Maksym B. Mathematical modelling of stress-strain state of multicomponent bodies with concentrated masses.

Mathematical models of dynamic deformation of multicomponent bodies with cracks and inclusions of concentrated mass, are constructed as new classes of initial boundary-value problems for hyperbolic systems of equations with conjugation conditions. Corresponding generalized problems in 2D and 3D definition which specified in the class of discontinuous functions are obtained. Computation algorithms of higher accuracy order to find approximate generalized solutions are created. Estimates are obtained for errors of approximate generalized solutions derived by finite-element method and difference Crank-Nicholson scheme. On the basis of created algorithms software are designed, computation experiments are performed, practical problems are solved.