Abstract
In the present paper, an analytical model for the propagation of stress waves in a functionally graded half-space subjected to combined compression and shear impact loading is established. The functionally graded materials (FGMs) based on the elastic–plastic model (the Tamura–Tomota–Ozowa model) are assumed to be continuously graded according to a power-law function of the volume fractions of the constituents. Based on generalized characteristics theory, the characteristic wave speeds were obtained and analyzed. The finite difference method was implemented to discretize the governing equations. Typical numerical examples for FGMs with positive and negative gradients are presented. The numerical examples reveal that the FGMs have the function of managing stress waves. Unlike traditional elastoplastic materials, the wave structures of FGMs will also change depending on such factors as the initial stress state, the amplitude of the loading, and the gradient distribution of the material.
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