Seminal work done at the University of Newcastle on constitutive model integration, limit analysis, finite element analysis, and large deformation analyses have been instrumental in the development of strategies for the solution of the boundary-value problems of geomechanics. In this study, we present the results of analyses performed to demonstrate the usefulness of these contributions. In the first set of analyses, the accuracy and efficiency of time integration schemes is evaluated by simulating the response of Toyoura sand to undrained simple shear loading. In the second set of analyses, finite element limit analysis results are used to validate solutions obtained for certain boundary-value problems using the material point method (MPM). In the third set of analyses, a coupled MPM formulation is used to predict the bearing capacity of a strip footing under dynamic loads. The MPM results are compared against the results obtained using a coupled arbitrary Lagrangian-Eulerian approach. In the final set of analyses, the MPM is used to simulate penetration of a flat-tip and a conical-tip penetrometer into Ottawa 20–30 sand. The simulations, which closely match the experimental results, show that the flat-tip penetrometer mobilizes higher resistances than the conical-tip penetrometer throughout the penetration process.

纽卡斯尔大学在本构模型集成、极限分析、有限元分析和大变形分析方面所做的开创性工作有助于制定解决地质力学边界值问题的策略。在这项研究中，我们展示了为证明这些贡献的有用性而进行的分析结果。在第一组分析中，通过模拟 Toyoura 砂对不排水简单剪切载荷的响应来评估时间积分方案的准确性和效率。在第二组分析中，有限元极限分析结果用于验证使用材料点法 (MPM) 为某些边界值问题获得的解决方案。在第三组分析中，耦合 MPM 公式用于预测带状基础在动态载荷下的承载能力。将 MPM 结果与使用耦合的任意拉格朗日-欧拉方法获得的结果进行比较。在最后一组分析中，MPM 用于模拟平头和锥形针入度计对渥太华 20-30 砂的渗透。与实验结果密切匹配的模拟表明，在整个穿透过程中，平头针入度计比锥形针入度计调动了更高的阻力。