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