An analytical and experimental study of impulsive stress of square plates at an impact loading point by the 3-dimensional dynamic theory of elasticity

Abstract

In this paper, a new method is proposed to analyze impulsive stresses at an impact loading point, which cannot be solved by the classical plate theory. Particularly, impulsive stresses at an impact loading point under any impact conditions(regardless of mass of impactor, velocity of impactor, stiffness of plate, etc.), can be obtained by the three-dimensional dynamic: theory of elasticity and potential theory of displacement. In addition, by using the Hertzian contact theory, impact loading can be analyzed to account for the local deformation, and this load is applied to the impulsive stress analysis by approxima­ ting the impact loading to an analyzable function. In the numerical analysis, the fast Fourier transform(FFT) algorithm and the numerical inverse Laplace transformation are utilized. Using a new equation, it was possible to analyze impulsive stresses at an impact loading point, and good agreement between the experimental and theoretical results was established.