Dynamic statistical damage constitutive model based on the Hoek–Brown criterion at high strain rates

IF 2.2 3区 工程技术 Q2 MECHANICS
Yongan Ma, Chong Yu, Haibo Li, Changjian Wang
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引用次数: 0

Abstract

Dynamic damage constitutes a significant factor influencing engineering safety. Constitutive models predicated on statistical distribution demonstrate a capability in accurately representing the dynamic failure process of rocks. This study employs the high-strain-rate Hoek–Brown criterion to delineate the strength characteristics of rock microelements, subsequently establishing a novel dynamic statistical damage constitutive model based on statistical damage theory. Firstly, the model’s validity was corroborated using test data from different rocks (sandstone, granite, and marble) under varying confining pressure conditions. Subsequently, the influence of parameters F0 and m on the stress–strain curve was discussed. Finally, the relationships between the Hoek–Brown criterion parameters (\(\sigma_{{c\dot{\varepsilon }}}\), \(m_{{\dot{\varepsilon }}}\)) and the strain rate for different rocks were analyzed. The findings suggest that the model effectively characterizes the stress–strain relationship during the dynamic failure process.

基于高应变率下霍克-布朗准则的动态统计损伤构成模型
动态破坏是影响工程安全的一个重要因素。以统计分布为基础的构造模型能够准确地反映岩石的动态破坏过程。本研究采用高应变速率的 Hoek-Brown 准则来描述岩石微元的强度特征,并在此基础上建立了基于统计损伤理论的新型动态统计损伤构成模型。首先,利用不同岩石(砂岩、花岗岩和大理岩)在不同约束压力条件下的测试数据来验证模型的有效性。随后,讨论了参数 F0 和 m 对应力-应变曲线的影响。最后,分析了霍克-布朗准则参数(\(\sigma_{c/dot{/varepsilon }}}\ )、\(m_{{c/dot{/varepsilon }}} )与不同岩石应变率之间的关系。研究结果表明,该模型有效地描述了动态破坏过程中的应力-应变关系。
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来源期刊
CiteScore
4.40
自引率
10.70%
发文量
234
审稿时长
4-8 weeks
期刊介绍: Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.
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