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Fundamentals of Finite Element Analysis: Linear Finite Element Analysis

Fundamentals of Finite Element Analysis: Linear Finite Element Analysis

Paperback

Technology & Engineering

ISBN10: 1119260086
ISBN13: 9781119260080
Publisher: Wiley
Published: Feb 12 2018
Pages: 736
Weight: 2.91
Height: 1.60 Width: 6.70 Depth: 9.50
Language: English

An introductory textbook covering the fundamentals of linear finite element analysis (FEA)

This book introduces readers to the theoretical foundations and the implementation of the finite element method (FEM). It focuses on the use of the method for linear problems. A general procedure is presented for the finite element analysis (FEA) of a physical problem, where the goal is to specify the values of a field function. First, the strong form of the problem (governing differential equations and boundary conditions) is formulated. Subsequently, a weak form of the governing equations is established. Finally, a finite element approximation is introduced, transforming the weak form into a system of equations where the only unknowns are nodal values of the field function. The procedure is applied to one-dimensional elasticity and heat conduction, multi-dimensional steady-state scalar field problems (heat conduction, chemical diffusion, flow in porous media), multi-dimensional elasticity and structural mechanics (beams/shells), as well as time-dependent (dynamic) scalar field problems, elastodynamics and structural dynamics. Important concepts for finite element computations, such as isoparametric elements for multi-dimensional analysis and Gaussian quadrature for numerical evaluation of integrals, are presented and explained. Practical aspects of FEA and advanced topics, such as reduced integration procedures, mixed finite elements and verification and validation of the FEM are also discussed.

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