IMPULSIVE STRESS-ANALYSIS OF PLATES AT THE CONCENTRATED IMPACT LOADING POINT BY THE 3-DIMENSIONAL DYNAMIC THEORY OF ELASTICITY

In this paper, a method of stress analysis is proposed to analyze impu lsive stresses at an impact loading point, since use of the classical plate theory cannot lead to a convergent result. In particular, under these impact conditions (regardless of mass of impactor, velocity of i mpactor, stiffness of plate, etc.), we used the three-dimensional dyna mic theory of elasticity and potential theory of displacement to analy ze the impulsive strains at an impact loading point. Also, by using He rtzian contact theory to account for local deformation, the impact loa ding could be analyzed, and this loading was applied to the impulsive stress analysis by allowing the impact loading to be approximated to a n analyzable function. In the numerical analysis, we used a fast Fouri er transform (FFT) algorithm and applied the numerical inverse Laplace transformation.