Dynamic Interaction of Interfacial Point Source Loading and Cylinder in an Elastic Quarter with Anti-plane Shear

[摘要] Theoretical steady state solution of a semi-circular cylinder impacted by an anti-plane point loading in a vertical bound of an elastic quarter is formulated in this paper through using image method and wave function expansion series. The elastic quarter is extended as a half space, and the semi-circular interfacial cylinder is extended as a circular cylinder. Displacement field is constructed as series of Fourier-Hankel and Fourier-Bessel wave functions. At last, circular boundary is expanded as Fourier series to determine coefficients of wave function. Numerical results show that material parameters have two widely divergent effects on the radial and circumferential dynamic stress distribution.

[发布机构] College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin; 150001, China^1;Department of Civil Engineering, Harbin University, Harbin; 150086, China^2

[效力级别] 无线电电子学

[关键词] Circular boundaries;Displacement field;Dynamic interaction;Material parameter;Numerical results;Semi-circular cylinders;Steady state solution;Wave-function expansion