LI Chao, MO Pin-qiang, LI Shu-chen. Large-deformation analysis of spherical cavity expansion problem
using energy theory[J]. 2023, 44(7): 2017-2027.
DOI:
LI Chao, MO Pin-qiang, LI Shu-chen. Large-deformation analysis of spherical cavity expansion problem
using energy theory[J]. 2023, 44(7): 2017-2027.DOI: 10.16285/j.rsm.2022.1142.
Large-deformation analysis of spherical cavity expansion problem
using energy theory
The constitutive relation of elasto-plastic zone is simulated by Mohr-Coulomb criterion (M-C)
and the theoretical solutions of cavity expansion pressure and energy dissipation are derived. Based on the assumption of spherical cavity expansion
combining with energy theory and non-associated flow rule
the process of cavity expansion is regarded as an energy conversion problem
and the large-strain energy dissipation analysis of cohesive-frictional soils is carried out. Firstly
the elastic zone is analyzed by a small-strain theory. Then
considering the effects of elastic deformation and large strain in plastic zone
the relationship among cavity expansion pressure
energy dissipation and radius is obtained. Compared with the published results
the effectiveness of the study is verified. Finally
the effects of elastic deformation and large strain in the plastic zone on cavity expansion pressure and energy dissipation are studied. The results show that the cavity expansion pressure increases with the increase of the dilatancy angle
and most of the work done by the external force is transformed into energy in the plastic zone. The dilatancy angle has a significant effect on the change of the plastic zone and the cavity expansion pressure. With the increase of dilatancy angle
the radius of plastic zone and the cavity expansion pressure increase significantly. The energy dissipation analysis provides a new analytical method and necessary theoretical basis for understanding of the mechanisms of grouting