非完美界面复合材料的驻值原理与相应变分方程等价的充分条件  

Sufficient Conditions of the Stationary Value Principles Equivalent of the Variation Equations for Composite with Imperfect Interface

作　　者：童金章 关凌云[1,2] 张清杰 符晶华[1,2] 

机构地区：[1]湖北省建筑科学研究设计院 [2]武汉工业大学工程力学系

出　　处：《武汉工业大学学报》1998年第2期102-106,共5页

基　　金：国家自然科学基金

摘　　要：当界面非完美时，复合材料的能量泛函必须计入非完美界面效应，该效应以界面积分项形式出现。与完美界面不同的是，由于这个积分项的引入，非完美界面复合材料的驻值原理不再与相应的变分方程等价。这在理论上是不完整的。本文基于驻值原理对界面积分项作出整体假定，由此得到了非完美界面复合材料驻值原理与相应变分方程等价的充分条件，指出了实现这种假设所必须的界面几何形状性质。When interface is imperfect ,its effect on energy functional of composite with it ,which emerges in form of interface integral items ,must be calculated.Because the items be introduced,difference of composite with imperfect interface from one with perfect interface is that stationary value principles of the former is no longer equivalent of variation equations corresponding the principles.This is not integral theoretically.In this paper ,assumptions of the interface integral items be done integrally based on the principles. From it ,the sufficient conditions of the stationary value principles equivalent of the variation equations for composite with imperfect interface be obtained, and the geometrical properties that the interface shape have to possess to realizing the conditions obtained above be pointed out.

关 键 词：非完美界面 复合材料 驻值原理 变分方程 

分 类 号：TB33[一般工业技术—材料科学与工程]