MODELLING THE STRESS-STRAIN STATE OF ANISOTROPIC BODIES USING THE METHOD OF BOUNDARY STATES

The paper presents the results of solving the main problems of mechanics of deformable solids using the method of boundary states. An ideology of modelling the bases of spaces of internal and boundary states which form the foundation of the method is developed. Each basic element represents a particular solution to the boundary value problem under consideration while the basis of states is a finite set of particular solutions. Orthogonalization of the bases is carried out and the solution is a Fourier series. Specific problems for anisotropic bodies are solved, in particular: plane problems for a simply and doubly connected region, the Saint-Venant problem for an anisotropic cylinder, axisymmetric problems for bodies of revolution.