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

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.