Abstract: On the basis of the microscopic mechanics of compositematerial, an elastic constitutive model for frozen soil containing damage ispresented. For the frozen sand soil with different ice contents and underdifferent temperature conditions, the result calculated by the constitutivemodel agrees with the actually measured stress-strain curve. Afternumerically simulating the coupled problem of water, temperature and stressfields of channel frozen and frozen soil foundation by means ofa program, a more accurate and practical temperature field isobtained, which is consistent with the prediction and tests inliterature. It is shown that relatedphysical properties of frozen soil and a quantitativerelationship between them can be obtained.