LEADER 05852nam 2200709Ia 450 001 9910457665903321 005 20191030193358.0 010 $a1-281-01652-7 010 $a9786611016524 010 $a0-08-047277-X 035 $a(CKB)1000000000350334 035 $a(EBL)288930 035 $a(OCoLC)190810937 035 $a(SSID)ssj0000071936 035 $a(PQKBManifestationID)11111762 035 $a(PQKBTitleCode)TC0000071936 035 $a(PQKBWorkID)10090275 035 $a(PQKB)10660536 035 $a(MiAaPQ)EBC288930 035 $a(Au-PeEL)EBL288930 035 $a(CaPaEBR)ebr10169866 035 $a(CaONFJC)MIL101652 035 $a(EXLCZ)991000000000350334 100 $a20050610d2005 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe finite element method$b[electronic resource] $eits basis and fundamentals /$fO.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu 205 $a6th ed. 210 $aAmsterdam ;$aLondon $cElsevier Butterworth-Heinemann$d2005 215 $a1 online resource (753 p.) 300 $aPrevious ed.: 2000. 300 $a"In the present edition we have decided not to pursue the course of having three contiguous volumes but rather we treat the whole work as an assembly of three separate works, each one capable of being used without the others ... The two further volumes form again separate books ... The first of these is entitled The Finite Element Method in Solid and Structural Mechanics and the second is a text entitled The Finite Element Method in Fluid Dynamics."--Pref. 311 $a1-4933-0288-4 311 $a0-7506-6320-0 320 $aIncludes bibliographical references and indexes. 327 $aFront Cover; The Finite Element Method: Its Basis and Fundamentals; Copyright Page; Contents; Preface; Chapter 1. The standard discrete system and origins of the finite element method; 1.1 Introduction; 1.2 The structural element and the structural system; 1.3 Assembly and analysis of a structure; 1.4 The boundary conditions; 1.5 Electrical and fluid networks; 1.6 The general pattern; 1.7 The standard discrete system; 1.8 Transformation of coordinates; 1.9 Problems; Chapter 2. A direct physical approach to problems in elasticity: plane stress; 2.1 Introduction 327 $a2.2 Direct formulation of finite element characteristics 2.3 Generalization to the whole region- internal nodal force concept abandoned; 2.4 Displacement approach as a minimization of total potential energy; 2.5 Convergence criteria; 2.6 Discretization error and convergence rate; 2.7 Displacement functions with discontinuity between elements - non-conforming elements and the patch test; 2.8 Finite element solution process; 2.9 Numerical examples; 2.10 Concluding remarks; 2.11 Problems 327 $aChapter 3. Generalization of the finite element concepts. Galerkin-weighted residual and variational approaches 3.1 Introduction; 3.2 Integral or 'weak' statements equivalent to the differential equations; 3.3 Approximation to integral formulations: the weighted residual-Galerkin method; 3.4 Virtual work as the 'weak form' of equilibrium equations for analysis of solids or fluids; 3.5 Partial discretization; 3.6 Convergence; 3.7 What are 'variational principles'?; 3.8 'Natural' variational principles and their relation to governing differential equations 327 $a3.9 Establishment of natural variational principles for linear, self-adjoint, differential equations 3.10 Maximum, minimum, or a saddle point?; 3.11 Constrained variational principles. Lagrange multipliers; 3.12 Constrained variational principles. Penalty function and perturbed lagrangian methods; 3.13 Least squares approximations; 3.14 Concluding remarks - finite difference and boundary methods; 3.15 Problems; Chapter 4. 'Standard' and 'hierarchical' element shape functions: some general families of C0 continuity; 4.1 Introduction; 4.2 Standard and hierarchical concepts 327 $a4.3 Rectangular elements- some preliminary considerations 4.4 Completeness of polynomials; 4.5 Rectangular elements- Lagrange family; 4.6 Rectangular elements- 'serendipity' family; 4.7 Triangular element family; 4.8 Line elements; 4.9 Rectangular prisms - Lagrange family; 4.10 Rectangular prisms - 'serendipity' family; 4.11 Tetrahedral elements; 4.12 Other simple three-dimensional elements; 4.13 Hierarchic polynomials in one dimension; 4.14 Two- and three-dimensional, hierarchical elements of the 'rectangle' or 'brick' type; 4.15 Triangle and tetrahedron family 327 $a4.16 Improvement of conditioning with hierarchical forms 330 $aThe Sixth Edition of this influential best-selling book delivers the most up-to-date and comprehensive text and reference yet on the basis of the finite element method (FEM) for all engineers and mathematicians. Since the appearance of the first edition 38 years ago, The Finite Element Method provides arguably the most authoritative introductory text to the method, covering the latest developments and approaches in this dynamic subject, and is amply supplemented by exercises, worked solutions and computer algorithms.The classic FEM text, written by the subject's leading authors 606 $aFinite element method 606 $aEngineering mathematics 608 $aElectronic books. 615 0$aFinite element method. 615 0$aEngineering mathematics. 676 $a620.00151825 700 $aZienkiewicz$b O. C$0440603 701 $aTaylor$b Robert L$g(Robert Leroy),$f1934-$0447817 701 $aZhu$b J. Z$0582437 701 $aZienkiewicz$b O. C$0440603 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910457665903321 996 $aThe finite element method$92447909 997 $aUNINA