中文摘要：

从邓肯E-B模型的卸荷再加荷模量和体积模量出发,以热力学定律为基础,构造土体的吉布斯自由能函数,通过勒让德变换,得到增量的应力–应变关系。采用热力学方法对柔度矩阵进行修正,从而产生弹性体应力（或应变）与弹性剪切应变（或应力）的耦合项。经典的弹性本构认为剪切与胀缩效应是不相关的,但几个闭合应力路径的计算表明,其能量存在不守恒问题。所提出的修正模型能够满足闭合应力路径的能量守恒,且能更好地拟合三轴试验弹性应力–应变关系。

英文摘要：

Starting from the unloading-reloading modulus and bulk modulus of Duncan-Chang E-B model,elastic component of Gibbs free energy function for soils is formulated based on the thermodynamic principle.Then the incremental stress-strain relationship is obtained by use of the Legendre transformation.The compliance matrices are modified by applying thermodynamic approach,accordingly,the coupling item between elastic volumetric stress（or strain） and elastic deviatoric strain（or stress） behavior is produced.Besides,the material behavior is modeled as elasticity with additional dilatancy term in the bulk modulus due to shear modulus dependent on pressure.In the conventional elastic constitutive model of soils,it is known that there is no relation between shear behavior and dilatancy.The computational results of several closed-loop stress paths indicate that,elastic strain energy non-conservation will be created without consideration of the coupling item.However,the proposed modified model can accurately model elastic component of stress and strain relationship curve of triaxial test.At the same time,energy conservation can be accomplished in a closed stress cycle in the model.