Nonlinear Constitutive Equation for Green Sand Considering the Tri-axial Compression Behavior

The compression characteristics of green sand were investigated experimentally, including the squeezing and yielding during deformation. An expression was developed for the transient compression modulus of sand during compression. Based on the hypothesis put forward of the compression state, the differential equation for the nonlinear constitutive equation was deduced by introducing a move-yield potential function. The state constitutive equation under the tri-axial experiment is further studied according to the sand attributes, considering the differential form of Hooke‘s law and the Mohr-Coulomb condition. The related experiment data are applied to verify the proposed constitutive model of sand.     

松散型砂介质复杂本构关系的构建

利用侧限压缩试验，研究了松散型砂在侧限应力状态下的力学行为，描述型砂压实状态的物理量，提出了型砂的瞬时压缩模量与压缩状态相关的假设．基于增量形式的广义虎克定律，推导了压实过程中与型砂的等效应变和初始状态量相关的瞬时压缩模量的数学表达式．构建了侧限压缩试验条件下幂函数形式的型砂本构关系，研究了型砂的重要状态量紧实率与所构建的型砂本构模型之间的关系，并用试验数据对理论推导的计算结果进行验证，结果吻合较好．