Areas of application of the finite element method: Comput and Struct. Vol 4 No 1 (January 1974) pp 17–40

Abstract

Abstract The development of the finite element method, from its initial formulation as a generalized procedure for the analysis-of airplane structures to a completely general tool for the solution of problems of continuum mechanics, is outlined briefly. Its great advantage in providing the basis for development of general purpose structural analysis computer programs is emphasized, and then the generality of the procedure is demonstrated by presentation of a series of example analyses. The examples have been taken primarily from the practical engineering world and include problems associated with concrete and earth dams, with shell structures (including cooling towers, tubular joints for offshore structures, and nuclear reactors), as well as cases involving three-dimensional solids. The treatment of dynamic as well as static loadings is discussed, and the analysis of non-linear geometric and material behavior is mentioned. Also, reference is made to the application of the finite element method to other types of field problems such as heat conduction and seepage through porous media. The paper is purely descriptive and includes no mathematical derivations or formulae.