Limit search to available items
Book Cover
E-book
Author Eslami, Mohammad Reza

Title Thermal Stresses in Plates and Shells
Published Cham : Springer, 2024

Copies

Description 1 online resource (0 p.)
Series Solid Mechanics and Its Applications Series ; v.277
Solid Mechanics and Its Applications Series
Contents Intro -- Preface -- Contents -- 1 Introduction to Plate and Shell Structures -- 1.1 Introduction -- References -- 2 Tensor Analysis -- 2.1 Introduction -- 2.2 Basic Definitions -- 2.3 Coordinate Transformation -- 2.4 Euclidean Metric Tensor -- 2.5 Different Types of Tensors -- 2.6 Some Special Tensors -- 2.7 Tensors in Cartesian Coordinates -- 2.8 Contraction -- 2.9 Partial Derivatives -- 2.10 Christoffel Symbol -- 2.11 Covariant Derivative -- 2.12 Some Important Tensor Equations -- 2.13 Base Vectors in Curvilinear Coordinates -- 2.14 Physical Components of Vectors and Tensors
2.15 Theory of Surfaces -- 2.16 Fundamental Quadratic Forms of Surfaces, Codazzi Equations -- 2.17 Problems -- References -- 3 Thermal Stresses in Plates -- 3.1 Introduction -- 3.2 Classical First-Order Plate Theory -- 3.3 Boundary Conditions -- 3.4 Circular Plates -- 3.5 Navier Solution for Rectangular Plates -- 3.6 Levy's Solution for Rectangular Plates -- 3.7 General Solution for Rectangular Plates -- 3.8 Circular Plate with Radial Temperature -- 3.9 Composite Rectangular Plates -- 3.10 Effect of Shear Deformation -- 3.11 Dynamic Analysis of FGM Plates
3.12 Rectangular FGM Plates Under Thermal Shock -- 3.12.1 Temperature Profile -- 3.13 Active Piezothermoelastic Analysis of Composite Plates -- 3.13.1 First-Order Shear Deformation Theory -- 3.13.2 Sensor and Actuator Equations -- 3.13.3 Finite Element Formulation -- References -- 4 Theory of Shells -- 4.1 Introduction -- 4.2 Shell Geometry -- 4.3 Shells of Revolution -- 4.4 Analysis of Strain -- 4.5 Stress-Strain Relations -- 4.6 Stress Resultants -- 4.7 Equations of Motion of Shells -- 4.8 Comparison of Different Theories -- 4.9 Problems -- References -- 5 Thermal Stresses in Shells
5.1 Introduction -- 5.2 Symmetrically Loaded Cylindrical Shells -- 5.3 Axially Loaded and Heated Cylindrical Shells -- 5.4 Thermal Stresses in Cylindrical Shells -- 5.4.1 Derivation of the Equilibrium Equations -- 5.4.2 Summary -- 5.4.3 Results and Discussion -- 5.5 Cylindrical Shells of Gas Turbine Combustor -- 5.5.1 Theoretical Formulation -- 5.6 Simply Supported Cylindrical Panel -- 5.7 Symmetrically Loaded Spherical Shells -- 5.8 Axisymmetric Thermal Stresses -- 5.9 Thermal Stresses in Spherical Domes -- 5.10 General Temperature Distribution Along Meridian
5.11 Membrane Analysis of Spherical Shells -- 5.12 Spherical Shells with Circular Holes -- 5.12.1 Numerical Examples -- 5.13 Thermal Stresses in Conical Shells -- 5.13.1 Conical Shell Formulae -- 5.13.2 Equilibrium Equations of Conical Shell -- 5.14 Rotating Conical Shell -- References -- 6 Coupled Thermoelasticity of Plates -- 6.1 Introduction -- 6.2 Rectangular FGM Plates, TSDT -- 6.2.1 Equations of Motion -- 6.2.2 Energy Equation -- 6.2.3 Laplace Transform -- 6.2.4 Results and Discussion -- 6.3 Coupled Thermoelasticity of FGM Annular Plate -- 6.3.1 Governing Equations
Notes Description based upon print version of record
6.3.2 Equations of Motion
Genre/Form Electronic books
Form Electronic book
ISBN 9783031499159
3031499158