Experimental research and numerical analysis of frozen soil based on endochronic theory

Based on the endochronic theory, the basic principle of the irreversible thermodynamics of continuum media was used to derive a new endochronic rheological constitutive equation of frozen soil by redefining the intrinsic times. The corresponding parameters in the endochronic equations can be determined by the method of the Matlab fitting. The solution, analysis and experimental validation of the new equations under uniaxial and triaxial stress were performed. The stress-strain curves of theoretical calculation are very consistent with the experimental results. Therefore endochronic theory, compared with plastic theory, can be used to avoid the determination of yield surface. Finally, by utilizing the constitutive relation, we discuss and analyze the numerical solutions of frozen roadbed. The results indicate that the endochronic theory has its extensive applicability.