LEADER 00786nam0-2200289---450- 001 990010078880403321 005 20160608094142.0 035 $a001007888 035 $aFED01001007888 035 $a(Aleph)001007888FED01 035 $a001007888 100 $a20160608d1980----km-y0itay50------ba 101 0 $aita 102 $aIT 105 $a--------001yy 200 1 $a<>tasse di concessione comunale$fMario Colacito, Ruggero Frascaroli 205 $aEdizioni delle autonomie 210 $aRoma$cEdizioni delle autonomie$d1980 215 $a212 P.$d25 cm 700 1$aColacito,$bMario 701 1$aFrascaroli,$bRuggero 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990010078880403321 952 $aDT XIV-316$b420$fDEC 959 $aDEC 997 $aUNINA LEADER 01075nam--2200349---450- 001 990003259870203316 005 20090529131306.0 035 $a000325987 035 $aUSA01000325987 035 $a(ALEPH)000325987USA01 035 $a000325987 100 $a20090529d1969----km-y0itay50------ba 101 $aeng 102 $aUS 105 $aa---||||001yy 200 1 $aPerturbation theory of eigenvalue problems$fFranz Rellich$gassisted by J. Berkowitz 210 $aNew York$cGordon and Breach$d1969 215 $aX, 127 p.$cill.$d23 cm 225 2 $aNotes on mathematics and its applications 410 0$12001$12001$aNotes on mathematics and its applications 606 0 $aTeoria spettrale 676 $a515.722 700 1$aRELLICH,$bFranz$057700 702 1$aBERKOWITZ,$bJ. 801 0$aIT$bsalbc$gISBD 912 $a990003259870203316 951 $a515.722 REL$b4116/CBS$c515.722$d00222028 959 $aBK 969 $aSCI 979 $aRSIAV7$b90$c20090529$lUSA01$h1313 996 $aPerturbation theory of eigenvalue problems$9384804 997 $aUNISA LEADER 05469oam 2200541 450 001 9910821662803321 005 20240131142153.0 010 $a1-85617-630-4 010 $a0-08-095135-X 035 $a(OCoLC)857713191 035 $a(MiFhGG)GVRL8DNE 035 $a(EXLCZ)992550000001114724 100 $a20140429d2013 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 14$aThe finite element method $eits basis and fundamentals /$fO.C. Zienkiewicz, CBE, FRS, Previously UNESCO Professor of Numerical Methods in Engineering, International Centre for Numerical Methods in Engineering, Barcelona, Previously Director of the Institute for Numerical Methods in Engineering, University of Wales, Swansea, R.L. Taylor, Professor in the Graduate School, Department of Civil and Environmental Engineering, University of California at Berkeley, Berkeley, California, J.Z. Zhu, Senior Scientist, ESI US R & D, 9891 Broken Land Parkway, Suite 200, Columbia, Maryland 205 $aSeventh edition. 210 1$aOxford :$cButterworth-Heinemann,$d2013. 215 $a1 online resource (xxxviii, 714 pages) $cillustrations (some color) 225 0 $aGale eBooks 300 $aDescription based upon print version of record. 311 $a1-85617-633-9 311 $a1-299-83345-4 320 $aIncludes bibliographical references and indexes. 327 $aHalf Title; Author Biography; Title Page; Copyright; Dedication; Contents; List of Figures; List of Tables; Preface; 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; References; 2 Problems in Linear Elasticity and Fields; 2.1 Introduction; 2.2 Elasticity equations 327 $a2.2.1 Displacement function2.2.2 Strain matrix; 2.2.2.1 Strain-displacement matrix; 2.2.2.2 Volume change and deviatoric strain; 2.2.3 Stress matrix; 2.2.3.1 Mean stress and deviatoric stress; 2.2.4 Equilibrium equations; 2.2.4.1 Plane stress and plane strain problems; 2.2.4.2 Axisymmetric problems; 2.2.5 Boundary conditions; 2.2.5.1 Boundary conditions on inclined coordinates; 2.2.5.2 Normal pressure loading; 2.2.5.3 Symmetry and repeatability; 2.2.6 Initial conditions; 2.2.7 Transformation of stress and strain; 2.2.7.1 Energy; 2.2.8 Stress-strain relations: Elasticity matrix 327 $a2.2.8.1 Isotropic materials2.2.8.2 Deviatoric and pressure-volume relations; 2.2.8.3 Anisotropic materials; 2.2.8.4 Initial strain-thermal effects; 2.3 General quasi-harmonic equation; 2.3.1 Governing equations: Flux and continuity; 2.3.2 Boundary conditions; 2.3.3 Initial condition; 2.3.4 Constitutive behavior; 2.3.5 Irreducible form in ?; 2.3.6 Anisotropic and isotropic forms for k: Transformations; 2.3.7 Two-dimensional problems; 2.4 Concluding remarks; 2.5 Problems; References; 3 Weak Forms and Finite Element Approximation: 1-D Problems; 3.1 Weak forms 327 $a3.2 One-dimensional form of elasticity3.2.1 Weak form of equilibrium equation; 3.2.1.1 Adjoint forms; 3.3 Approximation to integral and weak forms: The weighted residual (Galerkin) method; 3.3.1 Galerkin solution of elasticity equation; 3.4 Finite element solution; 3.4.1 Requirements for finite element approximations; 3.5 Isoparametric form; 3.5.1 Higher order elements: Lagrange interpolation; 3.5.1.1 Linear shape functions; 3.5.1.2 Quadratic shape functions; 3.5.2 Integrals on the parent element: Numerical integration; 3.6 Hierarchical interpolation; 3.7 Axisymmetric one-dimensional problem 327 $a3.7.1 Weak form for axisymmetric problem3.7.2 A variational notation; 3.7.3 Irreducible form for axisymmetric problem; 3.7.4 Finite element solution; 3.8 Transient problems; 3.8.1 Discrete time methods; 3.8.1.1 Stability and dissipation; 3.8.2 Semi-discretization of the problem; 3.8.2.1 Stability of modes; 3.9 Weak form for one-dimensional quasi-harmonic equation; 3.9.1 Weak form; 3.9.2 Finite element solution of quasi-harmonic problem; 3.9.3 Transient problems; 3.9.3.1 Stability; 3.10 Concluding remarks; 3.11 Problems; References 327 $a4 Variational Forms and Finite Element Approximation: 1-D Problems 330 $aThe Finite Element Method: Its Basis and Fundamentals offers a complete introduction to the basis of the finite element method, covering fundamental theory and worked examples in the detail required for readers to apply the knowledge to their own engineering problems and understand more advanced applications. This edition sees a significant rearrangement of the book's content to enable clearer development of the finite element method, with major new chapters and sections added to cover: Weak forms Variational forms Multi-dimensional field prob 606 $aFinite element method 606 $aFluid dynamics 615 0$aFinite element method. 615 0$aFluid dynamics. 676 $a620/.00151825 700 $aZienkiewicz$b O. C$0440603 702 $aTaylor$b Robert L$g(Robert Leroy),$f1934- 702 $aZhu$b J. Z. 801 0$bMiFhGG 801 1$bMiFhGG 906 $aBOOK 912 $a9910821662803321 996 $aThe finite element method$93939190 997 $aUNINA