Journal of Shanghai University(Natural Science Edition) ›› 2009, Vol. 15 ›› Issue (3): 276-283.

• Mathematics.Physics and Chemistry • Previous Articles     Next Articles

Static Analysis of Axisymmetric Thermoelastic Thin Plate with Voids

 LI Ying, CHENG Chang-Jun   

  1. 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
    2. College of Sciences, Shanghai University, Shanghai 200444, China
  • Online:2009-06-30 Published:2009-06-30

Abstract:

In this paper, a model of thermoelastic thin plate with voids is established based on the theory of thermoelastic materials with voids. An analytic solution of the axisymmetric problem under static state is presented, and expressions of the deflection and voids are obtained with both fixed and simply supported boundary conditions. Numerical computation is carried out. Effects of voids and temperature on the deflection are considered. Influence of thickradius ratio of plate and temperature on deflection and the change in volume fraction are investigated.

Key words: voids; thermoelastic; thin plate; axisymmetric problem; analytic solution

CLC Number: