基于Total-FETI法的混凝土损伤分析子区域剖分研究

    Research on sub-domain meshing of concrete damage analysis based on Total-FETI method

    • 摘要: 在整体有限元撕裂对接法和隐式梯度损伤模型结合的基础上,针对损伤子区域模拟的高精度要求和混凝土损伤扩展路径的不确定性问题,通过引入基于非局部损伤应变的子区域自适应更新方法,结合子区域更新误判修正,实现了混凝土损伤失效过程非线性子区域的高精度有限元网格自适应更新。同时,对L型混凝土试件进行不同子区域剖分数量和子区域分解形式的数值试验对比分析。研究结果表明:模型不存在子区域分解敏感性;子区域剖分数量越多,或者子区域分解方式与损伤扩展路径相适应时,高精度有限元网格子区域的自适应更新数量越少,模型计算规模减小明显;此外,子区域界面节点的增加对计算规模削减的影响较小,模型整体计算效率提高明显。研究结果可为混凝土损伤分析的并发多尺度数值计算提供参考。

       

      Abstract: Based on combination of total finite element tearing-interconnecting method and gradient-enhanced continuum damage model, aiming at the high-precision requirements of the damage sub-domain simulation and the uncertainty of concrete damage propagation path, through introducing the sub-domain adaptive updating method based on non-local equivalent strain, and incorporating the sub-domain update misjudgment correction, the high-precision finite element mesh adaptive update of nonlinear sub-domain during concrete damage and failure process simulation were realized. Moreover, numerical tests having different domain meshing numbers and domain meshing forms were carried out on L-shaped concrete specimen. The results show that there was no sub-domain meshing sensitivity for the model. When the number of sub-domain subdivision increased or the meshing mode of sub-regions was adapted to the damage propagation path, the number of adaptive updating of the sub-domain with high-precision finite element mesh decreased, and the calculation scale of the model was significantly reduced. In addition, the increment of sub-regional interface nodes had little effect on the reduction of calculation scale, and the overall calculation efficiency of the model was significantly improved. This study can provide reference for concurrent multi-scale numerical calculation of concrete damage analysis.

       

    /

    返回文章
    返回