Stress-Strain State of Heterogeneous Fluid-Saturated Composites Under Dynamic Impacts

In this paper, the regularities of deformation of heterogeneous fluid-saturated composites under dynamic influences are investigated on the basis of the solution of the dynamic contact problem. The dynamic contact problem about the vibrations of a rigid die on a semi-confined heterogeneous fluid-saturated base, taking into account the friction in the contact region, is considered. A multiphase heterogeneous medium consisting of two imperfectly coupled phases—deformable skeleton and compressible fluid is considered. The Biot-Frenkel continuum mechanics model in terms of displacements is used. The solution of the problem is realized on the basis of ideas of potential theory. Green's function matrices for displacements of skeleton and fluid are constructed. The integral equation of the 1st kind with a differential kernel with respect to the contact stresses is obtained. The discrete analog of the integral equation is obtained using the boundary element method. The influence of the oscillation frequency, the viscosity of the pore-filling fluid and the permeability of the heterogeneous medium on the contact stresses is studied.