Abstract：With the increase of mining depth of a lot of coal mines，exerted by the high in-situ stress，the surrounding rocks in openings is fractured frequently. At the same time，the region of the cracked surrounding rocks enlarges；and the surrounding rocks re-crack. For a long and circular mine opening，the surrounding rocks are divided into three regions，i.e. the cracked region，the plastic region and the elastic region. With Mohr- Coulomb yield criterion，the mechanical behavior of the surrounding rocks is simulated by an elastoplastic model. The closed-form analytical solutions for the stress，strain and displacement in the three regions are derived in a theoretically consistency way by using a non-associated flow rule. According to the conditions that the stresses are continuous at the elastoplastic interface and that the radial strains are continuous at the plastic-cracked interface，the computational formulae to determine the radii of cracked and plastic regions are obtained. Finally，an example is analyzed to show the characteristics of stress and strain distributions in the cracked and plastic regions and the influence of cracked region radius on them. It provides theoretical foundations for the stability analysis of mine openings and reinforcement of the cracked surrounding rock.
