二维三轴编织复合材料预压单胞模型建立及其弹性规律数值预测  

Preloaded unit cell model and elastic prediction of 2-D triaxial braided composites

作　　者：张芳芳[1] 段永川[2] ZHANG Fangfang;DUAN Yongchuan(School of Mechanical Engineering,Yanshan University,Qinhuangdao,Hebei 066004,China;Key Laboratory of Advanced Forging&Stamping Technology and Science,Ministry of Education,Yanshan University,Qinhuangdao,Hebei 066004,China)

机构地区：[1]燕山大学机械工程学院,河北秦皇岛066004 [2]燕山大学先进锻压成形技术与科学教育部重点实验室,河北秦皇岛066004

出　　处：《纺织学报》2019年第10期85-91,共7页Journal of Textile Research

基　　金：河北省自然科学基金青年科学基金项目(E2016203198);秦皇岛市科学技术研究与发展计划项目(201602A036);燕山大学博士基金项目(B902)

摘　　要：针对二维三轴编织复合材料预压参数化单胞模型建立困难的问题,结合变形后的预制件模型单元离散数据,采用体素法生成了参数化的单胞模型,同时利用周期三次样条曲线构造了纤维束路径,建立了纤维束任意一点处的材料方向计算方法,以及可以描述非对称透镜形平面曲线的参数方程,然后通过单元切割程序,获得了挤压变形的编织预制件网格模型。结合变形后的预制件单元离散数据,利用体素法生成了在界面上和单胞边界面上均位移连续的参数化单胞模型,分析了不同网格尺寸下有限元模型的收敛性,并验证了模型的计算精度。实验结果表明可利用该模型对实际预压条件下二维三轴编织复合材料的弹性规律进行预测。Aiming at the difficulties in establishing a 2-D triaxial braided composite preloaded parameterized unit cell model,the parametric unit cell model was generated by using the voxel method to combine the discrete unit data of the deformed prefabricated parts.A periodic cubic spline was put forward for the fiber path of 2\|D triaxial braided composites.Based on this spline,the material direction calculation method was established and a parametric equation describing the asymmetric lenticular plane curve was built.Considering the finite element model of the prefabricated part established by extrusion deformation,the unit cell model was generated by pre-compression using the unit cutting program.Combined with the discrete data of the deformed prefabricated element,a voxel method was used to generate a parametric unit cell model with continuous displacement on both the interface and the cell boundary.The convergence of the finite element model at different resolutions was analyzed.The results show that the elastic behavior of the 2\|D triaxial braided composites could be predicted by this model.

关 键 词：体素网格 刚度预报 参数化单胞 二维三轴编织 复合材料 

分 类 号：TB332[一般工业技术—材料科学与工程]