Thermal Stresses in Plates and Shells (Solid Mechanics and Its Applications, 277)

✍ Scribed by Mohammad Reza Eslami

• Tongue: English
• Leaves: 535
• Category: Library

✦ Table of Contents

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
6.3.2 Equations of Motion
6.3.3 Energy Equation
6.3.4 Results and Discussion
References
7 Couple Thermoelasticity of Shells
7.1 Introduction
7.2 Coupled Thermoelasticity of Cylindrical Shells
7.2.1 Analysis
7.2.2 Strain–Displacement Relations
7.2.3 Equations of Motion
7.2.4 Energy Equation
7.2.5 Numerical Solution
7.2.6 Results and Discussion
7.2.7 Parametric Studies
7.3 Cylindrical Shell; Effect of Normal Stress
7.4 Composite Cylindrical Shells
7.4.1 Energy Equation
7.4.2 Finite Element Solution
7.4.3 Discussion and Results
7.5 Coupled Thermoelasticity of Spherical Shells
7.5.1 Energy Equations
7.5.2 Solution Procedure
7.5.3 Results and Discussions
7.6 Composite Spherical Shells
7.6.1 Energy Equation
7.7 Coupled Thermoelasticity of Conical Shells
7.7.1 Strain–Displacement Relations
7.7.2 Stress–Strain Relations
7.7.3 Equations of Motion
7.7.4 Energy Equation
7.7.5 Numerical Solution
7.7.6 Results and Discussion
7.8 Thermoelasticity of Shells of Revolution
7.8.1 Coupled Problems
7.8.2 Cylindrical Shells
7.8.3 Spherical Shells
7.9 Stability of Cylindrical Shells, Coupled Thermoelastic Assumption
7.9.1 Analysis
7.9.2 Equations of Motion and Boundary Conditions
7.9.3 Energy Equation
7.9.4 Finite Element Modeling
7.9.5 Numerical Method
7.9.6 Results and Discussion
References
8 Thermal Induced Vibrations
8.1 Introduction
8.2 FGM Rectangular Plates
8.2.1 Governing Equations
8.2.2 Temperature Profile
8.2.3 Results and Discussion
8.3 FGM Conical Shells
8.3.1 Fundamental Equations of the FG Conical Shell
8.3.2 Kinematic Assumptions
8.3.3 Stress Resultants
8.3.4 Equations of Motion
8.3.5 Temperature Profile
8.3.6 Results and Discussion
8.3.7 Comparison Study
8.3.8 Parametric Studies
8.4 Spherical Shells
8.4.1 Governing Equations
8.4.2 HDQ Discretization
8.4.3 Solution Procedure
8.4.4 Temperature Profile
8.4.5 Results and Discussion
8.4.6 Comparison Study
8.4.7 Parametric Studies
References
Appendix Index
Index