Footing foundations are sometimes built on sloping grounds of natural sand which is highly anisotropic. The anisotropic mechanical behaviour of sand can significantly influence the bearing capacity of a foundation and the failure mechanism of its supporting slope. Neglecting sand anisotropy may lead to overestimated bearing capacity and under-design of foundations. A numerical investigation on the response of a supporting slope under a strip footing is presented, placing a special focus on the effect of sand anisotropy. A critical state sand model accounting for fabric evolution is used. The nonlocal method has been used to regularize the mesh-dependency of the numerical solutions. Predictions of the anisotropic model on the bearing capacity of strip footings on slopes are validated by centrifuge test data on Toyoura sand. Compared to the centrifuge test data, an isotropic model may overpredict the bearing capacity of the footing by up to 100% when the model parameters are determined based on test data on a horizontal bedding plane case. When the isotropic model parameters are determined based on test data where the bedding plane is vertical, the predictions of bearing capacity can be improved for some cases but the settlement at failure may be significantly overestimated. The soil body tends to move along the bedding plane upon the footing loading due to the non-coaxial strain increment caused by fabric anisotropy. The slip surface appears to be deeper with lower bearing capacity when the preferred soil movement direction caused by bedding plane is towards the slope.

中文翻译：

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各向异性无粘性坡地上条形基础的变形与破坏

地基基础有时建在高度各向异性的天然砂坡地上。砂土的各向异性力学行为对地基的承载力及其支护边坡的破坏机理有显着影响。忽视砂的各向异性可能会导致高估承载能力和设计不足的基础。介绍了在条形基础下支撑边坡响应的数值研究，特别关注沙子各向异性的影响。使用考虑织物演化的临界状态砂模型。非局部方法已用于正则化数值解的网格相关性。各向异性模型对边坡条形基础承载力的预测得到了 Toyoura 砂离心机试验数据的验证。相比于离心机试验数据，当基于水平层理平面情况下的试验数据确定模型参数时，各向同性模型可能会高估基础的承载能力达 100%。当基于层理平面垂直的测试数据确定各向同性模型参数时，在某些情况下可以提高承载力的预测，但可能会显着高估破坏时的沉降。由于织物各向异性引起的非同轴应变增量，土体在基脚加载时倾向于沿层理平面移动。当层理平面引起的首选土壤运动方向朝向斜坡时，滑动面似乎更深，承载力更低。