土的平均应力与广义剪应力在引起塑性应变时会相互交叉影响,为此从反映该交叉影响的剪胀试验规律出发,构造了一个能综合考虑平均应力与广义剪应力交叉作用的耦合应力。在对已有的黏土应力应变试验规律分析的基础上,引用微积分学中曲线积分路径无关的充分必要条件,推导确立了黏土塑性体积应变与耦合应力的一维化本构关系。将该推导方法应用于砂土,又建立了砂土的类似一维化弹塑性本构关系。通过耦合应力的建立以及耦合应力与塑性体积应变一维化本构关系的推导,从全新的视角介绍了一种理解和建立土本构模型的方法。
For soils,the variations of the mean stress and the deviatoric stress induce plastic volume strain and plastic shearing strain.Based on the dilatancy equation,a coupling stress is proposed considering the influences of both the mean stress and the deviatoric stress on plastic strain.With the isotropic compression and swelling regularities of clay,referring to the necessary and sufficient conditions of path independency for curvilinear integration,a one-dimensional constitutive model describing the relationship between the plastic volume strain and the coupling stress is deduced.By using this method,an elasto-plastic constitutive relationship for sand is also established.From a new visual angle,a method for understanding and establishing the soil constitutive model is introduced by deducing the coupling stress and one-dimensional constitutive relation.