• 应用研究 •

### 嵌入无限大弹性板中圆板的热屈曲分析 1)

1. 扬州大学建筑科学与工程学院，江苏扬州 225127
• 发布日期:2019-08-26
• 作者简介:2) 孙云，副教授，研究方向为结构非线性分析。E-mail: syun@yzu.edu.cn
• 基金资助:
1) 国家自然科学基金项目(11672260)和中国博士后基金项目(149558)资助。

### THERMAL BUCKLING ANALYSIS OF CIRCULAR PLATE EMBEDDED IN AN INFINITE ELASTIC PLATE 1)

SUN Yun2), DONG Xiaolong, LI Shirong

1. School of Civil Science and Engineering, Yangzhou University, Yangzhou 225127, Jiangsu, China
• Published:2019-08-26

Abstract: This paper analyzes the thermal buckling of the circular plate embedded in an infinite elastic plate. As the temperature changes, the compressive stress will be generated in the circular plate due to the difference of the thermal expansion coefficient between the circular plate and the infinite elastic plate. When the compressive stress reaches the critical value, the thermal buckling will occur. Firstly, based on the theory of the plane stress problem of elasticity, the stress and the displacement of the circular plate and the infinite elastic plate are obtained. Then, the governing differential equation of the thermal buckling of the circular plate is derived. Analytical and numerical solutions of the critical buckling temperature are obtained. The effect of the difference of the material properties between the circular plate and the infinite elastic plate on the critical buckling temperature is discussed.