基于混合物理论的含瓦斯煤本构方程

以混合物理论的Truesdell公设为基础，认为含瓦斯煤是由固相煤、游离相瓦斯和吸附相瓦斯组成的饱和混合物，采用理论推导的方法构建含瓦斯煤的本构方程.方程表明，含瓦斯煤的力学变形特性由各组分特性、瓦斯吸附解吸作用和煤体的孔隙分布共同决定.不同瓦斯压力条件下含瓦斯煤的应力-应变曲线表明：吸附瓦斯促使煤体产生膨胀变形，降低其弹性模量；围压也将对含瓦斯煤的弹性模量和变形产生重要影响.

Constitutive equations of coal containing methane based on mixture theory

Based on Truesdell's postulate of mixture theory,developed a new set of constitutive equations for saturated mixtures of coal containing methane which was composed of solid coal,adsorbed gas and free gas.The proposed constitutive equations show that mechanical properties of coal containing methane are determined by properties of coal constituents,coal pore distribution and adsorption/desorption characteristics of methane.Presented numerical results of stress-deformation diagrams with various pore pressures obtained from the proposed constitutive equations.The diagrams dedicate that adsorbed gas will cause coal to swell and result in elastic ratio to decrease,and that confining pressure also has important effect on elastic ratio and deformation of coal containing methane.