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A new non-Euclidean dynamic model is proposed to investigate the zonal disintegration mechanism of isotropic rock masses around a deep spherical tunnel subjected to dynamic unloading.The defect parameter R is introduced to describe effects of micro-defects on the deformation and failure of the surrounding rock masses around a deep spherical tunnel.The non-Euclidean dynamic equation is established based on the deformation incompatibility.Then Laplace transformation and inverse Laplace transformation theory are applied to solve the non-Euclidean dynamic equations.The stress fields are obtained from the non-Euclidean dynamic equations and the boundary conditions.