Abstract
In this paper, a method of stress analysis is proposed to analyze impulsive 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 impactor, stiffness of plate, etc.), we used the three-dimensional dynamic theory of elasticity and potential theory of displacement to analyze the impulsive strains at an impact loading point. Also, by using Hertzian contact theory to account for local deformation, the impact loading could be analyzed, and this loading was applied to the impulsive stress analysis by allowing the impact loading to be approximated to an analyzable function. In the numerical analysis, we used a fast Fourier transform (FFT) algorithm and applied the numerical inverse Laplace transformation.
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Yang, I.Y., Im, K.H. Impulsive stress analysis of plates at the concentrated impact loading point by the three-dimensional dynamic theory of elasticity. Experimental Mechanics 36, 421–429 (1996). https://doi.org/10.1007/BF02328587
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DOI: https://doi.org/10.1007/BF02328587