Affiliation:
1. Harbin Engineering University
Abstract
Steady state responses of a circular cavity and a semi-circular canyon subjected by plane SH wave in an elastic quarter are presented by using Fourier-Hankel wave function expansion method and image method with Fourier series expansion on the boundary conditions to determine linear algebraic equations of unknown wave function coefficients. Especially, displacement and stress component expressions are formulated for incident, reflected, scattering waves, respectively. This method can provide an analytical ideas and methods for further studies of elastodynamic interface problems.
Publisher
Trans Tech Publications, Ltd.
Reference7 articles.
1. Y.H. Pao, C.C. Mow: Diffraction of Elastic Waves and Dynamic Stress Concentrations (Crane & Russak, New York 1973).
2. J.D. Achenbach: Wave Propagation in Elastic Solids (North-Holland, Amsterdam 1973).
3. D.K. Liu, B.Z. Gai, G.Y. Tao: Wave Motion Vol. 4 (1982), p.293.
4. D.K. Liu, F. Han: Soil Dynamics and Earthquake Engineering Vol. 10 (1991), p.249.
5. J.X. Zhao, H. Qi: Journal of Mechanics Vol. 25 (2009), p.411.