Abstract
An analytical method is proposed to calculate the non-linear behavior of a unidirectional (UD) composite subjected to an in-plane shear load, only using the original elastic-plastic properties of the constituents plus a transverse tensile strength of the composite for estimation of the interface debonding initiation. Three major factors are taken into account. The first is the plasticity of matrix, which will be quantified with the micro-mechanics Bridging Model. Second, the calculated homogenized internal stresses of the matrix must be converted into true values in terms of its stress concentration factors (SCFs) to represent the influence of stress fluctuation in the matrix. Last but not least, distribution of the in-plane shear strain due to interface slippage between matrix and fiber is the focus of this research. It is found that the interface debonding and slippage play an important role in the nonlinear stress-strain behavior of the composite, explaining why a UD composite can sometimes undergo a nonlinear shear deformation even more significant than the counterpart of the pure matrix.
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