The present research focuses on the calculation of the bearing capacity of low-density volcanic Pyroclasts. First, the theoretical basis that define an adequate failure criterion for collapsible rocks based on the parameters that characterize them are developed here. Second, a mathematical characteristic lines method is proposed to resolve the ultimate load of shallow foundation rocks with collapsible failure criterion. This method leads to an analytical solution that differentiates two possible rupture mechanisms depending on the rock parameters and external confining load: (a) plastic failure wedge; (b) failure due to destructuring. The analytical solution is also represented in design abacuses to make it easy and quick. Finally, the proposed formulation is validated using numerical models by implementing the collapse criterion as a model defined by the user in a finite difference code. The result is a satisfactory comparison of bearing capacity values and the analytical rupture mechanisms.

中文翻译：

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低密度火山碎屑的极限承载力：在浅层基础上的应用

目前的研究重点是低密度火山火山碎屑的承载力计算。首先，这里开发了基于表征可塌陷岩石的参数为可塌陷岩石定义适当破坏准则的理论基础。其次，提出了一种数学特征线法，用可塌陷破坏准则求解浅层基岩极限荷载。该方法得出的解析解根据岩石参数和外部约束载荷区分两种可能的破裂机制：(a) 塑性破坏楔；(b) 由于解构而失败。分析解决方案也体现在设计算盘中，使其变得简单快捷。最后，通过将坍塌标准作为用户在有限差分代码中定义的模型，使用数值模型验证了所提出的公式。结果是对承载力值和分析破裂机制进行了令人满意的比较。