Solutions of Three-Dimensional Problems of the Theory of Elasticity for Orthotropic Solids

We develop a procedure for the integration of balance equations in terms displacements orthotropic bodies with certain restrictions imposed on elastic moduli material. The components vector are expressed two functions, one which satisfies equation second order, while fourth-order equation. An algorithm is proposed solving boundary-value problems an rectangular prism. based separation principal and perturbed stress-strain states, use complete systems eigenfunctions that not orthogonal, minimization generalized quadratic form constructed to satisfy boundary conditions end face stresses found long prism subjected action local normal force load upon face.