LEADER 04461nam 2200601 a 450 001 9910877819303321 005 20200520144314.0 010 $a1-283-57411-X 010 $a9786613886569 010 $a1-118-36989-0 010 $a1-118-36992-0 010 $a1-118-36991-2 010 $a1-118-37992-6 035 $a(CKB)2560000000090077 035 $a(EBL)990959 035 $a(OCoLC)821866018 035 $a(SSID)ssj0000704953 035 $a(PQKBManifestationID)11419622 035 $a(PQKBTitleCode)TC0000704953 035 $a(PQKBWorkID)10619554 035 $a(PQKB)10718463 035 $a(MiAaPQ)EBC990959 035 $a(PPN)248871064 035 $a(EXLCZ)992560000000090077 100 $a20120427d2012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFinite elements $ecomputational engineering sciences /$fA.J. Baker 210 $aHoboken, N.J. $cWiley$d2012 215 $a1 online resource (289 p.) 300 $aDescription based upon print version of record. 311 $a1-119-94050-8 320 $aIncludes bibliographical references and index. 327 $aFinite Elements: Computational Engineering Sciences; Contents; Preface; About the Author; Notations; 1 The Computational Engineering Sciences: an introduction; 1.1 Engineering Simulation; 1.2 A Problem-Solving Environment; 1.3 Weak Formulation Essence; 1.4 Decisions on Forming WSN; 1.5 Discrete WSh Implementations; 1.6 Chapter Summary; References; 2 Problem Statements: in the engineering sciences; 2.1 Engineering Simulation; 2.2 Continuum Mechanics Viewpoint; 2.3 Continuum Conservation Principle Forms; 2.4 Constitutive Closure for Conservation Principle PDEs 327 $a2.5 Engineering Science Continuum MechanicsReferences; 3 Some Introductory Material: PDEs, BCs, solutions, discrete concepts; 3.1 Example Linear Heat Conduction Solutions; 3.2 Multidimensional PDEs, Separation of Variables; 3.3 Mathematical Foundation Essence for GWSN; 3.4 A Legacy FD Construction; 3.5 An FD Approximate Solution; 3.6 Lagrange Interpolation Polynomials; 3.7 Chapter Summary; Exercises; References; 4 Heat Conduction: an FE weak statement tutorial; 4.1 A Steady Heat Conduction Example; 4.2 Weak Form Approximation, Error Extremization 327 $a5.6 Global Theory, Asymptotic Error Estimate5.7 Nonsmooth Data, Theory Generalization; 5.8 Temperature-Dependent Conductivity, Nonlinearity; 5.9 Static Condensation, p-Elements; 5.10 Chapter Summary; Exercises; Computer Labs; References; 6 Engineering Sciences, n = 1: GWSh {Nk(??)} implementations in the computational engineering sciences; 6.1 Introduction; 6.2 The Euler-Bernoulli Beam Equation; 6.3 Euler-Bernoulli Beam Theory GWSh Reformulation; 6.4 Timoshenko Beam Theory; 6.5 Mechanical Vibrations of a Beam; 6.6 Fluid Mechanics, Potential Flow; 6.7 Electromagnetic Plane Wave Propagation 327 $a6.8 Convection-Radiation Finned Cylinder Heat Transfer6.9 Chapter Summary; Exercises; Computer Labs; References; 7 Steady Heat Transfer, n > 1: n = 2, 3 GWSh for D E+ BCs, FE bases, convergence, error mechanisms; 7.1 Introduction; 7.2 Multidimensional FE Bases and DOF; 7.3 Multidimensional FE Operations for {Nk(? ?)}; 7.4 The NCk = 1,2 Basis FE Matrix Library; 7.5 NC Basis {WS}e Template, Accuracy, Convergence; 7.6 The Tensor Product Basis Element Family; 7.7 Gauss Numerical Quadrature, k = 1 TP Basis Library; 7.8 Convection-Radiation BC GWSh Implementation 327 $a7.9 Linear Basis GWSh Template Unification 330 $aApproaches computational engineering sciences from the perspective of engineering applications Uniting theory with hands-on computer practice, this book gives readers a firm appreciation of the error mechanisms and control that underlie discrete approximation implementations in the engineering sciences. Key features: Illustrative examples include heat conduction, structural mechanics, mechanical vibrations, heat transfer with convection and radiation, fluid mechanics and heat and mass transportTakes a cross-discipline continuum mechanics viewpoi 606 $aFinite element method 615 0$aFinite element method. 676 $a620.001/51825 700 $aBaker$b A. J.$f1936-$01675115 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910877819303321 996 $aFinite elements$94203195 997 $aUNINA