This paper presents a methodology for computing the response of a rigid strip footing in incompressible Tresca soil when loaded to large settlements. The numerical simulations were performed using the generalized interpolation material point method (GIMP). For efficiency, a block-structured rectilinear irregular grid was used that moves and compresses as the footing advances. Volumetric locking was prevented using the non-linear extension to the B-bar method. The paper addresses the modifications required for the implementation of the B-bar method in GIMP and demonstrates its efficacy in mitigating locking using two benchmark problems: the Cook’s membrane problem and the limit bearing capacity of a footing in a Tresca soil at small settlements. The response of the footing when loaded to large settlements under both quasi-static and dynamic loads is then presented. A comparison of the solutions obtained using the proposed methodology with other numerical solutions available in the literature illustrates the efficacy of the proposed method.

本文提出了一种计算方法，用于计算不可压缩的Tresca土中刚性条形基础在加载到大块沉降时的响应。使用广义插值材料点方法（GIMP）进行了数值模拟。为了提高效率，使用了块结构的直线不规则网格，该网格随着立足点的移动而移动和压缩。使用非线性扩展的B型杆方法可以防止体积锁定。本文介绍了在GIMP中实施B型杆方法所需的修改，并展示了它在缓解锁定方面的有效性，使用了两个基准问题：库克膜问题和小居民区Tresca土壤中立脚的极限承载力。然后介绍了在准静态和动态载荷下加载到大型沉降区时基础的响应。使用所提出的方法获得的解决方案与文献中可用的其他数值解决方案的比较说明了所提出方法的有效性。