Abstract In this paper, using the upper bound shakedown theorem by means of the displacement finite element method and nonlinear programming, a numerical method is proposed to obtain the shakedown limit of strip footing under repeated loading. Shakedown analysis is a powerful method that provides the possibility to determine the shakedown limit of a structure. The shakedown limit of a structure under repeated loading is a load limit below which the structure is in the safe zone and its behaviour is elastic. For cohesive-frictional soil, the Mohr-Coulomb yield criterion is considered without any linearization. The role of the unit weight of the soil in the shakedown limit of a footing under repeated load is studied. Also, the effect of repeated load on the reduction of the bearing capacity of footing is investigated in several examples.

中文翻译：

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基于非线性规划方法的粘性摩擦土地基上界安定分析

摘要 本文利用位移有限元法和非线性规划，利用上限安定定理，提出了一种数值计算方法，用于求取重复加载下条形基脚的安定极限。安定分析是一种强大的方法，它提供了确定结构安定极限的可能性。重复载荷下结构的安定极限是一个载荷极限，低于该载荷极限，结构处于安全区并且其行为是弹性的。对于粘性摩擦土，Mohr-Coulomb 屈服准则被认为没有任何线性化。研究了土的单位重量在重复荷载作用下基础的安定极限中的作用。此外，在几个例子中研究了重复载荷对基础承载能力降低的影响。