Large deformation analysis in geomechanics plays an important role in understanding the nature of post-failure flows and hazards associated with landslides under different natural calamities. In this study, a SPH framework is proposed for large deformation and failure analysis of geomaterials. An adaptive B-spline kernel function in combination with a pressure zone approach is proposed to counteract the numerical issues associated with tensile instability. The proposed algorithm is validated using a soil cylinder drop problem, and the results are compared with FEM. Finally, the effectiveness of the proposed algorithm in the successful removal of tensile instability and stress noise is demonstrated using the well-studied slope failure simulation of a cohesive soil vertical cut.

翻译：岩土力学中的大变形分析在理解自然灾害下滑坡后破坏流动特性及危险性中具有重要作用。本研究提出了一种用于岩土材料大变形与破坏分析的SPH框架，通过结合自适应B样条核函数与压力分区方法，用以消解拉伸不稳定性导致的数值问题。采用土柱坍落问题验证了所提算法，并将结果与有限元法进行了对比。最后，通过经典的黏性土垂直边坡失稳模拟，论证了该算法在有效消除拉伸不稳定性和应力噪声方面的有效性。