Studies on the scattering problem of circular cavity in circular area to in-plane wave

The wave function expansion method, complex function method and the special function transformation technology were employed to investigate the elastic wave scattering problems of the circular cavity in the circular area under the action of the in-plane disturbance locating on the outer boundary of the circular area. The boundary of the circular area and the boundary of the inner circular cavity produce scattering waves, the superposition principle was used to give the total displacement potentials in the circular area, the boundary stress conditions and the Fourier series expansion were utilized to obtain the infinite algebraic equation group of the unknown coefficients, solve the equations and obtain the unknown coefficients, the variations and distributions of the dynamic tangential stress concentration coefficient on the circular cavity boundary about the dimensionless wave number were discussed and the numerical computation results of the example was given to illustrate the theoretical conclusions. © 2013 Asian Network for Scientific Information.