Finite Elements Methods in Mechanics

M. Reza Eslami (Autor)

Buch | Hardcover

XVI, 370 Seiten

2014
Springer International Publishing (Verlag)
978-3-319-08036-9 (ISBN)

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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.

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.

Erscheint lt. Verlag	10.7.2014
Reihe/Serie	Solid Mechanics and Its Applications
Zusatzinfo	XVI, 370 p. 130 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	739 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
	Naturwissenschaften ► Physik / Astronomie
	Technik ► Maschinenbau
Schlagworte	Elasticity and Thermoelasticity • Finite Element • Galerkin Formulation • Heat and Fluid Flow • variational formulation
ISBN-10	3-319-08036-9 / 3319080369
ISBN-13	978-3-319-08036-9 / 9783319080369
Zustand	Neuware