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3D analysis of stress transfer in the micromechanics of fiber reinforced composites by using an eigen-function expansion method

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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3D analysis of stress transfer in the micromechanics of fiber reinforced composites by using an eigen-function expansion method. / Wu, Z J ; Ye, J Q ; Cabrera, J G .
In: Journal of the Mechanics and Physics of Solids, Vol. 48, No. 5, 05.2000, p. 1037-1063.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Wu, ZJ, Ye, JQ & Cabrera, JG 2000, '3D analysis of stress transfer in the micromechanics of fiber reinforced composites by using an eigen-function expansion method', Journal of the Mechanics and Physics of Solids, vol. 48, no. 5, pp. 1037-1063. https://doi.org/10.1016/S0022-5096(99)00058-7

APA

Wu, Z. J., Ye, J. Q., & Cabrera, J. G. (2000). 3D analysis of stress transfer in the micromechanics of fiber reinforced composites by using an eigen-function expansion method. Journal of the Mechanics and Physics of Solids, 48(5), 1037-1063. https://doi.org/10.1016/S0022-5096(99)00058-7

Vancouver

Wu ZJ, Ye JQ, Cabrera JG. 3D analysis of stress transfer in the micromechanics of fiber reinforced composites by using an eigen-function expansion method. Journal of the Mechanics and Physics of Solids. 2000 May;48(5):1037-1063. doi: 10.1016/S0022-5096(99)00058-7

Author

Wu, Z J ; Ye, J Q ; Cabrera, J G . / 3D analysis of stress transfer in the micromechanics of fiber reinforced composites by using an eigen-function expansion method. In: Journal of the Mechanics and Physics of Solids. 2000 ; Vol. 48, No. 5. pp. 1037-1063.

Bibtex

@article{17017fc56e224a74aeb02edef1b04287,
title = "3D analysis of stress transfer in the micromechanics of fiber reinforced composites by using an eigen-function expansion method",
abstract = "This paper presents an exact solution for an inhomogeneous, transversely isotropic, elastic circular cylinder subjected to axisymmetric force and displacement boundary conditions. The solution is obtained on the basis of an eigen-function expansion method and can satisfy all the boundary conditions prescribed on the curved and end surfaces of the cylinder. It can be used directly in the micromechanical analysis of fiber reinforced composites to investigate the typical Representative Volume Element (RVE). The element consists of a combined circular cylinder composed of a solid inner circular cylinder of transversely isotropic fiber and a concentric outer circular cylinder of isotropic matrix material. Using this solution, all the stress and displacement components of both the inner fiber and the outer matrix, and hence the stress transfer in the interface between the fiber and matrix, are expressed analytically. The numerical results presented show that stress concentration occurs near the ends of the cylinder where external forces are applied. ",
keywords = "A. Microstructures, Stress transfer , B. Fiber-reinforced composite materials , Analytic functions",
author = "Wu, {Z J} and Ye, {J Q} and Cabrera, {J G}",
year = "2000",
month = may,
doi = "10.1016/S0022-5096(99)00058-7",
language = "English",
volume = "48",
pages = "1037--1063",
journal = "Journal of the Mechanics and Physics of Solids",
issn = "0022-5096",
publisher = "Elsevier Limited",
number = "5",

}

RIS

TY - JOUR

T1 - 3D analysis of stress transfer in the micromechanics of fiber reinforced composites by using an eigen-function expansion method

AU - Wu, Z J

AU - Ye, J Q

AU - Cabrera, J G

PY - 2000/5

Y1 - 2000/5

N2 - This paper presents an exact solution for an inhomogeneous, transversely isotropic, elastic circular cylinder subjected to axisymmetric force and displacement boundary conditions. The solution is obtained on the basis of an eigen-function expansion method and can satisfy all the boundary conditions prescribed on the curved and end surfaces of the cylinder. It can be used directly in the micromechanical analysis of fiber reinforced composites to investigate the typical Representative Volume Element (RVE). The element consists of a combined circular cylinder composed of a solid inner circular cylinder of transversely isotropic fiber and a concentric outer circular cylinder of isotropic matrix material. Using this solution, all the stress and displacement components of both the inner fiber and the outer matrix, and hence the stress transfer in the interface between the fiber and matrix, are expressed analytically. The numerical results presented show that stress concentration occurs near the ends of the cylinder where external forces are applied. 

AB - This paper presents an exact solution for an inhomogeneous, transversely isotropic, elastic circular cylinder subjected to axisymmetric force and displacement boundary conditions. The solution is obtained on the basis of an eigen-function expansion method and can satisfy all the boundary conditions prescribed on the curved and end surfaces of the cylinder. It can be used directly in the micromechanical analysis of fiber reinforced composites to investigate the typical Representative Volume Element (RVE). The element consists of a combined circular cylinder composed of a solid inner circular cylinder of transversely isotropic fiber and a concentric outer circular cylinder of isotropic matrix material. Using this solution, all the stress and displacement components of both the inner fiber and the outer matrix, and hence the stress transfer in the interface between the fiber and matrix, are expressed analytically. The numerical results presented show that stress concentration occurs near the ends of the cylinder where external forces are applied. 

KW - A. Microstructures

KW - Stress transfer

KW - B. Fiber-reinforced composite materials

KW - Analytic functions

U2 - 10.1016/S0022-5096(99)00058-7

DO - 10.1016/S0022-5096(99)00058-7

M3 - Journal article

VL - 48

SP - 1037

EP - 1063

JO - Journal of the Mechanics and Physics of Solids

JF - Journal of the Mechanics and Physics of Solids

SN - 0022-5096

IS - 5

ER -