04139nam 22006975 450 991029973680332120220404223241.03-319-08037-710.1007/978-3-319-08037-6(CKB)3710000000143874(EBL)1783101(SSID)ssj0001274405(PQKBManifestationID)11993882(PQKBTitleCode)TC0001274405(PQKBWorkID)11325246(PQKB)11078765(MiAaPQ)EBC1783101(DE-He213)978-3-319-08037-6(PPN)179766740(EXLCZ)99371000000014387420140624d2014 u| 0engur|n|---|||||txtccrFinite elements methods in mechanics /by M. Reza Eslami1st ed. 2014.Cham :Springer International Publishing :Imprint: Springer,2014.1 online resource (378 p.)Solid Mechanics and Its Applications,0925-0042 ;216Description based upon print version of record.1-322-13715-3 3-319-08036-9 Includes bibliographical references at the end of each chapters.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.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.Solid Mechanics and Its Applications,0925-0042 ;216MechanicsMechanics, AppliedComputer scienceMathematicsMathematical physicsTheoretical and Applied Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15001Computational Science and Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/M14026Theoretical, Mathematical and Computational Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19005Mechanics.Mechanics, Applied.Computer scienceMathematics.Mathematical physics.Theoretical and Applied Mechanics.Computational Science and Engineering.Theoretical, Mathematical and Computational Physics.620.00151535Eslami M. Rezaauthttp://id.loc.gov/vocabulary/relators/aut957741MiAaPQMiAaPQMiAaPQBOOK9910299736803321Finite Elements Methods in Mechanics2169640UNINA