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基于弹性张量离散化的脆延转变本构模型研究

A brittle-ductile transition constitutive model based on discrete elastic tensors
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摘要 外部荷载作用下的裂隙扩展在空间上一般是非均匀的,引起岩石材料的衍生各向异性。将材料离散成大量随机分布的由力键连结的物质点,基于力键的方向性,且将局部弹性张量离散成一定数量的方向张量,理论推导出力键模量与宏观弹性参数之间的关系。通过考虑力键断裂效应,建立了各向异性弹性损伤本构模型。为了模拟中等孔隙率岩石在常规三轴压缩试验中脆性向延性转变的力学行为,在力键断裂效应中引入损伤抑制函数。通过模拟Tennessee大理岩和Indiana石灰岩的常规三轴实验,并与试验数据对比,验证了模型的合理性和有效性。 The crack propagation under external load is generally non-uniform in space,which causes derivative anisotropies of the material.In this context,rock materials can be discretized into a large number of randomly distributed material points connected by force bonds.Based on the directionality of the force bonds,the local elasticity tensor is discretized into a certain number of directional tensors,and the relationship between the force bond modulus and the macroscopic parameters is deduced theoretically.An anisotropic elastic damage constitutive model is developed by considering the fracture effect of the force bonds,In order to simulate the mechanical behavior of brittle to ductile transition of medium porosity rocks in conventional triaxial compression tests,a damage suppression function is introduced into force bond fracture effect.The rationality and effectiveness of the model are verified by simulating the conventional triaxial experiments of Tennessee marble and Indiana limestone and comparing with the experimental data.
作者 范运辉 朱其志 倪涛 张坤 张振南 FAN Yun-hui;ZHU Qi-zhi;NI Tao;ZHANG Kun;ZHANG Zhen-nan(Geotechnical Engineering Research Institute,Hohai University,Nanjing,Jiangsu210098,China;Key Laboratory of Geomechanics and Embankment Engineering of Ministry of Education,Hohai University,Nanjing,Jiangsu210098,China;School of Naval Architecture,Ocean and Civil Engineering,Shanghai Jiaotong University,Shanghai200030,China)
出处 《岩土力学》 EI CAS CSCD 北大核心 2019年第A01期181-188,共8页 Rock and Soil Mechanics
基金 国家重点研发计划项目(No.2017YFC1501100) 国家自然科学基金项目(No.51679068)~~
关键词 弹性张量离散化 各向异性 岩体损伤 脆延转变行为 围压效应 discrete elastic tensors anisotropic rock damage brittle-ductile transition behavior effect of confining pressure
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