Abstract: Constitutive equation of damaged coal and rock mass under condition of mining fissure field of two-dimensional plane and three-dimensional space is derived using damage mechanics, material mechanics, mining rock mass mechanics and principle of mass transfer and so on. Stress changes and its relations with the damaged coal and rock mass are revealed, and it provides reference for coal rock and gas coupling study.

Key words: Fracture field, Damaged coal and rock, Constitutive equation