Abstract
A beam theory is developed for predicting the failure process and the ultimate strength of the fiber-reinforced composite beams with given damage mechanisms and failure criterion. The three-dimensional continuum is rigorously reduced to a two-dimensional crosssectional analysis and a one-dimensional beam analysis. The governing equations for the two-dimensional cross-sectional problem are derived from the rate form of the principle of virtual work. In addition, a three-dimensional anisotropic continuum damage model is proposed for fiber-reinforced polymers which is applied in the present beam model. The present theories are implemented using the finite element method. The proposed models could serve as not only an efficient high-fidelity virtual coupon testing but also an authentic predictor for the progressive failures of fiber-reinforced composite slender structures. Typical material models are used to validate the present theory.
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