ABSTRACT

The finite element method, 1 the most powerful numerical technique available today for the analysis of complex structural and mechanical systems, can be used to obtain numerical solutions to a wide range of problems. The method can be used to analyze both linear and nonlinear systems. Nonlinear analysis can include material yielding, creep, or cracking; aeroelastic response; buckling and postbuckling response; and contact and friction. It can be used for both static and dynamic analysis. In its most general form, the finite element method is not restricted to structural (or mechanical) systems. It has been applied to problems in fluid flow, heat transfer, electric potential, and multiscale problems. Its versatility is a major reason for the popularity of the method.