Influence of Weak Shock Wave on the Dynamic Stress State of Foam Materials

This paper proposes the technique for the analysis of weak shock wave influence on the dynamic stress state of foam materials with negative and positive Poisson’s ratio. The investigation of the dynamic behavior of foam materials under the action of weak shock waves is performed in the framework of couple stress elasticity, where one can account for the influence of shear rotation deformation in structurally inhomogeneous media. For the solution of the non-stationary problem, Fourier transforms are used. The calculation of transforms of dynamic stresses in the foam medium is performed by using the boundary integral equation method and the theory of complex variable functions in the framework of couple stress elasticity. The numerical implementation of the developed algorithm is based on the method of mechanical quadrature and collocation technique. For calculation of originals of dynamic stresses discrete, Fourier transform is used. The distribution of dynamic hoop stresses in a positive and negative Poisson’s ratio foam medium with tunnel cavities under the action of a weak shock wave is investigated. The algorithm is effective in the analysis of the dynamic behavior of the foam media with tunnel defects of various cross-sections.