Statistic Damage Constitutive Model of Loessial Soil Considering Damage Threshold

Abstract

The damage mechanism of loessial soils was studied by the statistical theory.Based on the characteristics strength of loessial soils micro-unit with Weibull distribution, and parameters that described by distribution variable of Drucker-Prager creterion are used, loessial soils damage constitutive model considering damage threshold is established to reflect the full process of loessial soils failure. Conventional triaxial consolidation undrained shear test results of loessial soils are taken as example to verify the model. By comparing theoretical calculation results with test results, it is showed that the statistical damage constitutive model considering damage threshold is reasonable.

Structural Strength Deterioration Characteristics and a Model of Undisturbed Loess under the Action of Wetting and Freeze‐Thaw Cycles

“…In recent years, Wang et al [55] and Li et al [56] used the statistical method to describe rock evolution (initiation, growth, and coalescence) from damage to fracture with a continuous process and proposed a damage-softening statistical constitutive model for rock according to the Weibull distribution of mesoscopic element strength. Xie et al [57] also established a loessial soil damage constitutive model based on the strength of loessial soil microunits with a Weibull distribution. Lai et al [58] investigated the strength distribution patterns for warmed frozen clay and warmed ice-rich frozen clay based on the characteristics of the random distribution of defects in both clays.…”