Abstract: The mathematical expression of wallrock stress field and displacement filed considering time-sensitivity is established based on visco-elastic theory by applying analytical method and Laplace transformation.The analytical solution of the wall rock stress field and displacement field under the highly stressed bolting support is deduced by the displacement and stress boundary conditions.The engineering practice shows that during tunneling, the bolt-shotcreting can effectively control the wallrock stability and the change in the stress field and displacement field of supported wallrock tends to become stable with time, verifying theoretically the rationality and science of the analytical solution.

Key words: Highly-prestressed anchor, Viscoelastic theory, Laplace transform, Time-sensitivity