Synopsis
Understand how thin, curved shells buckle under external pressure—and why simple models often miss their most dramatic changes.
This concise, technical study examines a clamped shallow spherical shell under uniform external pressure. It explains how small deformations evolve and why the shell can snap from one stable shape to another at a critical load. The work blends linear theories, comparisons with experiments, and a practical formula to estimate initial buckling loads.
- Introduces two linearized problems that approximate the nonlinear buckling behavior.
- Identifies transitional values where the deformation mode changes.
- Compares theoretical predictions with experimental results and explains discrepancies.
- Offers a semi-empirical formula to predict initial buckling loads for practical use.
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