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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。
The average soil stress and the generalized shear stress will cross each other when the plastic strain is induced. Therefore, based on the law of dilatancy that reflects the cross effect, a coupling stress that can comprehensively consider the cross-effect of the average stress and the generalized shear stress is constructed. Based on the analysis of the existing laws of stress and strain creep tests, the sufficient and necessary conditions of the calculus of integrals in the calculus are taken as reference. One dimensional constitutive relation between the plastic volumetric strain and the coupling stress is derived. Applying this derivation method to sandy soil, a similar one-dimensional elastic-plastic constitutive relation of sand soil is also established. Through the establishment of coupling stress and the derivation of one-dimensional constitutive relation between coupling stress and plastic volume strain, a new method to understand and establish soil constitutive model is introduced from a new perspective.