Energy dissipation analysis for large-strain cylindrical cavity expansion problem in cohesive-frictional soils

• Published in: Applied mathematical modelling 2022-11, Vol.111, p.681-695
• Main Authors: Li, Chao, Mo, Pin-Qiang
• Format: Article
• Language: English
• Subjects: Cohesive-frictional soils; Cylindrical cavity expansion problem; Energy dissipation analysis; Large-strain
• ISSN: 0307-904X
• DOI: 10.1016/j.apm.2022.07.015

•The large-strain solution is obtained considering the effect of the intermediate principal stress.•The energy dissipation solution with logarithmic plastic strain in the plastic region is derived.•The energy dissipation method of cavity expansion eliminates the limitation of cohesionless soils. This work presents an energy dissipation analysis for large-strain cylindrical cavity expansion problem in cohesive-frictional soils. Based on the unified strength criterion and the non-associated flow rule, the process of cavity expansion in cohesive-frictional soils is regarded as an energy conversion problem. The energy dissipation solution for large-strain cylindrical cavity expansion is obtained by introducing the energy dissipation mechanism into the conventional cylindrical cavity expansion analysis. Subsequently, the effects of the intermediate principal stress, elastic deformation and large-strain in the plastic region are considered in proposed solution. Finally, according to the comparisons of the results of the stress distributions and non-dimensional expansion pressure with those in the published literature, the validity and reliability of the theoretical method are proved. The results show that the non-dimensional expansion pressure increases with the increase of the coefficient of intermediate principal stress, the stiffness of the response increases with the increase of the dilation angle, and most of the work done by the external force is transformed into the energy in the plastic region.