考虑材料参数空间变异性的SBFEM开裂模拟

SBFEM CRACKING SIMULATION CONSIDERING SPATIAL VARIABILITY OF MATERIAL PARAMETERS

论文建立了基于比例边界有限元法(scaled boundary finite element methods,SBFEM)框架的非局部宏微观损伤模型,考虑材料细观物理参数的空间变异性,探讨了材料参数的空间变异性对结构开裂过程的影响。结果表明:考虑材料参数空间变异性后,裂纹扩展路径具有不确定性,建议的模型能够很好地反应材料内在的随机性;随着结构受力情况的复杂化和结构本体缺陷的增多,裂纹开裂模式的变异性也会增大。自相关长度和参数变异系数对结构开裂分析结果有重要影响。

This paper proposes a non-local macro-micro damage model based on the scaled boundary finite element method(SBFEM)framework.It investigated the spatial variability of microscopic physical parameters of the material,and studied the influence of spatial variability of material parameters on the crack propagation process of the structure.The results show that considering the spatial variability of material parameters,the crack propagation path has uncertainty,and the proposed model can well reflect the inherent randomness of materials.As the stress state of the structure becomes more complex and the number of defects in the structure increases,the variability of the crack initiation pattern will also increase.The autocorrelation length and coefficient of variation of parameters have a significant impact on the structural cracking process.