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Elastoplastic Cosserat continuum model considering strength anisotropy and its application to the analysis of slope stability

机译：考虑强度各向异性的弹塑性Cosserat连续体模型及其在边坡稳定性分析中的应用

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摘要

Aiming at solving the problems of strength anisotropy and strain localization of cohesive soil, Pietruszczak's method, in which the microstructure tensor is combined with stress invariance, is developed to analyze the cohesion anisotropy and is introduced into the Drucker-Prager constitutive model under Cosserat continuum theory. A consistent algorithm of the corresponding constitutive model is derived. The characteristics of strength anisotropy and the reliability of the developed numerical method are verified by the experiments in laboratory. The importance and necessity of developing the numerical model with strength anisotropy under the framework of Cosserat theory are evaluated via simulation of a plane strain compression model. It indicates that the degree of the cohesion anisotropy has an important influence on the bearing capacity, and that the numerical model can overcome the ill-posedness of the mesh sensitivity and maintain the well-posedness of the strain localization problem. Furthermore, the effects of strength anisotropy and strain softening on the safety factor of the slope are analyzed via the gravity increase method. It is demonstrated that the Cosserat continuum model can effectively overcome the problems of mesh-dependence encountered by the classical continuum model and yield a reasonable safety factor with mesh refinement.
机译：为了解决粘性土的强度各向异性和应变局部化问题，开发了将微结构张量与应力不变性相结合的Pietruszczak方法，以分析粘性各向异性，并根据Cosserat连续理论将其引入Drucker-Prager本构模型。 。推导了相应本构模型的一致算法。通过实验室实验验证了强度各向异性的特征和所建立数值方法的可靠性。通过模拟平面应变压缩模型，评估了在Cosserat理论框架下建立具有强度各向异性的数值模型的重要性和必要性。这表明内聚各向异性的程度对承载力有重要影响，数值模型可以克服网格灵敏度的不适定性，并保持应变局部化问题的适定性。此外，通过重力增加法分析了强度各向异性和应变软化对边坡安全系数的影响。证明了Cosserat连续体模型可以有效克服经典连续体模型遇到的网格依赖问题，并通过网格细化产生合理的安全系数。

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