基于渐进均匀化的平纹编织复合材料低速冲击多尺度方法

张洁皓; 段玥晨; 侯玉亮; 铁瑛; 李成

doi:10.6052/0459-1879-19-133

基于渐进均匀化的平纹编织复合材料低速冲击多尺度方法

doi: 10.6052/0459-1879-19-133

郑州大学机械工程学院, 郑州 450001

基金项目: 1) 国家自然科学基金资助项目(U1333201);国家自然科学基金资助项目(U1833116);国家自然科学基金资助项目(11402234)

详细信息

通讯作者:
李成

中图分类号: TB332
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- 被引次数: 0
出版历程
- 收稿日期: 2019-05-22
- 刊出日期: 2019-09-18

MULTI-SCALE METHOD OF PLAIN WOVEN COMPOSITES SUBJECTED TO LOW VELOCITY IMPACT BASED ON ASYMPTOTIC HOMOGENIZATION

School of Mechanical Engineering, Zhengzhou University, Zhengzhou 450001, China

摘要

摘要: 针对平纹编织复合材料低速冲击响应和损伤问题,提出了一种多尺度分析方法. 首先, 建立微观尺度单胞模型,引入周期性边界条件,采用最大主应力失效准则和直接刚度退化模型表征纤维丝和基体的损伤起始与演化,预测了纤维束的弹性性能和强度性能. 其次,将这些性能参数代入介观尺度单胞模型,基于Hashin和Hou的混合失效准则以及连续介质损伤模型对介观尺度单胞进行6种边界条件下的渐进损伤模拟.然后采用渐进均匀化方法,以介观尺度单胞为媒介预测了0$^\circ$和90$^\circ$子胞的性能参数,并建立平纹编织复合材料的子胞模型,进而扩展成为材料的宏观尺度低速冲击模型. 在此基础上,研究了平纹编织复合材料低速冲击下的力学响应与损伤特征.结果表明：宏观冲击仿真和试验吻合较好, 验证了多尺度方法的正确性;最大接触力、材料吸能和分层面积均随冲击能量的增大而增大,分层损伤轮廓逐渐从椭圆形向圆形转化;基体拉伸和压缩损伤的长轴方向分别与子胞材料主方向正交和一致,损伤面积前者远大于后者.
- 平纹编织复合材料 /
- 渐进均匀化 /
- 低速冲击 /
- 多尺度
Abstract: A multi-scale approach was presented to analyze low velocity impact response and damage of plain woven composites. Firstly, by using the maximum principal stress failure criterion and direct stiffness degradation model to characterize the damage initiation and damage evolution of fiber and matrix, micro-scale unit cell under the periodical boundary condition was established to predict the elastic and strength properties of fiber bundles, which were substituted into the meso-scale unit cell. After that, the progressive damage simulation of meso-scale unit cell under six boundary conditions was carried out based on the mixed failure criteria of Hashin and Hou, and continuum damage model. Then the effective properties of 0$^\circ$and 90$^\circ$subcell were predicted based on the asymptotic homogenization method by using meso-scale unit cell as the media, and the subcell model of plain woven composites was established. The subcell model was then extended into a macro-scale low velocity impact model. Based on the above methods, the mechanical response and damage characteristics of plain woven composites under low velocity impact were studied. The results show that macro-scale impact simulation results agree well with experimental results, which verifies the correctness of multi-scale approach. The maximum contact force, absorbed energy and delamination area increase with the increasing impact energy, and the delamination damage morphology gradually transforms from ellipse to circle.The long axis direction of matrix tensile damage and matrix compressive damage are orthogonal and consistent with the material principal direction of subcell respectively, and the damage area of the former is much larger than that of the latter.
- plain woven composites /
- asymptotic homogenization /
- low velocity impact /
- multi-scale

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