LEADER 04139nam 22006975 450 001 9910299736803321 005 20220404223241.0 010 $a3-319-08037-7 024 7 $a10.1007/978-3-319-08037-6 035 $a(CKB)3710000000143874 035 $a(EBL)1783101 035 $a(SSID)ssj0001274405 035 $a(PQKBManifestationID)11993882 035 $a(PQKBTitleCode)TC0001274405 035 $a(PQKBWorkID)11325246 035 $a(PQKB)11078765 035 $a(MiAaPQ)EBC1783101 035 $a(DE-He213)978-3-319-08037-6 035 $a(PPN)179766740 035 $a(EXLCZ)993710000000143874 100 $a20140624d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFinite elements methods in mechanics /$fby M. Reza Eslami 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (378 p.) 225 1 $aSolid Mechanics and Its Applications,$x0925-0042 ;$v216 300 $aDescription based upon print version of record. 311 $a1-322-13715-3 311 $a3-319-08036-9 320 $aIncludes bibliographical references at the end of each chapters. 327 $aIntroduction 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. 330 $aThis book covers all basic areas of mechanical engineering, such as fluid mechanics, heat conduction, beams, and elasticity with detailed derivations for the mass, stiffness, and force matrices. It is especially designed to give physical feeling to the reader for finite element approximation by the introduction of finite elements to the elevation of elastic membrane. A detailed treatment of computer methods with numerical examples are provided. In the fluid mechanics chapter, the conventional and vorticity transport formulations for viscous incompressible fluid flow with discussion on the method of solution are presented. The variational and Galerkin formulations of the heat conduction, beams, and elasticity problems are also discussed in detail. Three computer codes are provided to solve the elastic membrane problem. One of them solves the Poisson?s equation. The second computer program handles the two dimensional elasticity problems, and the third one presents the three dimensional transient heat conduction problems. The programs are written in C++ environment. 410 0$aSolid Mechanics and Its Applications,$x0925-0042 ;$v216 606 $aMechanics 606 $aMechanics, Applied 606 $aComputer science$xMathematics 606 $aMathematical physics 606 $aTheoretical and Applied Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15001 606 $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026 606 $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005 615 0$aMechanics. 615 0$aMechanics, Applied. 615 0$aComputer science$xMathematics. 615 0$aMathematical physics. 615 14$aTheoretical and Applied Mechanics. 615 24$aComputational Science and Engineering. 615 24$aTheoretical, Mathematical and Computational Physics. 676 $a620.00151535 700 $aEslami$b M. Reza$4aut$4http://id.loc.gov/vocabulary/relators/aut$0957741 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299736803321 996 $aFinite Elements Methods in Mechanics$92169640 997 $aUNINA