LEADER 05603nam 22006853 450 001 9911007194203321 005 20240709090706.0 010 $a9780486135021 010 $a0486135020 010 $a9781621985884 010 $a1621985881 035 $a(CKB)2670000000525555 035 $a(EBL)1894765 035 $a(SSID)ssj0001002719 035 $a(PQKBManifestationID)12492703 035 $a(PQKBTitleCode)TC0001002719 035 $a(PQKBWorkID)11027928 035 $a(PQKB)10220212 035 $a(MiAaPQ)EBC1894765 035 $a(Perlego)110810 035 $a(EXLCZ)992670000000525555 100 $a20141222d2000|||| u|| | 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe finite element method $elinear static and dynamic finite element analysis /$fThomas J.R. Hughes 210 $aMineola, New York $cDover Publications$d2000 215 $a1 online resource (1246 pages) 225 1 $aDover Civil and Mechanical Engineering 300 $aDescription based upon print version of record. 300 $aOriginally published by: Englewood Cliffs, NJ : Prentice Hall, 1987 311 1 $a9780486411811 311 1 $a0486411818 327 $aCover; Title Page; Dedication; Copyright Page; Contents; Preface; A Brief Glossary of Notations; Part One Linear Static Analysis; 1 Fundamental Concepts; A Simple One-Dimensional Boundary-Value Problem; 1.1 Introductory Remarks and Preliminaries; 1.2 Strong, or Classical, Form of the Problem; 1.3 Weak, or Variational, Form of the Problem; 1.4 Eqivalence of Strong and Weak Forms; Natural Boundary Conditions; 1.5 Galerkin's Approximation Method; 1.6 Matrix Equations; Stiffness Matrix K; 1.7 Examples: 1 and 2 Degrees of Freedom; 1.8 Piecewise Linear Finite Element Space; 1.9 Properties of K 327 $a1.10 Mathematical Analysis1.11 Interlude: Gauss Elimination; Hand-calculation Version; 1.12 The Element Point of View; 1.13 Element Stiffness Matrix and Force Vector; 1.14 Assembly of Global Stiffness Matrix and Force Vector; LM Array; 1.15 Explicit Computation of Element Stiffness Matrix and Force Vector; 1.16 Exercise: Bemoulli-Euler Beam Theory and Hermite Cubics; Appendix 1.I An Elementary Discussion of Continuity, Differentiability, and Smoothness; References; 2 Formulation of Two- And Three-Dimensional Boundary-Value Problems; 2.1 Introductory Remarks; 2.2 Preliminaries 327 $a2.3 Classical Linear Heat Conduction: Strong and Weak Forms Equivalence; 2.4 Heat Conduction: Galerkin Formulation; Symmetry and Positive-definiteness of K; 2.5 Heat Conduction: Element Stiffness Matrix and Force Vector; 2.6 Heat Conduction: Data Processing Arrays ID, IEN, and LM; 2.7 Classical Linear Elastostatics: Strong and Weak Forms; Equivalence; 2.8 Elastostatics: Galerkin Formulation, Symmetry, and Positive-definiteness of K; 2.9 Elastostatics: Element Stiffness Matrix and Force Vector; 2.10 Elastostatics: Data Processing Arrays ID, IEN, and LM 327 $a2.11 Summary of Important Equations for Problems Considered in Chapters 1 and 22.12 Axisymmetric Formulations and Additional Exercises; References; 3 Isoparametric Elements and Elementary Programming Concepts; 3.1 Preliminary Concepts; 3.2 Bilinear Quadrilateral Element; 3.3 Isoparametric Elements; 3.4 Linear Triangular Element; An Example of "Degeneration"; 3.5 Trilinear Hexahedral Element; 3.6 Higher-order Elements; Lagrange Polynomials; 3.7 Elements with Variable Numbers of Nodes; 3.8 Numerical Integration; Gaussian Quadrature 327 $a3.9 Derivatives of Shape Functions and Shape Function Subroutines3.10 Element Stiffness Formulation; 3.11 Additional Exercises; Appendix 3.I Triangular and Tetrahedral Elements; Appendix 3.II Methodology for Developing Special Shape Functions with Application to Singularities; References; 4 Mixed and Penalty Methods, Reduced and Selective Integration, and Sundry Variational Crimes; 4.1 "Best Approximation" and Error Estimates: Why the standard FEM usually works and why sometimes it does not; 4.2 Incompressible Elasticity and Stokes Flow; 4.2.1 Prelude to Mixed and Penalty Methods 327 $a4.3 A Mixed Formulation of Compressible Elasticity Capable of Representing the Incompressible Limit 330 $aThis text is geared toward assisting engineering and physical science students in cultivating comprehensive skills in linear static and dynamic finite element methodology. Based on courses taught at Stanford University and the California Institute of Technology, it ranges from fundamental concepts to practical computer implementations. Additional sections touch upon the frontiers of research, making the book of potential interest to more experienced analysts and researchers working in the finite element field.In addition to its examination of numerous standard aspects of the finite element me 410 0$aDover Civil and Mechanical Engineering 606 $aProblemes de valor límit$2lemac 606 $aFinite element method 606 $aBoundary value problems 606 $aElements finits, Mčtode dels$2lemac 615 7$aProblemes de valor límit 615 0$aFinite element method. 615 0$aBoundary value problems. 615 7$aElements finits, Mčtode dels 676 $a620/.001/51535 700 $aHughes$b Thomas J. R.$028961 801 0$bAU-PeEL 801 1$bAU-PeEL 801 2$bAU-PeEL 906 $aBOOK 912 $a9911007194203321 996 $aThe finite element method$94389974 997 $aUNINA