NUMERICAL ANALYSIS OF THE DYNAMICS OF THREE-DIMENSIONAL ANISOTROPIC BODIES BASED ON NON-CLASSICAL BOUNDARY INTEGRAL EQUATIONS

The application of non-classical approach the boundary integral equation method in combination with Laplace transform time to anisotropic elastic wave modeling is considered. In contrast classical which successfully implemented for solving three-dimensional isotropic problems dynamic theory elasticity, viscoelasticity and poroelasticity, alternative nonclassical formulation equations presented that employs regular Fredholm first kind (integral on a plane wave). construction such based structure fundamental solution. explicit equations. inverse constructed numerically by Durbin method. A numerical solution problem elasticity presented. element scheme built basis kind. solved load acting along normal form Heaviside function cube face weakened cubic cavity. obtained solutions are compared finite solutions. Numerical results prove efficiency using single theory. convergence studied three schemes surface discretization. achieved calculation accuracy not inferior Boundary analysis without cavity carried out.