【摘要】 主要讨论了应力变化如何影响各向异性介质中波速度的问题。推导了一般各向异性介质在初始应力下的Christoffel方程,得到介质中3种波的相速度和初始应力的关系表达式;通过实验数据验证了单轴应力能够诱导各向异性,当施加单轴应力时,速度在沿应力的方向增加最大,在垂直应力的方向增加最小,实验结果与理论推导一致;用Christoffel方程的数值解模拟在3种对称情况下的弹性各向异性介质中初始应力对波速度的影响。数值结果表明:初始应力对各向异性介质中波传播速度的影响,随着各向异性强度的增加而增大,而且速度越慢,影响越大。更多还原

【Abstract】 In this paper,the problem that how stress change inference the wave velocity of anisotropic media is discussed.Firstly,the Christoffel function about general anisotropic medium under initial stress is derived and the expression between phase velocity of three modeled wave and initial stress in the media is obtained.Experiment shows that uniaxial stress can induce anisotropy.When the media is loaded under uniaxial stress,wave velocity along the direction of the stress increase maximally,while increased minimally in the direction perpendicular to the stress,the experimental results coincide with the theory.Finally,under the condition of three kinds of symmetries,the inference caused by the initial stress to the wave velocity in elastic anisotropic media is modeled by the numerical solution of the Christoffel equation.The numerical results show that: the inference caused by the initial stress to the wave velocity in anisotropic media increase with the degree of anisotropy and slower the velocity is,the greater the inference will be.更多还原