In the final thesis, we consider the case where the deformation states of a three-layer composite beam depend on the material and geometrical properties and on the residual stresses in the individual layers of the beam. We have derived equations that govern the position of the neutral axis and the magnitude of the radius of curvature along the entire beam. Based on the equations obtained, we wrote a computer code that gives the shape of the deformed beam according to the selected properties and the prescribed residual stresses. In a special case, when the material, geometric and residual stresses are constant throughout the beam, a shape corresponding to a circular arc is obtained. The numerically obtained shapes were compared with those obtained experimentally. We have also solved the inverse problem using image analysis of the deformed beam with known material and geometric properties and determined the residual stresses in the individual layers. We have shown that the derived equations adequately describe the actual deformation of the beam.
|
