巴西圆盘劈裂试验中拉伸模量的解析算法

 提出巴西圆盘劈裂试验中拉伸模量的解析算法。结合圆盘对心受力的理论弹性解和实际试验过程中便于测量的物理参数，基于微积分的原理，通过对试样中心垂直加载方向上每一点拉应变的积分，可以得到该方向上总的变形量，进而推导出岩石拉伸模量和总位移变形量之间的定量关系式。该关系式包含加载力、试样直径、试样厚度、岩石泊松比和试样中心垂直加载方向上总位移变形量5个物理量，其意义明确，运用简便，可为求解巴西劈裂试验拉伸模量提供一种新的方法。

ANALYTICAL ALGORITHM TO ESTIMATE TENSILE MODULUS IN BRAZILIAN DISK SPLITTING TESTS

An analytical algorithm to estimate the tensile modulus of Brazilian disk splitting tests is presented. Combined with the theoretical elastic solution of disk on cardiac force and the physical parameters obtained in actual measure of experiments，the total displacement of deformation on the direction of the vertical load direction can be obtained by the integral of strain of every point on this direction based on the principle of calculus；and the quantitative relationship between tensile modulus of rock specimen center and the total displacement of deformation on the direction of the vertical load is derived. Five physical parameters，including the loading power，sample diameter，sample thickness，rock Poisson's ratio and the total displacement of deformation on the direction of vertical load direction，are used in this quantitative relationship. This quantitative relationship has a clear meaning and easy to use；and it can provide a new approach to estimate the tensile modulus in Brazilian disk splitting tests.