LEADER 05586nam 2200697Ia 450 001 9910877758303321 005 20200520144314.0 010 $a1-282-25947-4 010 $a9786612259470 010 $a0-470-74908-3 010 $a0-470-74909-1 035 $a(CKB)1000000000794222 035 $a(EBL)454286 035 $a(OCoLC)441875062 035 $a(SSID)ssj0000300585 035 $a(PQKBManifestationID)11253358 035 $a(PQKBTitleCode)TC0000300585 035 $a(PQKBWorkID)10251814 035 $a(PQKB)10557101 035 $a(MiAaPQ)EBC454286 035 $a(PPN)221408487 035 $a(EXLCZ)991000000000794222 100 $a20090515d2009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aIsogeometric analysis $etoward integration of CAD and FEA /$fJ. Austin Cottrell, Thomas J.R. Hughes, Yuri Bazilevs 210 $aChichester, West Sussex, U.K. ;$aHoboken, NJ $cJ. Wiley$d2009 215 $a1 online resource (355 p.) 300 $aDescription based upon print version of record. 311 $a0-470-74873-7 320 $aIncludes bibliographical references and index. 327 $aISOGEOMETRICANALYSIS; Contents; Preface; 1 From CAD and FEA to Isogeometric Analysis: An Historical Perspective; 1.1 Introduction; 1.1.1 The need for isogeometric analysis; 1.1.2 Computational geometry; 1.2 The evolution of FEA basis functions; 1.3 The evolution of CAD representations; 1.4 Things you need to get used to in order to understand NURBS-based isogeometric analysis; Notes; 2 NURBS as a Pre-analysis Tool: Geometric Design and Mesh Generation; 2.1 B-splines; 2.1.1 Knot vectors; 2.1.2 Basis functions; 2.1.3 B-spline geometries; 2.1.4 Refinement; 2.2 Non-Uniform Rational B-Splines 327 $a2.2.1 The geometric point of view2.2.2 The algebraic point of view; 2.3 Multiple patches; 2.4 Generating a NURBS mesh: a tutorial; 2.4.1 Preliminary considerations; 2.4.2 Selection of polynomial orders; 2.4.3 Selection of knot vectors; 2.4.4 Selection of control points; 2.5 Notation; Appendix 2.A: Data for the bent pipe; Notes; 3 NURBS as a Basis for Analysis: Linear Problems; 3.1 The isoparametric concept; 3.1.1 Defining functions on the domain; 3.2 Boundary value problems (BVPs); 3.3 Numerical methods; 3.3.1 Galerkin; 3.3.2 Collocation; 3.3.3 Least-squares; 3.3.4 Meshless methods 327 $a3.4 Boundary conditions3.4.1 Dirichlet boundary conditions; 3.4.2 Neumann boundary conditions; 3.4.3 Robin boundary conditions; 3.5 Multiple patches revisited; 3.5.1 Local refinement; 3.5.2 Arbitrary topologies; 3.6 Comparing isogeometric analysis with classical finite element analysis; 3.6.1 Code architecture; 3.6.2 Similarities and differences; Appendix 3.A: Shape function routine; Appendix 3.B: Error estimates; Notes; 4 Linear Elasticity; 4.1 Formulating the equations of elastostatics; 4.1.1 Strong form; 4.1.2 Weak form; 4.1.3 Galerkin's method; 4.1.4 Assembly 327 $a4.2 Infinite plate with circular hole under constant in-plane tension4.3 Thin-walled structures modeled as solids; 4.3.1 Thin cylindrical shell with fixed ends subjected to constant internal pressure; 4.3.2 The shell obstacle course; 4.3.3 Hyperboloidal shell; 4.3.4 Hemispherical shell with a stiffener; Appendix 4.A: Geometrical data for the hemispherical shell; Appendix 4.B: Geometrical data for a cylindrical pipe; Appendix 4.C: Element assembly routine; Notes; 5 Vibrations andWave Propagation; 5.1 Longitudinal vibrations of an elastic rod; 5.1.1 Formulating the problem 327 $a5.1.2 Results: NURBS vs. FEA5.1.3 Analytically computing the discrete spectrum; 5.1.4 Lumped mass approaches; 5.2 Rotation-free analysis of the transverse vibrations of a Bernoulli-Euler beam; 5.3 Transverse vibrations of an elastic membrane; 5.3.1 Linear and nonlinear parameterizations revisited; 5.3.2 Formulation and results; 5.4 Rotation-free analysis of the transverse vibrations of a Poisson-Kirchhoff plate; 5.5 Vibrations of a clamped thin circular plate using three-dimensional solid elements ?B; 5.5.1 Formulating the problem; 5.5.2 Results; 5.6 The NASA aluminum testbed cylinder 327 $a5.7 Wave propagation 330 $a"The authors are the originators of isogeometric analysis, are excellent scientists and good educators. It is very original. There is no other book on this topic."-Rene? de Borst, Eindhoven University of Technology Written by leading experts in the field and featuring fully integrated colour throughout, Isogeometric Analysis provides a groundbreaking solution for the integration of CAD and FEA technologies. Tom Hughes and his researchers, Austin Cottrell and Yuri Bazilevs, present their pioneering isogeometric approach, which aims to integrate the two techniques of CAD and FEA usin 606 $aFinite element method$xData processing 606 $aSpline theory$xData processing 606 $aIsogeometric analysis$xData processing 606 $aComputer-aided design 615 0$aFinite element method$xData processing. 615 0$aSpline theory$xData processing. 615 0$aIsogeometric analysis$xData processing. 615 0$aComputer-aided design. 676 $a620.001 676 $a620.00151825 700 $aCottrell$b J. Austin$0478300 701 $aHughes$b Thomas J. R$028961 701 $aBazilevs$b Yuri$0610679 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910877758303321 996 $aIsogeometric analysis$91115481 997 $aUNINA