热载荷下功能梯度材料梁的热弹性弯曲  

THERMOELASTIC BENDING OF FUNCTIONALLY GRADED MATERIALS BEAMS UNDER THERMAL LOAD

作　　者：王明禄[1] 马文蕾 魏高峰[1] 

机构地区：[1]山东轻工业学院机械工程学院,济南250353 [2]山东松下电子信息有限公司,济南250101

出　　处：《玻璃钢／复合材料》2009年第1期7-9,6,共4页Fiber Reinforced Plastics/Composites

基　　金：山东省优秀青年科学家奖励基金(2007BS004045)

摘　　要：假设FGM梁的材料组分沿厚度方向呈幂律形式变化,在平截面假设下,建立FGM弹性梁的数学模型及其简化Gurtin型变分原理。借助问题的R itz解,讨论FGM梁在热载荷作用下的变形和应力分布,发现热载荷下FGM梁的应力翻转现象。The material properties of FGM beams are assumed to vary continuously through the thickness of the beam according to a power law distribution. The mathematical model and its corresponding variational principle for FGM elastic beams are set up on the basis of the assumption that plane section remains plane and normal to the beam axis. With the help of the analytical solution and Ritz solution, the deflection and the stress distribution are dis- cussed, in which the phenomena of stress overturn is found.

关 键 词：功能梯度材料 变分原理 Ritz解 

分 类 号：O345[理学—固体力学]