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鉴于节理法向变形的经典指数模型和双曲线(BB)模型的中应力水平加载阶段变形与部分试验结果存在偏离的不足,采用柔度变形法建立了节理法向加载非线性变形的新本构模型.讨论了节理在法向单调加载条件下变形基本规律,提出了完备的节理法向本构方程应满足的3个基本条件.分析指出基于应力变形坐标系的节理法向本构改进模型:统一指数模型和改进双曲线模型在数学上均是不完备的.选择柔度变形(Cn-u)坐标下介于双曲线和经典指数2种传统模型之间的单调递减柔度变形曲线,使其满足法向变形基本条件,建立了节理法向变形本构三参数模型.分析柔度变形曲线存在的两类主要形式,推导了节理法向变形g-δ本构模型和g-λ本构模型的具体数学表达形式,并初步分析了模型参数的取值范围及其相关地质影响因素.引用已有不同岩石节理法向变形试验数据,对2种本构模型验证分析表明:g-λ模型既可以适用于耦合节理法向变形又适用于非耦合节理法向变形,同时提出的节理法向变形g-λ模型较BB模型、经典指数模型及对数模型能更好地与试验结果吻合.
In view of the lack of deviation between the deformation of the classical index model of the normal deformation of the joint and the stress level loading phase of the hyperbolic model (BB) and the partial test results, a new constitutive model of the nonlinear deformation of the joint is established by using the soft deformation method Model.Finally, the basic laws of deformation under normal monotonic loading are discussed and three basic conditions that should be satisfied by the complete joint-to-static constitutive equation are proposed.It is pointed out that the proposed method based on stress- The unified exponential model and the improved hyperbolic model are both mathematically incomplete.Under the Cn-u coordinates, the monotone decreasing deformability curve between the two traditional models of hyperbola and classical index It satisfies the basic conditions of normal deformation and establishes a three-parameter model of the normal deformation of the joint.The two main forms of deformation curve are analyzed, and the g-δ constitutive model and the g-λ constitutive model are derived The specific mathematical expression of the model and preliminary analysis of the value range of the model parameters and the related geological influencing factors.According to the deformation data of different rock joints, The model verification analysis shows that the g-λ model can be applied both to the normal deformation of coupled joints and to the normal deformation of uncoupled joints. The proposed method also has better performance than the BB model, classical index model and logarithmic model Can better match with the test results.