Abstract:Stress wave propagation theory is the basis for analyzing the dynamic response and failure characteristics of structures and materials under explosion/impact loads. It is of significant value in the defense and civil engineering. A review and some discussions on the development of the theory of nonlinear stress wave propagation and its engineering applications, carried out by the authors in nearly half a century, are presented in this paper, which includes the interaction of nonlinear stress waves and unloading failure due to the unloading stress wave, the theory of nonlinear viscoelastic wave propagation and its application, the interaction between dynamic damage/failure and stress wave, as well as the application of stress wave theory in protective engineering.