基于不同梯度模式压电功能梯度板的挠度与应力场分析  

Analyses of In-plane Stress and Out-of-plane Displacement of Piezoelectric Functionally Graded Plates Base on Different Gradient Models

作　　者：刘玮[1] 丁丽霞[1] 罗宏文[1] 

机构地区：[1]吉林大学数学学院,长春130012

出　　处：《吉林大学学报（理学版）》2005年第5期589-593,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10472037)

摘　　要：用解析方法模拟压电功能梯度材料物性参数沿空间分布的非线性特性.基于物性参数沿空间为多项式函数、非整数幂函数及e指数函数分布3种不同梯度模型,采用修正的层合板理论,对压电功能梯度材料平板的挠度及应力场进行了分析,并对数值结果进行对比研究.On the basis of three different gradient models which are polynomial function, fraction power function and exponent function respectively, we simulated the nonlinear characteristics of distribution of physical properties of the across the thickness of piezoelectric functionally graded material by means of analytic theory and obtained the in-plane stress and out-of-plane displacement by the modified classical lamination theory.

关 键 词：压电材料 功能梯度材料 梯度模型 物性参数 

分 类 号：O343.7[理学—固体力学]