Description
Taylor & Francis Ltd Theory And Analysis Of Elastic Plates And Shells 2Nd Edition 2006 by J. N. Reddy
Because plates and shells are common structural elements in aerospace, automotive, and civil engineering structures, engineers must understand the behavior of such structures through the study of theory and analysis. Compiling this information into a single volume, Theory and Analysis of Elastic Plates and Shells, Second Edition presents a complete, up-to-date, and unified treatment of classical and shear deformation plates and shells, from the basic derivation of theories to analytical and numerical solutions.Revised and updated, this second edition incorporates new information in most chapters, along with some rearrangement of topics to improve the clarity of the overall presentation. The book presents new material on the theory and analysis of shells, featuring an additional chapter devoted to the topic. The author also includes new sections that address Castigliano's theorems, axisymmetric buckling of circular plates, the relationships between the solutions of classical and shear deformation theories, and the nonlinear finite element analysis of plates. The book provides many illustrations of theories, formulations, and solution methods, resulting in an easy-to-understand presentation of the topics.Like the previous edition, this book remains a suitable textbook for a course on plates and shells in aerospace, civil, and mechanical engineering curricula and continues to serve as a reference for industrial and academic structural engineers and scientists. PREFACE TO THE SECOND EDITION PREFACE ABOUT THE AUTHORVECTORS, TENSORS, AND EQUATIONS OF ELASTICITY IntroductionVectors, Tensors, and MatricesEquations of ElasticityTransformation of Stresses, Strains, and Stiffnesses ENERGY PRINCIPLES AND VARIATIONAL METHODS Virtual WorkEnergy PrinciplesCastigliano's Theorems Variational Methods CLASSICAL THEORY OF PLATESIntroduction Assumptions of the TheoryDisplacement Field and StrainsEquations of MotionBoundary and Initial ConditionsPlate Stiffness CoefficientsStiffness Coefficients of Orthotropic PlatesEquations of Motion in Terms of Displacements ANALYSIS OF PLATE STRIPSIntroductionGoverning EquationsBending AnalysisBuckling under Inplane Compressive LoadFree VibrationTransient Analysis ANALYSIS OF CIRCULAR PLATESIntroduction Governing EquationsAxisymmetric BendingAsymmetrical BendingFree VibrationAxisymmetric BucklingBENDING OF SIMPLY SUPPORTED RECTANGULAR PLATESIntroductionNavier SolutionsLevy's Solutions BENDING OF RECTANGULAR PLATES WITH VARIOUS BOUNDARY CONDITIONS Introduction Levy SolutionsApproximate Solutions by the Ritz MethodGENERAL BUCKLING OF RECTANGULAR PLATES Buckling of Simply Supported Plates under Compressive LoadsBuckling of Plates Simply Supported along Two Opposite Sides and Compressed in the Direction Perpendicular to Those SidesBuckling of Rectangular Plates Using the Ritz MethodDYNAMIC ANALYSIS OF RECTANGULAR PLATESIntroductionNatural Vibration of Simply Supported Plates Natural Vibration of Plates with Two Parallel Sides Simply SupportedNatural Vibration of Plates with General Boundary ConditionsTransient AnalysisSHEAR DEFORMATION PLATE THEORIESFirst-Order Shear Deformation Plate TheoryThe Navier Solutions of FSDTThe Third-Order Plate TheoryThe Navier Solutions of TSDTRelationships between Solutions of Classical and Shear Deformation TheoriesTHEORY AND ANALYSIS OF SHELLSIntroductionGoverning EquationsAnalytical Solutions of Thin Cylindrical Shells Analytical Solutions of Shells with Double Curvature Vibration and Buckling of Circular Cylinders FINITE ELEMENT ANALYSIS OF PLATESIntroductionFinite Element Models of CPTFinite Element Models of FSDTNonlinear Finite Element ModelsREFERENCESSUBJECT INDEXSummaries and Problems appear in every chapter.