微波照射下花岗岩损伤演化规律及本构模型研究

戴俊 任一平 杨凡

摘 要：为进一步分析微波破岩机理，对微波照射下硬岩损伤演化规律及其本构行为进行了研究。首先，对岩石进行弹性微元假设，结合微元强度准则和三参数Weibull分布，推导出微波作用后硬岩损伤演化方程和本构模型以及各参数确定公式，然后，采用不同微波功率照射后的花岗岩超声波检测和单轴压缩试验结果对模型进行验证。结果表明，建立的模型理论曲线与试验曲线具有较高的吻合度，能反映出花岗岩破裂的应力应变过程，且模型各参数的物理意义及对模型的影响规律明确，虽然峰后拟合存在一定偏差，但仍可以基本反映岩石经微波照射后的弱化规律。对经微波照射后的岩石本构方程进行深入研究，可为微波照射岩石的相关计算和数值模拟提供一定的参考，有助于促进微波辅助破岩技术的发展。

关键词：地下工程;微波照射;花岗岩;Drucker-Prager准则;损伤演化;本构方程

中图分类号：TU521.2   文献标识码：A

doi：10.7535/hbkd.2021yx05002

收稿日期：2021-07-29;修回日期：2021-09-01;责任编辑：冯 民

基金项目：国家自然科学基金（51174159）;陕西省自然科学基础研究计划项目（2017JQ5069）;陕西省教育厅专项科学研究基金（15JK1471）

第一作者简介：戴 俊（1964—），男，陕西西安人，教授，博士，主要从事岩土工程方面的研究。

通讯作者：任一平。E-mail：853092360@qq.com

Damage evolution law and constitutive model of granite under microwave irradiation

DAI Jun，REN Yiping，YANG Fan

（School of Architectural and Civil Engineering，Xi′an University of Science and Technology，Xi′an，Shaanxi 710000，China）

Abstract：In order to further analyze the mechanism of microwave rock breaking，the damage evolution law and constitutive behavior of hard rock under microwave irradiation were studied.Firstly，the elastic micro element hypothesis of rock was carried out，and by combining with the micro element strength criterion and three parameter Weibull distribution，the damage evolution equation，constitutive model and parameter determination formula of hard rock after microwave irradiation were derived.Then，the model was verified by ultrasonic testing and uniaxial compression test results of granite irradiated with different microwave power.The results show that the theoretical curve of the model is in good agreement with the experimental curve，which shows that the model can reflect the stress-strain process of granite fracture，and the physical significance of the parameters of the model and the influence law on the model are clear;there is a certain deviation in the fitting after the peak，but the model can still basically reflect the weakening law of rock after microwave irradiation.The in-depth study of the rock constitutive equation after microwave irradiation can provide some reference for the related calculation and numerical simulation of microwave irradiated rock，and improve the development of microwave-aided rock breaking technology.

Keywords：

underground engineering;microwave irradiation;granite;Drucker-Prager criterion;damage evolution;constitutive equation

现阶段土木工程发展进程中出现了许多破岩方法，其中爆破破岩法和机械切割法[1-5]最为常用，但2种方法都有各自的局限性。通過阅读文献[6-7]可知，微波辅助机械破岩法具有较好的前景，微波能量适中，容易控制，且岩石经微波照射后损伤效果明显，能有效降低岩石强度，结合机械切削能有效弥补纯机械切割法存在的缺陷。……