1149–1159 (1995). https://doi.org/10.1007/BF02466985
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02466985