Author(s)

A.N. Galybin

Abstract

Classical boundary value problem (B VP) of the theory of elasticity requires one of the following surface conditions to be known on the whole boundary of a domain: (/) stress vector; (//) displacement vector; or (///) combinations of (/) and (ii). In all these cases the BVP is well-posed and hence possesses a unique solution. However one can consider another type of the BVP: overdetermined on a part of the boundary and underdetermined on the rest of it. This BVP originates from the problem of the stress state determination inside an elastic body by measuring the displacements over a part of the boundary The other part of the boundary is loaded by unknown stresses and direct measurements on it are not available (it can be an internal boundary as well). It is shown ho

Keywords