非线性法向变形节理对弹性纵波传播的影响

从波的弹性位移出发，推导线性位移不连续模型，然后引入等效位移假设，建立节理非线性位移不连续模型。依据所建立的非线性模型，获得垂直入射纵波在非线性法向变形节理处传播的透射和反射系数的解析解。利用该解析解，研究节理初始刚度、节理闭合量与允许闭合量的比率以及入射波频率对节理透反射系数的影响，并与已有的数值计算结果进行比较，两者吻合很好。

EFFECTS OF SINGLE JOINT WITH NONLINEAR NORMAL DEFORMATION ON P-WAVE PROPAGATION

The linear displacement discontinuity model is derived from elastic displacement functions of wave, and then a nonlinear displacement discontinuity model is established by introducing the equivalent displacement hypothesis. Based on the established model, the analytic resolution of transmitted and reflected coefficients is obtained when the normal incident P-wave propagates to the nonlinear normal deformative joint. The effects of parameters such as initial joint stiffness, quantitative ratio of joint closure to allowable joint closure and incident frequency of wave on transmitted and reflected coefficients are investigated. By comparison with the published numerical results, it is found that the analytic results agree well with the numerical calculations.