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提出了计算含界面相的单向纤维增强复合材料三维应力的二重双尺度方法。在性能预报方面,首先对界面相和纤维进行均匀化得到均匀化夹杂,然后对均匀化夹杂和基体进行均匀化得到宏观均匀材料;在应力场描述方面,从宏观均匀场出发,利用双尺度渐近展开技术经过两次应力场传递,依次得到单胞和应力集中区域的应力场。与有限元方法相结合,计算了宏观轴向均匀拉伸载荷条件下含界面相的单向纤维增强复合材料的三维应力场分布。数值结果表明在此载荷条件下最大应力发生在每根纤维的中截面内,靠近纤维与界面相的交界处。讨论了界面相性能对应力场分布的影响,结果显示纤维、界面相与基体力学性能的等差过渡有利于缓解纤维在界面附近的应力集中。
A two-dimensional double-scale method for calculating the three-dimensional stress of unidirectional fiber-reinforced composites with interfacial phase was proposed. In the aspect of performance prediction, the uniform homogenization of the interfacial phase and the fiber is obtained firstly, then the homogenized inclusions and the homogenization of the matrix are homogenized to obtain the macroscopically uniform material. In the aspect of stress field description, from the macroscopic uniform field, The near unfolding technique passes the stress field twice, and the stress field of the unit cell and the stress concentration area are obtained sequentially. Combined with the finite element method, the 3D stress field distribution of unidirectional fiber reinforced composites with interfacial phase under the condition of uniform axial tensile load was calculated. The numerical results show that the maximum stress occurs under the loading conditions in the mid-section of each fiber, near the junction of the fiber and the interface phase. The effect of interfacial phase behavior on the distribution of stress field is discussed. The results show that the transition of fiber, interfacial phase and mechanical properties of the matrix is in favor of alleviating the stress concentration near the interface.