Screen external squeezing pressure calculation and analyses are essential for screen strength verification and optimization design as well for wells that is gravel packed, especially for heavy oil wells located in unconsolidated formation. The problem hasn′t been solved since the lack of relevant analytical model. Thermal expansion and contact stress are constraints among screen and gravel contact surface and a simplified model for internal radius of the gravel and external radius is proposed in this paper. Then, Lame equation is introduced in order to figure out the relationship between screen external squeezing pressure and contact surface displacement. Coupling model and corresponding chart method are raised, which is convenient for screen external squeezing pressure calculation. It is proved by numerical simulation that screen-gravel surface movement is about 1.855 mm with relevant 17.78 MPa screen external squeezing pressure under 350 ℃ bottom hole temperature and 300 ℃ temperature rising. The research findings can provide a basis for screen strength verification and gravel operations under thermal conditions.