Capturing the Turning Hook of Stress-Dilatancy Curve of Crushable Calcareous Sand

For crushable calcareous sand, the stress-dilatancy curve has a significant turning hook around peak stress ratio, contains main features of loading process, including phase transformation point and ratio point. However, more than half this hook, i.e., line after point, is usually ignored by known models. It difficult to directly establish model with such characteristics, since demonstrates that dilatancy not single-valued function ratio. Based on first law thermodynamic, we related breakage energy. Then, mapped energy from stress-energy plane strain-energy avoid non-single-valued problem. was conveniently established. Compared other four existing models, benefit our modeling process it can easily capture curve. Our also verified simulating colloidal-silica-stabilized MICP-stabilized sands, as well three types respectively.