A brittle material such as rock deteriorates when subjected to freezing and thawing

it is generally observed that water phase transition due to temperature changing is the main reason of rock deterioration. Hydraulic pressure is generated by 9% volume increase of freezing water in closed crack. The pressure makes the crack expand and when the temperature rises

water moves to new cracks. The repeated cycles create new damage of rock. The freezing and thawing process of rock is also affected by a number of factors such as length of cracks

permeability

and heaving stress. The relationship between frost heave stress and crack extension length of a single fracture is established based on elastoplastic mechanics and fracture mechanics. Combined the equation of relationship between ice pressure and microcrack propagation length

the initial damage compliance tensor of the rock under the different freezing-thawing cycles can be calculated. According to the distribution of microcracks

the strain of rock induced by freezing-thawing can be decomposed into the initial damage strain

additional damage strain and plastic damage strain; and an elastoplastic damage model for rock under different number of freezing-thawing cycles is developed based on frictional sliding of pre-existing microcracks in this work. In the damage model

the plastic yield criterion of Drucker–Prager yield criterion is used simultaneously with the micromechanics damage model to simulate the inelastic deformation of rocks and Voyiadjis’ strain hardening function under compression; and it is used to define plastic behaviors of such materials. The calculated results show

the crack propagation length increases nonlinearly with increasing the crack and the compressive strength under different cycles of freezing and thawing. Finally

the applicability of the model is validated by freezing-thawing experiment

it is shown that the developed model can simulate the stress-strain curves under different of freeze-thaw cycles better.