摘要
建立了梯度功能材料板的热弹性分析模型。考虑到梯度功能材料的材料性能沿板厚变化,参照复合料层合板将其沿板厚分为若干层,当层数足够多时,各层材料性能可视为常值。通过引入温度沿板厚折线假设和在位移场中考虑截面翘曲,显著改善了这类问题解的精度。算例显示了文中模型的精度和已有分析方法的不足,讨论了分层数的选取。
A thermoelastic model of functionally gradient material plates is developed. In order to deal conveniently with the through-thickness variation of its material properties, a functionally gradient material plate is divided to a number of layers through its thickness like a composite laminate, each layer being treated as an isotropic one. When the number of layers involved is big enough, the material properties of each layer may be assumed as constants. A temperature zigzag hypothesis through the thickness and a displacement field hypothesis including transverse shear deformation are introduced to ensure the accuracy of the present model. The continuities of temperature, displacements and stresses between layers are ensured exactly. A transverse deformation function developed for the analysis of laminated composites is adopted in the present model to improve its accuracy. The present model is proved to be highly accurate and the existing analytical methods are examined in the numerical examples. The choice of the number of layers is also discussed.
出处
《复合材料学报》
EI
CAS
CSCD
北大核心
2003年第1期51-54,共4页
Acta Materiae Compositae Sinica
基金
教育部"高等学校骨干教师资助计划"(教技司2000-65号)
江苏省"青蓝工程"资助
