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节点插值子胞模型是一种通过虚位移原理和代表性体积单元建立宏观和细观应变之间关系的细观力学方法。采用节点插值子胞模型进行二维纺织纤维增强陶瓷基复合材料的力学性能预测。分别建立二维平纹和交叉编织复合材料单胞的细观结构分析模型,分别采用三次B样条和正弦曲线来模拟经纱和纬纱的截面和弯曲形式,并根据纤维和基体中的孔隙含量对其模量进行折减,采用节点插值子胞模型进行宏观力学性能预测,并分析了细观结构参数和纤维体积含量对材料力学性能的影响。节点插值子胞模型的预测结果与有限元法比较表明:采用节点插值子胞模型进行二维平纹和交叉编织陶瓷基复合材料力学性能预测的有效性和可行性。
The node-interpolated daughter cell model is a mesomechanical approach that establishes the relationship between macroscopic and meso-strain through the principle of virtual displacement and representative volume elements. The mechanical properties of two-dimensional textile fiber reinforced ceramic matrix composites are predicted by node interpolation sub-cell model. The mesostructural analysis model of two-dimensional plain weave and cross-braided composite unit cells was established respectively. The cubic B-spline and sinusoidal curves were used to simulate the cross-section and the curved form of the warp and weft respectively. According to the pore contents in the fiber and the matrix, Modulus reduction, the node interpolation sub-cell model was used to predict macroscopic mechanical properties, and the effect of mesostructure parameters and fiber volume content on the mechanical properties of the material was analyzed. The comparison between the prediction results of the node interpolation and the finite element method shows that the validity and feasibility of the prediction of the mechanical properties of two-dimensional plain weave and cross-weave ceramic matrix composites by using the node interpolation sub-cell model.