Investigation into the nonlinear damage model of coal containing gas

摘要

Taken the nonlinear deformation property of coal into considering, the nonlinear constitutive equation was founded. And considering the compressible property of gas, the idea of compressive energy of gas was introduced. Based on the continuous damage theory and mesoscopic damage theory, assumed that the damage variable has a power function relation with the porosity, applied the thermodynamics conservation laws, one new nonlinear damage constitutive model of coal containing gas was deduced and obtained, and the rationality of the new model was proved through the former experimental results. This model can provide theoretical reference for understanding and solving these dynamic gas disasters such as the outburst of coal and rock. And through this theory, the prevention measures will be applied to deal with the dynamic gas disasters according to changing mining conditions.