FEM: Finite Element Method
Definition:Finite Element Method
Explanation:FEM is a computer based numerical method for solving engineering problems in bodies of user defined geometry. It reduces a problem in a continuous field variable to a finite number of points (nodes) which are interconnected via interpolation functions defined on finite volumes (elements). Flexible choice of the interconnectivity (i.e. elements) allows user to optimize the problem complexity as required [1].

The finite element method consists of the following steps: (i) Pre-processing, (ii) developing elemental equations, (iii) assembling equations, (iv) applying boundary conditions, (v) solving the system of equations, and (v) post-processing [2].
Picture /
Figure /

Simulation of high temperature compression test using FEM. Depending on the constitutive law, it is possible to obtain spatially resolved dynamic recrystallization (DRX) fraction and grain size information along with stresses and strains.
SFB-Link:Twinning induced plasticity (→TWIP) steels owe their extraordinary mechanical properties to their strain hardening behavior, and these properties become more and more evident at large strains. For large strain applications, such as metal forming processes or crash, FEM is required to determine the complex constitutive response of the material
References:[1] D.L. Dewhirst, “Finite Element Analysis”, ASM Metals Handbook V20, pp.409-423, 1997.
[2] P.M. Dixit, “Modeling of Metal Forming and Machining Processes”, p.274, 2008.