High-order model of the stress-strain state of composite bars and its implementation by computer algebra

The bending analysis of a piecewise homogeneous composite bar which takes into account the out-of-plane deformation of the cross sections allows investigation of the features of a stress-strain state (SSS) in zones of boundary effects. The implementation of this model is quite complicated with regard to its mathematical formulation. It requires an effective method to program various computations. In the present study the mathematical formulation of the model is given in the terms of the theory of generalized functions. This approach creates an effective software employing computer algebra, which in turn expands the area of application of the developed methods. The numerical results are given involving the solutions of homogeneous and piece-homogeneous bars.