纤维增强复合材料弹塑性性能的细观研究
详细信息Micromechanical approach to the elastoplastic behavior of a fiber reinforced composite
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摘要: 基于Mori-Tanaka方法和Eshelby等效夹杂理论，建立弹性阶段基体和纤维平均应力之间的桥联矩阵，导出了该矩阵各元素的显式。鉴于工程实际材料对柔度矩阵对称性的要求并考虑组分材料物理性能和细观几何特征等因素的影响，对所导出的桥联矩阵进行合理简化。引入与基体等效塑性应变相关联的修正参数，以此确定纤维和基体中应力分配。数值结果表明，本文中建立的复合材料非线性理论模型与实验结果吻合较好。Abstract: Based on Mori-Tanaka method and the equivalent inclusion theory，the bridging matrix which is used to define the relationship between mean stress tensors in resin and fiber of fiber-reinforcement composites can be achieved in this paper，as well as the explicit formula of matrix components. Considering the influence of factors such as practical engineering，symmetry of compliance matrix，physical performance of resin and micro-geometrical characteristics，the expression of components is simplified reasonably. Corrected parameters，which are the functions of the equivalent plastic strain of the matrix，are introduced and the mean stress distributions of fibers and resin are determined accordingly. The numerical results indicate that the theoretical values of the method presented in this paper are well fit with experimental results.
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