功能梯度材料与结构的若干力学问题研究进展  

PROGRESS IN THE STUDY ON MECHANICS PROBLEMS OF FUNCTIONALLY GRADED MATERIALS AND STRUCTURES

作　　者：仲政[1] 吴林志[2] 陈伟球[3] 

机构地区：[1]同济大学航空航天与力学学院,上海200092 [2]哈尔滨工业大学复合材料研究所,哈尔滨150001 [3]浙江大学工程力学系,杭州310027

出　　处：《力学进展》2010年第5期528-541,共14页Advances in Mechanics

基　　金：国家自然科学基金重点资助项目(10432030)~~

摘　　要：功能梯度材料的宏观材料特性在空间上是连续变化的,因此即使在线弹性理论范围内,由于控制偏微分方程是变系数的,相应的力学分析具有很大的挑战性.综述了功能梯度材料与结构若干力学问题的最新研究进展,包括功能梯度材料梁、板、壳结构的解析解与半解析解以及简化理论的研究、功能梯度材料结构的数值计算方法研究、功能梯度材料的断裂力学研究.最后对未来功能梯度材料与结构的力学研究进行了展望.Owing to the continuously varying characteristics of macroscopic material properties of functionally graded materials （FGMs）, the governing partial differential equations, even within the framework of linear elasticity, are those with variable coeffcients, making the mechanics study a tough challenge. This paper gives a survey on the recent advances in the study on functionally graded materials and structures. We focus on the following three aspects： （1） the analytical and the semi-analytical solutions of functionally graded beams, plates and shells as well as their simplified theories, （2） the numerical methods for FGM structures, and （3） the fracture analysis of functionally graded materials. Perspective is finally given for future development of mechanics analysis of functionally graded materials and structures.

关 键 词：功能梯度材料 结构分析 数值计算 断裂力学 

分 类 号：O31[理学—一般力学与力学基础]