Comparative modelling of crack propagation in elastic-plastic materials using meshfree LRPIM and XFEM

The modelling of crack propagation for elastic-plastic materials is critical in various engineering applications, such as safety analysis of concrete structures and stability analysis of rock slopes. Combined with elastic-plastic theory and fracture mechanics, the local radial basis point Interpolation method (LRPIM)has the ability to analyse crack propagation in elastic-plastic materials. Crack propagation in elastic-plastic materials is compared using the LRPIM and Extended Finite Element method (XFEM). The comparative investigation indicates that: (1) The LRPIM results are close to the model test results, which indicates that it is feasible for analysing crack growth of elastic-plastic materials. (2) Compared with the LRPIM, the XFEM results are closer to the experimental results, showing that the XFEM has higher accuracy and computational efficiency. (3) Compared with the XFEM, when the LRPIM method is used to analyse crack propagation, the propagation path is not smooth enough, whi...弹塑性材料的裂纹扩展建模在诸多工程应用中至关重要，例如混凝土结构安全分析与岩质边坡稳定性分析。结合弹塑性理论与断裂力学，局部径向基点插值法（Local Radial Basis Point Interpolation Method, LRPIM）可用于分析弹塑性材料的裂纹扩展。本研究采用局部径向基点插值法（LRPIM）与扩展有限元法（Extended Finite Element Method, XFEM）对弹塑性材料的裂纹扩展展开对比分析。对比研究结果表明：(1) 局部径向基点插值法的计算结果与模型试验结果较为吻合，证实该方法用于分析弹塑性材料裂纹扩展具备可行性。(2) 相较于局部径向基点插值法，扩展有限元法的计算结果更贴近试验结果，说明扩展有限元法具备更高的计算精度与计算效率。(3) 相较于扩展有限元法，采用局部径向基点插值法分析裂纹扩展时，其扩展路径不够平滑，whi...