Basic mathematical formulation of the Finite Element Method. Direct Stiffness Method used in structural mechanics. Evaluation of stiffness matrices for the basic elements using variational principles. Element formulation (bar and beam elements, CST, LST, quadrilateral, tetrahedral and brick elements). Natural coordinates, natural shape functions and isoparametric representation. Numerical integration. Introduction to dynamics. FEM programming.
Objectives:
The theory of Finite Element Method applied to structural mechanics and dynamics is explained from engineering rather than from a purely mathematical point of view. The basic theory is explained together with the standard procedures taken in developing FE computer code using higher level programming language (Matlab).