LEADER 05260nam 2200673 450 001 9910786658003321 005 20230803203446.0 010 $a1-118-89389-1 010 $a1-118-89470-7 010 $a1-118-89480-4 035 $a(CKB)3710000000167907 035 $a(EBL)1727720 035 $a(SSID)ssj0001335841 035 $a(PQKBManifestationID)11714502 035 $a(PQKBTitleCode)TC0001335841 035 $a(PQKBWorkID)11287038 035 $a(PQKB)10939598 035 $a(OCoLC)889265676 035 $a(MiAaPQ)EBC1727720 035 $a(Au-PeEL)EBL1727720 035 $a(CaPaEBR)ebr10891092 035 $a(OCoLC)883568127 035 $a(EXLCZ)993710000000167907 100 $a20140717h20142014 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aPlates $etheories and applications /$fK. Bhaskar, T. K. Varadan 210 1$aNew Delhi, India ;$aChichester, England :$cWiley :$cAne Books Pvt. Ltd.,$d2014. 210 4$dİ2014 215 $a1 online resource (357 p.) 225 0 $aAne/Athena Books 300 $aIncludes index. 311 $a1-118-89387-5 327 $aCover; Title Page; Copyright ; Preface ; Contents; Part A Classical Theory and Straightforward Applications; 1 Definition of a Thin Plate; 1.1 The Elasticity Approach; 1.2 A Test Problem; 1.3 The Case of a Thin Plate; 2 Classical Plate Theory; 2.1 Assumptions of Classical Plate Theory; 2.2 Moment-Curvature Relations; 2.3 Equilibrium Equations; 2.4 Governing Biharmonic Equation; 2.5 Boundary Conditions; 2.6 Solution of a Problem; 2.7 Inclusion of an Elastic Foundation/Thermal Effects; 2.7.1 Elastic Foundation; 2.7.2 Thermal Effects; 2.8 Strain Energy of the Plate 327 $a3 A Critical Assessment of Classical Plate Theory3.1 CPT Solution for the Test Problem of Section 1.2; 3.2 Comparison with the Elasticity Solution; 3.3 Why the Plane-Stress Constitutive Law?; 4 Analysis of Rectangular Plates; 4.1 Recapitulation of Fourier Series; 4.2 Navier's Method; 4.3 Levy's Method; 4.4 Closed-form Solution for a Plate with Corner Supports; 5 Analysis of Circular Plates; 5.1 Equations of the Theory of Elasticity; 5.2 Equations of CPT; 5.3 Solution of Axisymmetric Problems; 6 Free and Forced Vibrations; 6.1 Equations of Motion; 6.2 Free Vibration Analysis 327 $a6.3 Forced Vibration Analysis7 Effect of In-plane Forces on Static Flexure, Dynamics and Stability; 7.1 Governing Equations for Combined Bending and Stretching; 7.2 Analysis for Stability; 7.3 Static Flexure; 7.4 Free Vibrations; 8 Approximate Solutions; 8.1 Analytical and Numerical Methods; 8.2 Rayleigh-Ritz Method; 8.2.1 Static Flexure; 8.2.2 Buckling; 8.2.3 Free Vibration Analysis; 8.3 Galerkin's Method; Appendix - Solutions for Problems; Part B Complicating Effects and Corresponding Theories; 9 Anisotropic, Laminated and Functionally-Graded Plates 327 $a9.1 CPT for Homogeneous Anisotropic Plates9.1.1 The Anisotropic Constitutive Law; 9.1.2 Plate Equations; 9.2 Classical Laminated Plate Theory; 9.3 CPT for Functionally-Graded Plates; 10 Elasticity Solutions for Plates; 10.1 Cylindrical Bending of a Cantilevered Plate Strip Under Tip Shear; 10.1.1 Homogeneous Strip; 10.1.2 A Laminated Strip; 10.2 Flexure of Simply Supported Rectangular Plates/Laminates Due to Transverse Loading; 10.3 Vibrations and Stability of Simply Supported Rectangular Plates and Laminates; 10.4 Solutions for Rectangular Plates with Other Edge Conditions 327 $a10.5 Corner Reactions in Simply Supported Plates - Insight Obtained from Elasticity Solutions10.6 Plates under Thermal Loads; 11 Shear Deformation Theories; 11.1 First-order Shear Deformation Theory; 11.2 Higher-order Theories; 12 Variable Thickness Plates; 12.1 Stepped versus Smooth Thickness Variation; 12.2 Rectangular Plates; 12.3 Circular Plates; 13 Plate Buckling due to Non-Uniform Compression; 13.1 The In-plane Problem; 13.2 Determination of the Critical Load; 13.3 Some Other Approaches; 14 Non-Linear Flexure and Vibrations; 14.1 Cylindrical Bending of a Simply Supported Plate Strip 327 $a14.1.1 Case (a): Immovable Edges 330 $aPlates: Theories and Applications provides a comprehensive introduction to plate structures, covering classical theory and applications. It considers plate structures in several forms, starting from the simple uniform, thin, homogeneous metallic structure to more efficient and durable alternatives involving features such as variable-thickness, lamination, sandwich construction, fiber reinforcement, functional gradation, and moderately-thick to very-thick geometry. Different theoretical models are then discussed for analysis and design purposes starting from the classical thin plate 410 0$aAne/Athena Books 606 $aAcoustical engineering 606 $aGeology, Stratigraphic 606 $aPlate tectonics 615 0$aAcoustical engineering. 615 0$aGeology, Stratigraphic. 615 0$aPlate tectonics. 676 $a620.2 700 $aBhaskar$b K.$0912076 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910786658003321 996 $aPlates$92042246 997 $aUNINA