The Buckling of a Thick Circular Plate Using a Non-Linear Theory (Classic Reprint)

Explore how a nonlinear theory reshapes our understanding of buckling in thick circular plates and what that means for real‑world stability.

This book presents a detailed analysis of buckling under a nonlinear framework, focusing on symmetric axial modes and the pressures that trigger them. It compares nonlinear results with classical linear theory and clarifies how thickness and boundary conditions influence the buckling behavior of hollow cylinders.

Begin with a clear setup of the problem, including boundary conditions and the transition from an unbuckled to a buckled state. The work derives a nonlinear strain energy approach and shows how to determine critical buckling pressures and modes for axisymmetric scenarios. It also discusses how these nonlinear results align with or differ from linear predictions, especially for thin versus thick configurations.

• Foundations of the nonlinear theory used to model buckling in cylindrical plates
• Derivation of critical pressures and buckling modes for axisymmetric cases
• Comparison to linear plate theory and discussion of thickness effects
• Series representations and how they relate to buckling mode shapes

Ideal for readers interested in nonlinear elasticity, structural stability, and the practical implications of buckling analyses in engineering design.