Abstract
An anisotropic damage constitutive model was presented to characterize mechanical behavior of continuous fiber-reinforced ceramic matrix composites (CFCC) with two-scale damage. An overall fourth-rank damage effect tensor was introduced to account for the overall damage of the composite system. In addition, two local (matrix and fiber) fourth-rank damage effect tensors were introduced to account for the local effects of damage experienced by both the matrix and fibers. The overall and local damage tensors were correlated together using homogenization procedure. In terms of the homogenization methods, the effective elastic properties were obtained, and the stress and strain concentration factors were derived for damaged composites. The model was applied in detail to the unidirectional laminate that was subjected to uni-axial tension. The results were compared well with experimental data. The effects of important parameters such as the fiber volume fraction and the damage material parameters on the nonlinear behavior of the composites were investigated. The model provided a useful tool for understanding the overall dependence of stress-strain behavior on all the underlying constituent material properties.
Highlights
Continuous fiber-reinforced ceramic matrix composite materials (CFCC) play an important role in the industry today through the design and manufacture of advanced materials capable of attaining higher stiffnessdensity and strength-density ratios
The literatures were rich in the developments of the CFCC technology [1,2,3,4,5], most of them were focus on the experimental work, and the theoretical analyses were limited on classical analysis, such as shear-lag model or modified shear-lag model
We take into consideration a periodic composite material, which is a material made of a large number of regularly distributed and equal unit cells with linear boundary conditions on them, and only a unit cell need be considered for microscopic analysis
Summary
Continuous fiber-reinforced ceramic matrix composite materials (CFCC) play an important role in the industry today through the design and manufacture of advanced materials capable of attaining higher stiffnessdensity and strength-density ratios. The literatures were rich in the developments of the CFCC technology [1,2,3,4,5], most of them were focus on the experimental work, and the theoretical analyses were limited on classical analysis, such as shear-lag model or modified shear-lag model These models attempt to estimate the material response by assuming simplified damage configurations (such as uniformly-spaced, infinitely-long matrix cracks, regular array of fibers, etc.) within the composites. As a result of volume integration and averaging of the local stress fields, the following relation is obtained between the local (matrix and fiber) stresses and the overall stress in C:. Upon volume integrating and averaging the local stress fields [18], the following local-overall relation is obtained for the effective spatial strain tensor:.
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