Elastic analysis and design of circular horizontal frozen wall based on interaction between frozen wall and surrounding rock

For the purpose of obtaining the law of stress-displacement distribution in circular horizontal frozen wall un- der non-uniformly distributed load,a mechanical model,conformed to the practical construction situation,was estab- lished,considering the interaction between frozen wall and surrounding rock,and the influence of unloading during ex- cavation. Its elastic analytical expressions of stress and displacement were deduced by complex function method. The thickness design of frozen wall based on Tresca and Mises yield criterion were discussed. The results show that the rati- o of elasticity modulus between frozen wall and surrounding rock (β),the diameter ratio of frozen wall (ξ),and lateral pressure coefficient (λ) have remarkable effects on stress and displacement in frozen wall and surrounding rock. The greater the β,the greater the pressure difference between the inner and outer surface of frozen wall,the higher the max- imum shearing stress in 45 degrees. β and ξ have reciprocal effect on the stress and displacement of frozen wall,the in- fluence of ξ becomes greater with the growth of β,after ξ>2. 4,the influence of β and ξ decrease;while 0. 4