Finite Elements Methods in Mechanics

This book covers all basic areas of mechanical engineering, such as fluid mechanics, heat conduction, beams, and elasticity with detailed derivations for the mass, stiffness, and force matrices. It is especially designed to give physical feeling to the reader for finite element approximation by the...

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Bibliographic Details
Main Author: Eslami, M. Reza
Format: eBook
Language:English
Published: Cham Springer International Publishing 2014, 2014
Edition:1st ed. 2014
Series:Solid Mechanics and Its Applications
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Finite Elements Methods in Mechanics  |h Elektronische Ressource  |c by M. Reza Eslami 
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260 |a Cham  |b Springer International Publishing  |c 2014, 2014 
300 |a XVI, 370 p. 130 illus  |b online resource 
505 0 |a Introduction and History -- Mathematical Foundations -- Finite Element of Elastic Membrane -- Elements and Local Coordinates -- Field Problems -- Conduction Heat Transfer in Solids -- Computer Methods -- Finite Elements of Beams -- Elasticity, Galerkin Formulations -- Elasticity, Variational Formulations -- Torsion of Prismatic Bars -- Thermoelasticity -- Incompressible Viscous Fluid Flow -- One-Dimensional Higher Order Elements -- Two-Dimensional Higher Order Elements -- Coupled Thermoelasticity -- Computer Programs 
653 |a Mechanics, Applied 
653 |a Mathematics / Data processing 
653 |a Engineering Mechanics 
653 |a Computational Science and Engineering 
653 |a Mathematical physics 
653 |a Theoretical, Mathematical and Computational Physics 
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490 0 |a Solid Mechanics and Its Applications 
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520 |a This book covers all basic areas of mechanical engineering, such as fluid mechanics, heat conduction, beams, and elasticity with detailed derivations for the mass, stiffness, and force matrices. It is especially designed to give physical feeling to the reader for finite element approximation by the introduction of finite elements to the elevation of elastic membrane. A detailed treatment of computer methods with numerical examples are provided. In the fluid mechanics chapter, the conventional and vorticity transport formulations for viscous incompressible fluid flow with discussion on the method of solution are presented. The variational and Galerkin formulations of the heat conduction, beams, and elasticity problems are also discussed in detail. Three computer codes are provided to solve the elastic membrane problem. One of them solves the Poisson’s equation. The second computer program handles the two dimensional elasticity problems, and the third one presents the three dimensional transient heat conduction problems. The programs are written in C++ environment