Solution of a mixed nonaxisymmetric problem of the theory of elasticity for anisotropic bodies of revolution

The paper developed a technique for solving mixed nonaxisymmetric problems of the theory elasticity bounded bodies revolution made transversely isotropic material under action surface forces specified according to cyclic law. involves development energy method boundary states, which is based on concepts spaces internal and conjugated by isomorphism, makes it possible establish one-to-one correspondence between elements these spaces. state includes components tensor stresses, deformations, displacement vector. efforts displacements at body. isomorphism proved, allows finding be reduced study isomorphic it. basis formed general solution value problem elastostatics body revolution. Orthogonalization carried out, where elastic deformation used as scalar products in space states; work external used. Finally, desired an infinite system algebraic equations Fourier coefficients. with conditions circular plan cylinder coarse dark gray siltstone anisotropy axis coinciding geometric symmetry presented. analytical characteristics stress-strain have polynomial form. Explicit indirect signs convergence solutions graphical visualization results are