Sandstone is different from pure brittle rocks such as marble and granite. Its brittleness weakens and then increases with increasing confining pressure. This paper establishes a calculation model of the “brittleness-ductility” energy drop coefficient that characterizes the whole process of sandstone failure from the perspective of energy. The obtained result was compared with the result of traditional calculation model. The results show that the established model is more consistent with the experimental phenomenon and can describe the whole process of sandstone failure more precisely at a macro level. Moreover, the model is more practical since it avoids the tedious integration calculation process. The model and tests have extended the applicable range and applied rock types of the energy drop coefficient and enriched the knowledge system of elastoplastic mechanics. At the same time, they carry important significance for environmental restoration and geological disaster prevention and control in sedimentary rock mining zones, which can promote the sustainable development of related industries in the mining zones.

中文翻译：

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计算矿区砂岩“脆性-延性”掉落系数的数学模型

砂岩不同于诸如大理石和花岗岩的纯易碎岩石。它的脆性减弱，然后随着围压的增加而增加。本文建立了“脆性-延性”能量下降系数的计算模型，该模型从能量的角度描述了砂岩破坏的全过程。将所得结果与传统计算模型的结果进行比较。结果表明，所建立的模型与实验现象更加吻合，可以在宏观上更精确地描述砂岩破坏的全过程。而且，该模型更加实用，因为它避免了繁琐的积分计算过程。该模型和试验扩展了能量下降系数的适用范围和适用的岩石类型，丰富了弹塑性力学的知识体系。同时，它们对于沉积岩矿区的环境恢复和地质灾害的防治具有重要意义，可以促进矿区相关产业的可持续发展。