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根据多相连续介质力学理论，建立了有限应变下煤与瓦斯突出的两相介质相互耦合作用的失稳理论和数学模型，从热力学第二定律出发，以应力的二阶功最小原理作为煤与瓦斯突出的发生的准则，它包括小变形统一失稳判据。通过对典型突出模拟实验模型进行数值计算，验证了本文所提出的理论及模型。
According to the theory of multiphase continuum mechanics, the instability theory and mathematical model of mutual coupling between coal and gas outburst under finite strain are established. Starting from the second law of thermodynamics, the second principle of stress The criterion of occurrence of gas outburst includes the unified criterion of small deformation. Through the numerical simulation of the typical salient simulation experiment, the theory and model proposed in this paper are validated.