基于自适应双相场模型的纤维增强复合材料单层板断裂性能
Study on fracture of fiber-reinforced composite single layer laminate based on adaptive double phase-field model
郭雯 1马玉娥 1Sundar Natarajan 2陈鹏程 1彭帆3
作者信息
- 1. 西北工业大学 航空学院,西安 710072
- 2. Indian Institute of Technology Madras,School of Mechanical Engineering,Chennai 600036
- 3. 长安大学 理学院,西安 710064
- 折叠
摘要
相场法可以自动捕捉裂纹的萌生和演化,因此在模拟复合材料的复杂失效行为时具有明显优势.为区分纤维增强复合材料(Fiber-reinforced composites,FRC)中存在的不同断裂模式,采用双相场断裂模型来分别表征基体和纤维的损伤演化.同时采用相场变量作为误差指标,在各向异性的双相场模型中引入了基于四叉树分解的网格自适应细化策略.设计并开发了相应的Matlab程序,研究了单向及变刚度纤维增强复合材料单层板在拉伸位移载荷下的断裂行为.计算结果表明:采用基于自适应算法的各向异性双相场模型所得到的数值计算结果与试验结果吻合良好;自适应双相场模型能在保证较高计算精度的同时,配合序参量的演化准确地在裂纹路径上进行网格自动加密,简化网格前处理过程,减少网格数量,降低计算成本,提高计算效率.
Abstract
The phase-field method can automatically capture crack initiation and propagation,which has obvious advantages in simulating complex fracture behaviors in composites.To distinguish different fracture modes in fiber-reinforced composites(FRC),two phase-field variables were introduced to represent the damage evolution of fiber and matrix,respectively.An adaptive mesh refinement scheme based on the quadtree decomposition was incorpor-ated into the anisotropic double phase-field formulations using the phase-field variables as the error indicators.The corresponding Matlab programs were designed and developed to study the fracture behaviors of the unidirec-tional and variable stiffness fiber-reinforced composite single layer laminate under tensile load.The results show that:The numerical results are in good agreement with the experimental results;and the adaptive double phase-field method can not only guarantee high computational accuracy but also refine the mesh along the crack paths with the evolution of phase-field parameters automatically and accurately.Moreover,this method can simplify the mesh pre-processing process,greatly reduce the number of unnecessary elements and the calculation cost,improve the calculation efficiency.
关键词
纤维增强复合材料/双相场/各向异性/自适应/有限元Key words
fiber-reinforced composites/double phase-field/anisotropic/adaptive/finite element method引用本文复制引用
基金项目
国家自然科学基金国际(地区)合作与交流项目(52061135101)
出版年
2024
NETL
NSTL
万方数据