The Finite Element Method

  • J. ChakrabartyEmail author
Part of the Mechanical Engineering Series book series (MES)


In the numerical solution of engineering problems, it is often convenient to assume the physical domain to consist of an assemblage of a finite number of subdomains, called finite elements, which are connected with one another along their interfaces. The distribution of a governing physical parameter within each element is approximated by a suitable continuous function, which is uniquely defined in terms of its values at a specified number of nodal points that are usually located along the boundary of the element. The solution to the original boundary value problem is often reduced to that of a variational problem involving the nodal point values of the unknown parameter. In this chapter, we shall be concerned with a rigid/plastic formulation of the finite element method, a complete elastic/plastic formulation of the problem being available elsewhere (Chakrabarty, 2006).


Sheet Metal Shape Function Nodal Point Strain Increment Finite Element Formulation 
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Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringFlorida State UniversityTallahasseeUSA

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