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基于能量耗散的岩石损伤特性及其模型研究

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为有效预防岩体高能级工程地质灾害的发生,基于能量耗散理论,提出考虑预设围压效应的耗散能函数表达式,推导由威布尔分布函数、能量耗散函数构成的考虑预设围压效应的损伤变量应力-应变数学表达式,构建基于修正后能量耗散函数的煤岩损伤本构模型.结果表明:不同试验围压下煤岩能量变化随轴向应变的增加其演化模式相似,煤岩的能量转化在不同的损伤变形破坏阶段呈阶段性变化;不同围压条件下煤岩损伤变量的变化趋势随轴向应变的增大总体上呈指数增长,均经历了从缓慢增长到快速增长阶段;所构建的基于修正后能量耗散函数的损伤本构模型与试验值具有较高的匹配度,能够较为准确地表征煤岩损伤变形特性;煤岩变形破坏过程中的能量储存及耗散与其损伤状态密切相关,表征煤岩损伤劣化程度的损伤变量与能量耗散之间总体上呈幂函数增长趋势.
Study on Rock Damage Characteristics and Model Based on Energy Dissipation
In order to effectively prevent the occurrence of high energy engineering geological disasters of rock mass,based on the energy dissipation theory,the mathematical expression of the dissipated energy considering the preset confining pressure effect is proposed,and the mathematical expression of the damage variable stress-strain composed of Weibull distribution function and energy dissipation function considering the preset confining pressure effect is derived,and the coal rock damage constitutive model based on the modified energy dissipation function is constructed.The results show that the energy variation of coal rock under different confining pressures has a similar evolution pattern with the increase of axial strain,and the energy transformation of coal rock shows a phased change in different damage deformation and failure stages;the damage evolution of coal rock under different confining pressure conditions has experienced a stage from slow growth to rapid growth,and the change trend of damage variables increases exponentially with the increase of axial strain;the damage constitutive model based on the modified energy dissipation function has a high matching degree with the experimental values,and can accurately characterize the damage deformation characteristics of coal rock;the energy storage and dissipation in the deformation and failure process of coal rock are closely related to the damage state;the damage variable representing the degree of damage and deterioration of coal rock and the energy dissipation generally show a power function increasing trend.

coal rockenergy characteristicsdeformation and failuredamage characteristicsconstitutive model

张尧、王斌、李建华

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贵州警察学院,贵阳 550005

煤炭科学技术研究院有限公司,北京 100013

深圳大学土木与交通工程学院,广东深圳 518061

煤岩 能量特征 变形破坏 损伤特性 本构模型

2025

煤炭技术
黑龙江科技学院 哈尔滨煤矿机械研究所

煤炭技术

影响因子:0.48
ISSN:1008-8725
年,卷(期):2025.44(1)