Different tensile tests on difference of strength of frozen soils

The tensile strength of frozen soils is an important index in engineering design. In the tests, it is found that the uniaxial tensile strength of frozen soils is inconsistent with the four-point bending tensile strength. For this reason, the mesoscopic numerical method, assuming that the parameters of mesoscopic materials conform to the Weibull distribution, and the damage model are adopted. The properties of macroscopic materials conform to the linear elastic hypothesis. The uniaxial tensile tests and the four-point bending tensile tests are simulated respectively. By introducing the theory of non-localization, it is explained that the strength difference comes from the homogeneity of the materials, and the relationship between the characteristic length of the materials and the homogeneity is quantitatively given. It provides a theoretical basis for measuring the tensile strength of frozen soils and designing the frozen soils.