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.

• Cover
• Copyright
• How to read this book
• Introduction
• Chapter 1: Plates as Structural Continua
• Chapter 2: Tensor Foundations of Stress, Strain, and Equilibrium
• Chapter 3: Constitutive Laws for Plate Materials
• Chapter 4: Kinematics of Thin and Moderately Thick Plates
• Chapter 5: Stress Resultants and Plate Equilibrium
• Chapter 6: Classical Kirchhoff-Love Plate Theory
• Chapter 7: Boundary Conditions in Plate Bending
• Chapter 8: Exact Solutions for Rectangular Thin Plates
• Chapter 9: Circular and Annular Plates
• Chapter 10: Energy Principles for Plate Mechanics
• Chapter 11: Approximate Analytical Methods
• Chapter 12: Reissner-Mindlin Plate Theory
• Chapter 13: Higher-Order and Three-Dimensional Plate Theories
• Chapter 14: Membrane Action and In-Plane Loading
• Chapter 15: Buckling of Plate Elements
• Chapter 16: Free and Forced Vibration of Plates
• Chapter 17: Thermal, Hygroscopic, and Initial-Strain Effects
• Chapter 18: Laminated Composite Plates
• Chapter 19: Finite Element Formulation of Plate Elements
• Chapter 20: Stress Recovery, Failure Criteria, and Design Interpretation
• Chapter 21: Nonlinear Plate Mechanics
• Chapter 22: Advanced Applications and Modeling Strategy
• Conclusion