In this paper, we present a novel framework for solving boundary and initial-value problems involving multiphase granular soils under monotonic, cyclic, and dynamic loads. To achieve this, a constitutive model was developed using the concept of loading surface that allows the development of a stress integration scheme with less algorithmic complexity compared to its counterparts developed for the models that involve a yield or bounding surface. The developed model was implemented in a fully coupled framework to tackle several challenging issues in the numerical modelling of granular soils, including induced anisotropy and the response in scenarios including elevated stress levels, cyclic loading, during wetting and drying reversals, and under impact loads. Several numerical examples are presented, providing verification of the approach, and demonstrating the capabilities of the proposed solution framework.

在本文中，我们提出了一个新颖的框架，用于解决单调，循环和动态载荷下涉及多相粒状土的边界和初值问题。为了实现这一目标，使用加载表面的概念开发了本构模型，与涉及屈服或边界表面的模型所开发的模型相比，该模型允许以较少的算法复杂性来开发应力积分方案。在完全耦合的框架中实施开发的模型，以解决粒状土壤数值模型中的一些难题，包括引起的各向异性以及在应力水平升高，循环载荷，湿润和干燥逆转期间以及冲击载荷下的情景下的响应。给出了几个数值示例，提供了对该方法的验证，