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基于宏细观损伤的注浆岩体本构模型

Constitutive Model for Grouted Rock Mass by Macro-Meso Damage.

作者信息

Liu Yang, Wang Yingchao, Zhong Zhibin, Li Qingli, Zuo Yapeng

机构信息

State Key Laboratory of Intelligent Construction and Healthy Operation & Maintenance of Deep Underground Engineering, China University of Mining Technology, Xuzhou 221116, China.

State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, Chengdu University of Technology, Chengdu 610059, China.

出版信息

Materials (Basel). 2023 Jul 6;16(13):4859. doi: 10.3390/ma16134859.

DOI:10.3390/ma16134859
PMID:37445173
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10343746/
Abstract

Rock fractures have a significant impact on the stability of geotechnical engineering, and grouting is currently the most commonly used reinforcement method to address this issue. To ensure the stability of grouted rock mass, it is necessary to study its deformation law and mechanical properties. In this study, theoretical analyses and laboratory experiments were conducted, and the fracture width, Weibull model and effective bearing area were introduced to improve the applicability and accuracy of the original damage constitutive model. Moreover, the constitutive model of grouted rock mass was derived by combining it with the mixing law of composite materials. The main conclusions are summarized as follows: (1) Based on macroscopic damage tensor theory, the fracture width parameter was introduced, which effectively described the variation law of macroscopic damage with fracture width to improve the accuracy of the original damage constitutive model. (2) The effective bearing area was used to optimize the original Weibull model to match the stress-strain curve of the rock mass with fractures. (3) The grouting-reinforced rock mass was considered to be a composite material, the original equivalent elastic modulus model was improved by combining macroscopic damage with the Reuss model, and the constitutive damage model of the grouted rock mass was deduced.

摘要

岩石裂隙对岩土工程稳定性有重大影响,注浆是目前解决该问题最常用的加固方法。为确保注浆岩体的稳定性,有必要研究其变形规律和力学性能。本研究进行了理论分析和室内试验,引入裂隙宽度、 Weibull 模型和有效承载面积,以提高原损伤本构模型的适用性和准确性。此外,将其与复合材料混合律相结合,推导了注浆岩体的本构模型。主要结论总结如下:(1)基于宏观损伤张量理论,引入裂隙宽度参数,有效描述了宏观损伤随裂隙宽度的变化规律,提高了原损伤本构模型的精度。(2)采用有效承载面积对原 Weibull 模型进行优化,使其与含裂隙岩体的应力 - 应变曲线相匹配。(3)将注浆加固岩体视为复合材料,通过将宏观损伤与 Reuss 模型相结合对原等效弹性模量模型进行改进,推导了注浆岩体的本构损伤模型。

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Construction of Discrete Element Constitutive Relationship and Simulation of Fracture Performance of Quasi-Brittle Materials.
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