准各向同性复合材料弹性和强度的各向异性效应(Ⅱ)──应用与细观力学分析<sup>*</sup>

方辉宇; 郑泉水

准各向同性复合材料弹性和强度的各向异性效应(Ⅱ)──应用与细观力学分析^*

清华大学工程力学系, 北京 100084

基金项目: * 国家自然科学基金,国家教委基金

计量
- 文章访问数: 1896
- HTML全文浏览量: 80
- PDF下载量: 474
- 被引次数: 0
出版历程
- 收稿日期: 1996-03-20
- 刊出日期: 1996-10-15

Anisotropic Effects of Quasi-Isotropic Composites(Ⅱ)──Applications and Micro-Nlechanical Analysis

Department oj Engineering Mechanics, Qinghua University, Beijing 100084, P. R. China

摘要

摘要: 文献中尚未见到针对准各向同性复合材料的各向异性效应对复合材料结构影响的分析。本文在第(Ⅰ)部分^[1]所提出的强度准则模型的基础上,给出了复合材料各向异性特性在含椭圆孔和单个裂纹问题中的具体应用。在椭圆孔问题中分析了远场载荷随材料几何参数变化的规律;在含裂纹问题中分析了裂纹扩展方向随裂纹方向的变化规律。最后,用细观力学方法分析了一类三轴编织复合材料的弹性本构方程和强度准则,以及各向异性效应,得到了与实验和第(Ⅰ)部分理论模型相一致的结果。
- 准各向同性 /
- 椭圆孔 /
- 裂纹 /
- 各向异性效应 /
- 细观分析
Abstract: Up to now the analysis on aisnotropic effects of quasi-isotropic composites to material structures has not been found in literatures. In the present paper the strength model for triaxial woven materials proposed in Part (I)^[1] is applied to study the problems of an infintiely large plate of triaxial woven material containing either an either an elliptic hole or a crack. To the elliptic hole problem the remote coritical loading as a function of the geometric parameters of woven materials is analysed and to the crack problem, the cracking orientation is examined. Finally the elasticity and strength models for a triaxial woven material proposed in Part (I) are verfied in terms of micromechanical analysis.
- quasi-isotropy /
- elliptic hole /
- crack /
- anisotropic effects /
- micromechanical analysis

HTML全文

参考文献(10)

[1]	郑泉水、方辉宇,准各向同性复合材料刚度和强度的各向异性效应(I)—模型,应用数学和力学.17(10)(1996),869-878.
[2]	A.Fujita,H.Humada and Z.Maekawa,Tensile properties of carbon fibre triaxial woven fabric composites,J.Composite Materials,27 (1973),1428-1442.
[3]	张行主编,《高等弹性力学》,北京航空航天大学出版社(1994).
[4]	范天佑,《断裂力学基础》,江苏科学技术出版社(1978).
[5]	尹双增,《断裂、损伤理论和应用》,清华大学出版社(1992).
[6]	R.B.Pipes and B.W.Cole,On the off-axis strength test for anisotropic materials,J.Composite Materials,7 (1973),246-256.
[7]	S.R.Swanson and B.C.Trask,Strength of quasi-isotropic laminates under off-axis loading,Comp.Sci.& Tech.,34 (1989),19-34.
[8]	S.R.Swanson and M.Nelson,Failure properties of crabon/epoxy laminates under tension-compression biaxial stress,in Proc.3rd Japan-US Conf.on Comp.Mater.,Tokyo(1986).
[9]	S.R.Swanson,M.Messick and Z.Tian,Failure of carbon/epoxy laminates under combined stresses,J.Comp.Mater.,21 (1986),619-630.
[10]	T.W.Chou and F.K.Ko,Textile Structural Composites,Elsevier Science Publishing Company,Inc.(1989),357-365.