MATHEMATICAL MODELLING OF DYNAMIC PROCESSES IN A LAYERED INCOMPRESSIBLE HALF-SPACE WITH INITIAL STRESSES UNDER THE ACTION OF A MOVING LOAD

This work is devoted to the study of influence protective coating, initial stresses, mechanical characteristics materials, movement parameters surface load on stress-deformed state elastic base. The relevance research results related possibility their use in creation qualitatively new structures and building structures. Two models a layered incompressible half-space are considered compared: 1) an plate half-space; 2) top layer (protective coating) modelled by concentrated masses. force moves along free at constant speed certain angle half-space. solution problem was obtained using method integral Fourier transformations. Analytical given general form for materials with arbitrary potential, cases unequal equal roots characteristic equations, various conditions combination elements medium any load. material Bartenev-Khazanovich potential numerical analysis. calculations were carried out within framework theory finite deformations. impact moving load, stresses base main its stress-strain studied.