Method of orthogonal expansions on the domain boundary in three-dimensional problems of the linear theory of elasticity: PMM vol. 43, no. 4, 1979, pp. 688–697

Abstract

There is proposed a new method of solving three-dimensional boundary value problems of the linear theory of elasticity, related to the Castigliano principle. Construction of the solution reduces to determination of the projection of an element satisfying the equation of elasticity theory in the domain, and the boundary condition on a free part of the boundary, in the subspace of boundary values of solutions of the boundary value problem of the theory of elasticity with inhomogeneous natural boundary conditions.