高级检索

基于相场法的铝锂合金搅拌摩擦焊接头脆性断裂数值模拟

Numerical simulation of brittle fracture of Al-Li alloy joint by friction stir welding based on phase field method

  • 摘要: 以2195铝锂合金搅拌摩擦焊接头为研究对象,开展基于相场法的脆性断裂数值模拟研究. 相场法以Francfort-Marigo变分原理为理论基础,在系统总势能中考虑断裂能,并考虑应变能的拉伸和压缩分解. 引入弥散裂纹模型近似非光滑的裂纹拓扑关系,以序参量表征材料损伤. 基于Abaqus软件联合用户自定义元素子程序(user element subroutine,UEL),采用交替解法实现位移场和相场的耦合,进而求解脆性断裂问题. 通过与试验结果对比,基于相场法的紧凑拉伸试件焊接区脆性断裂的裂纹扩展路径模拟吻合较好,且最大载荷值误差仅为0.46%. 文中进一步研究增量步步长∆u、相场特征宽度Lc与网格尺寸h对相场法模拟结果的影响,并将相场法与扩展有限元法(extended finite element method,XFEM)和内聚力模型(cohesive zone model,CZM)进行对比. 研究表明,当分析增量步为1 × 10−4时,分析结果收敛. Lc与裂纹h存在2倍的关系时,模拟结果较为准确. 相场法可以准确模拟2195铝锂合金搅拌摩擦焊接头脆性断裂演化过程.

     

    Abstract: With 2195 Al-Li alloy joints by friction stir welding as research objects, the numerical simulation of brittle fracture based on the phase field method was carried out. Based on the Francfort-Marigo variational principle, the phase field method considered the fracture energy in the total potential energy of the system. It considered the tension and compression of the strain energy. The dispersion crack model was introduced to approximate the non-smooth crack topological relationship, and the material damage was characterized by order parameters. Based on the Abaqus and user element subroutine (UEL), the coupling of the displacement field and phase field was realized by alternate solutions to solve the brittle fracture problem. Compared with the experimental results, the simulation of the crack propagation path of brittle fracture in the welding zone of the compact tension specimen based on the phase field method was in good agreement, and the maximum load error was only 0.46%. The effects of incremental step length ∆u, phase field feature width Lc, and mesh size h on the simulation results of the phase field method were studied. The phase field method was compared with the extended finite element method (XFEM) and the cohesive zone model (CZM). The results have shown that when the analysis increment step is 10−4, the analysis results converge. When Lc is twice the crack h, the simulation results are relatively accurate. The phase field method can accurately simulate the brittle fracture evolution of 2195 Al-Li joints by alloy friction stir welding.

     

/

返回文章
返回