Non-orthogonal Elastoplastic Model for Soil in Unsteady Water Environment
摘要
The state of water and air in the soil pores can be characterized through the water environment conditions in which the soil is located. Under the unsteady water environment, the water environment may change with the mechanical behaviour or other external factors. Variations in the water environment state cause the occurrence of deformation or the changes in the stress state. The constitutive model of unsaturated soil can be used to describe the mechanical behaviour of soil in the unsteady water environment. The constitutive model of unsaturated soil consists of two aspects: the mechanical constitutive relation and the hydraulic constitutive relation. For the determination of the mechanical constitutive relation, the basic constitutive variables are first selected to describe the stress state and the hydraulic state. Then, the isotropic compression behaviour under saturated and unsaturated conditions is determined, and the loading-collapse yield function is derived by taking the suitable hardening parameter. Finally, the mechanical constitutive relation under general stress conditions is obtained by combining the loading-collapse yield function with a constitutive model of saturated soil. The establishment of the hydraulic constitutive relation requires to capture the hydraulic hysteresis and the effect of the mechanical behaviour on the hydraulic behaviour. This chapter presents a new modeling approach to describe the mechanical behaviour of soil in the unsteady water environment from the perspective of material parameters and stress state changing with the water environment. Based on a non-orthogonal elastoplastic constitutive model of saturated soil, a non-orthogonal elastoplastic constitutive model for soil in the unsteady water environment is provided by determining the specific form of the unknown elements. Then, the constitutive relation of soil in the unsteady water environment is presented by the calculation of total strain increment. The capability of the proposed model to capture the mechanical behaviour for soil in the unsteady water environment is validated by simulating test results. Three typical paths of unsaturated soil are adopted to demonstrate the performance of the proposed model.