Propagation of transient elastic waves in multilayered composite structure subjected to dynamic anti-plane loading with thermal effects

Abstract This paper investigates the transient responses of multilayered composite structure under the action of dynamical anti-plane concentrated forces with thermal effects. To obtain the transient solutions, the boundary value problem is presented by using Fourier-Laplace transform; the Cagniard’s method is adopted in inversing the solution to be expressed in time domain; and the theory of limit is employed to derive the corresponding static solution. Numerical results show that the closer the receiver's vertical position is to the surface, the slower the transient response approaches the static value in the near field of the transient waves. A sharp fluctuation appears after a short time in the intermediate and far field; and the transient response finally approaches the static value in the end. Variation of the temperature does not affect the waveform and non-dimensional arriving time of the transient shear waves. However, the higher the variation of environmental temperature, the smaller the amplitude of the transient responses.