The results show that the density obtained using the viscoelasticity constitutive model is consistent with the experimental result reported in literature.

The shale deformation of a given dam is the main issue of the study on underground openings and high slope, so it is important to discuss the viscoelastical constitutive model of the shale.

Then we can get the math model of the two kind of constitutive models' heat-mechanics coupling problem by using the balance equation, the heat exchange equation and the constitutive equation.