Buckling of Plates

• Published in: Stress in ASME Pressure Vessels, Boilers, and Nuclear Components p. 1
• Main Author: Jawad, Maan H
• Format: Book Chapter
• Language: English
• Published: United States John Wiley & Sons 2018; John Wiley & Sons, Incorporated; John Wiley & Sons, Inc
• Subjects: boundary conditions; buckling; circular plates; finite difference equations; MECHANICAL ENGINEERING & MATERIALS; Mechanics & Mechanical Engineering; nonuniform applied loads; numerical methods; rectangular plates; Strength of Materials
• ISBN: 9781119259282; 1119259282
• DOI: 10.1002/9781119259299.ch10

When a thin elastic plate is subjected to compressive in‐plane axial loads, in conjunction with small applied lateral loads or imperfections in the plate, the in‐plane deflections increase gradually with an increase in the applied loads up to a certain critical point. Beyond this point a slight increase in axial loads causes a large and sudden increase in the deflection. This phenomenon, called buckling, is the subject of this chapter for circular and rectangular plates. Buckling of rectangular plates is most commonly caused by in‐plane shear or in‐plane axial loads in the x‐ and y‐directions. The chapter presents classical and numerical methods for solving these loading conditions. The finite difference method is a powerful numerical tool for determining the approximate buckling of plates with irregular shapes, complicated boundary conditions, and nonuniform applied loads. It also serves as a handy tool for a obtaining a quick answer prior to performing more sophisticated, but lengthy, analysis.