Soft soils exhibit significant time-dependent effects during long-term deformation. To precisely describe the long-term behavior of soft soils, it is necessary to employ elastoplastic theory and rheology principles for investigating the stress-strain relationship of the soils. In this paper, a super-subloading modified Cam-clay model is initially derived. Subsequently, by introducing the Kelvin model to describe the creep behavior of soils, and combining it with the modified Cam-clay model, an overconsolidated structural viscoelastic-elastoplastic model is further presented. After converting the equation into matrix form and programming it in Fortran, the proposed model is implemented by ABAQUS. Then, the accuracy of the developed model and program is verified through comparison with existing literature and experimental results. Finally, parametric analysis is conducted to explore the impact of viscoelasticity, structure, and overconsolidation on the responses of soft soils.
The lining and surrounding rock around tunnels constructed in cold areas exhibit nonuniform material properties due to the existence of a temperature field. This study considered the effects of these properties on the integrity of tunnel structures. By establishing an elastoplastic mechanical model, analytical solutions to the stress and displacement under five different elastoplastic states were derived and compared based on distinct yield criteria. The findings showed that with increasing relative radius, the displacement in the lining elastic zone initially decreased before increasing, whereas the shift in the plastic zone continued to increase. The displacement in the elastic zone of the frozen surrounding rock intensified with increasing relative radius, whereas the shift in the plastic zone experienced a gradual decline. The displacement of the inner wall of the lining was always greater than that of the outer wall, and this phenomenon occurred only after the frozen surrounding rock exhibited a plastic zone. The maximum displacements of the liner in its elastically limited and plastically limited states were 1.39, 1.77, 2.28, and 2.37 mm and 15.93, 25.51, 44.28, and 48.58 mm based on the Drucker-Prager (DP), Mohr-Coulomb (MC), Tresca, and double-shear strength criteria, respectively; the maximum limit displacements of the frozen surrounding rock were 12.74, 20.41, 35.43, and 38.87 mm and 85.32, 103.38, 569.23, and 680.43 mm, respectively. With increasing relative radius, the radial stresses within both the lining and the frozen surrounding rock intensified; and the tangential stress in the elastic zone of the lining decreased whereas the opposite change rule was observed in the plastic zone. The tangential stresses in the frozen surrounding rock and lining exhibited the same variation trend. Based on calculations with four distinct strength criteria, the elastic and plastic ultimate bearing capacities of the lining were 1.81, 2.31, 2.95, and 3.07 MPa, and 3.31, 4.84, 7.48, and 8.05 MPa, while those of the frozen surrounding rock were 8.52, 13.24, 22.17, and 24.18 MPa, and 16.76, 32.46, 74.15, and 85.64 MPa. In addition, with the expansion of the plastic zone, the phenomenon of a sudden change in the tangential stress at location r2 became progressively attenuated. The study findings can provide some theoretical guidance for the design and construction of tunnels in cold areas.
Immense liquefaction damage was observed in the 2011 off the Pacific coast of Tohoku Earthquake. It was reported that, in Chiba Prefecture, Japan, the main shock oozed muddy water from the sandy ground and the aftershock which occurred 29 min after the main shock intensified the water spouting; thus, the aftershock expanded the liquefaction damage in the sandy ground. For comprehending such a phenomenon, using a soil-water-air coupled elastoplastic finite deformation analysis code, a rise in groundwater level induced by main shock is demonstrated, which may increase the potential of liquefaction damage during the aftershock. The authors wish to emphasize that these results cannot be obtained without soil-water-air coupled elastoplastic finite deformation analysis. This is because the rise in groundwater level is caused by the negative dilatancy behavior (plastic volume compression) of the saturated soil layer which supplies water to the upper unsaturated soil layer, and it is necessary to precisely calculate the settlement of ground and the amount of water drainage/absorption to investigate the groundwater level rise. This study provides insight into the mechanism of ground liquefaction during a series of earthquakes.