土石混合体细观数值模拟的弹塑性自适应有限元分析  

Elastic-plastic adaptive finite element analysis in mesostructural numerical simulation of soil-rock mixture

作　　者：余科 肖映雄[1] 徐亚飞 YU Ke;XIAO Yingxiong;XU Yafei(School of Mechanical Engineering and Mechanics,Xiangtan University,411105 Xiangtan,China)

机构地区：[1]湘潭大学机械工程与力学学院,湘潭411105

出　　处：《应用力学学报》2025年第2期395-404,共10页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金资助项目(No.10972191);湖南省教育厅资助科研项目(No.19A502)。

摘　　要：在土石混合体的细观弹塑性有限元分析中,为了能有效克服不规则块石附近的应力集中以及更好地捕捉塑性区大的塑性应变、提高塑性区的计算精度,需要采用自适应网格技术,以避免加密网格时的盲目性。采用基于后验误差估计的自适应网格重划分算法,并结合Abaqus二次开发,编写了相应的弹塑性自适应有限元Python脚本,实现了土石混合体细观数值模拟的自适应求解全过程。通过将Python脚本应用于几类典型的二维土石混合体细观结构模型的数值模拟,验证了基于网格重划分算法的自适应有限元方法在克服应力集中及更好捕捉塑性区大的塑性应变、提高塑性区计算精度上的有效性和适应性。In the mesoscopic elastic-plastic finite element analysis of soil-rock mixture,it is necessary to adopt adaptive meshes to avoid the blindness of mesh refining or remeshing in order to overcome the stress concentration near the irregular block blocks and better capture the large plastic strain in the plastic zones and further improve the calculation accuracy of the plastic zones.In this paper,the adaptive remeshing algorithm based on a posteriori error estimation is adopted and the resulting Python script of the elastic-plastic adaptive finite element program is written combining with Abaqus software.The whole process of adaptive solution is realized for mesoscopic numerical simulations of soil-rock mixture.By applying the python script to the mesostructure numerical simulations of several typical two-dimensional soil-rock mixtures,the effectiveness and adaptability of the adaptive finite element method based on remeshing algorithm are numerically verified in overcoming the stress concentration,better capturing the large plastic strain in the plastic zone and improving the calculation accuracy of the plastic zone.

关 键 词：细观随机模型 自适应网格重划分 等效塑性应变 应力集中 数值模拟 

分 类 号：O344.3[理学—固体力学] O302[理学—力学]