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ASM Handbook

Fundamentals of Modeling for Metals Processing

Edited by
D.U. Furrer
D.U. Furrer
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S.L. Semiatin
S.L. Semiatin
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ASM International
Volume
22A
ISBN electronic:
978-1-62708-196-2
Publication date:
2009
Book Chapter

Modeling with the Finite-Element Method

Published:
2009
Page range:
34 - 54
Publication history
July 10, 2009

Abstract

Several methods are developed for the numerical solution of partial differential equations, namely, meshed-solution methods such as the finite-element method (FEM), finite-difference method, and boundary-element method; and numerical algorithms consisting of so-called meshed-solution methods. This article introduces the methods of so-called meshed solutions, with an emphasis on the FEM. It presents some basic differential equations that are used to model the responses of structures, components, processes, or systems with emphasis on continuum mechanics. The article provides an outline on the mathematical principles of solving differential equations. It also reviews linear structural problems to illustrate the concept of the FEMs.

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2009. "Modeling with the Finite-Element Method", Fundamentals of Modeling for Metals Processing, D.U. Furrer, S.L. Semiatin

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