1.

Record Nr.

UNINA9910299736803321

Autore

Eslami M. Reza

Titolo

Finite elements methods in mechanics / / by M. Reza Eslami

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014

ISBN

3-319-08037-7

Edizione

[1st ed. 2014.]

Descrizione fisica

1 online resource (378 p.)

Collana

Solid Mechanics and Its Applications, , 0925-0042 ; ; 216

Disciplina

620.00151535

Soggetti

Mechanics

Mechanics, Applied

Computer science - Mathematics

Mathematical physics

Theoretical and Applied Mechanics

Computational Science and Engineering

Theoretical, Mathematical and Computational Physics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references at the end of each chapters.

Nota di contenuto

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.

Sommario/riassunto

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.