A new functional a posteriori error estimate for problems of bending of Timoshenko beams

Abstract

In this paper a new functional a posteriori error estimate is obtained for problems of bending of curvilinear Timoshenko beams. For sake of simplicity clamped beams under the action of traverse and axial forces and bending moment are considered. The derived estimate is reliable, is applicable to any conforming approximation and can be used both for global accuracy control and for local error indication for subsequent mesh adaptation. Its theoretical properties are confirmed by results of numerical experiments.