Effective in plane moduli of composites with a micropolar matrix and   coated fibers

doi:10.1016/j.ijsolstr.2003.09.018

CORC > 北京大学 > 工学院

	Effective in plane moduli of composites with a micropolar matrix and coated fibers
	Xun, F ; Hu, GK ; Huang, ZP
刊名	international journal of solids and structures
	2004
关键词	micropolar micromechanics coated fiber effective moduli composite STRAIN GRADIENT PLASTICITY PONTE-CASTANEDA-WILLIS ELASTIC FIELDS MORI-TANAKA INCLUSION DEFORMATION INTERPHASE STRESS MODELS
DOI	10.1016/j.ijsolstr.2003.09.018
英文摘要	Stress and couple stress distributions are determined analytically for a coated fiber in an infinite micropolar matrix, loaded remotely by classical symmetric stresses. The determined stresses are then compared with those predicted by Cauchy theory, a size dependence is predicted in the framework of micropolar theory, and when the fiber's diameter is much larger than the characteristic length of the matrix, the classical prediction can be recovered. The exact average stress in a fiber for a fiber-matrix system (without interphase) is also compared with that approximately derived by the average equivalent inclusion method (AEIM), based on the micropolar Eshelby tensor given by Cheng and He [Int. J. Eng. Sci. 35 (7) (1997) 659], the results show that the approximate AEIM method can give an accurate prediction for the size dependence of the average stress in a fiber. A micro-macro transition method is also proposed to determine effective in plane moduli of a heterogeneous micropolar material, the effective shear and in plane bulk moduli of a micropolar composite with coated fibers are derived analytically by extending Mori-Tanaka's method to a micropolar composite, and the effective shear and in plane bulk moduli for a two-phase fiber composite (without interphase) are also obtained as a special case. The results show that the effective in plane bulk modulus is identical to that obtained by Cauchy theory, however the effective shear modulus depends on fiber's diameter, it increases with decreasing fiber's diameter at the same fiber volume fraction, and the classical prediction is recovered when the fiber's diameter becomes large compared to the matrix characteristic length. (C) 2003 Elsevier Ltd. All rights reserved.; Mechanics; SCI(E); EI; 24; ARTICLE; 1; 247-265; 41
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/255281]
专题	工学院
推荐引用方式 GB/T 7714	Xun, F,Hu, GK,Huang, ZP. Effective in plane moduli of composites with a micropolar matrix and coated fibers[J]. international journal of solids and structures,2004.
APA	Xun, F,Hu, GK,&Huang, ZP.(2004).Effective in plane moduli of composites with a micropolar matrix and coated fibers.international journal of solids and structures.
MLA	Xun, F,et al."Effective in plane moduli of composites with a micropolar matrix and coated fibers".international journal of solids and structures (2004).