The impact of periodicity in functionally graded materials on the attenuation of elastic shear waves

Abstract

This research, based on the traditional theory of elastic wave propagation, employs the method of complex variable function method to solve the propagation problem of elastic SH waves in periodically inhomogeneous media. To enhance the seismic resistance of building structures, based on the wave impedance theory, the modulus and density of seismic functional gradient materials are designed to follow the trigonometric periodic gradient variation. Under this variation in density and modulus, the internal stress field and displacement field within the material continuously changes with the variation of the non-uniform parameter after excitation by incident waves. This study explores the optimal solution for the non-uniform parameters in this setting. The reasonable explanation for the variation of the displacement field inside the material is provided. The seismic gradient material was guided in the design.