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Table of contents
Mechanics of Plate Elements
A graduate path from continuum foundations to plate theories, governing differential equations, and advanced solution methods
Read each section in order. Every title can be opened as a TheoryTrace document.
- Cover1
- Copyright2
- How to read this book3
- Introduction4
- Chapter 1: Plates as Structural Continua5
- Chapter 2: Tensor Foundations of Stress, Strain, and Equilibrium6
- Chapter 3: Constitutive Laws for Plate Materials7
- Chapter 4: Kinematics of Thin and Moderately Thick Plates8
- Chapter 5: Stress Resultants and Plate Equilibrium9
- Chapter 6: Classical Kirchhoff-Love Plate Theory10
- Chapter 7: Boundary Conditions in Plate Bending11
- Chapter 8: Exact Solutions for Rectangular Thin Plates12
- Chapter 9: Circular and Annular Plates13
- Chapter 10: Energy Principles for Plate Mechanics14
- Chapter 11: Approximate Analytical Methods15
- Chapter 12: Reissner-Mindlin Plate Theory16
- Chapter 13: Higher-Order and Three-Dimensional Plate Theories17
- Chapter 14: Membrane Action and In-Plane Loading18
- Chapter 15: Buckling of Plate Elements19
- Chapter 16: Free and Forced Vibration of Plates20
- Chapter 17: Thermal, Hygroscopic, and Initial-Strain Effects21
- Chapter 18: Laminated Composite Plates22
- Chapter 19: Finite Element Formulation of Plate Elements23
- Chapter 20: Stress Recovery, Failure Criteria, and Design Interpretation24
- Chapter 21: Nonlinear Plate Mechanics25
- Chapter 22: Advanced Applications and Modeling Strategy26
- Conclusion27