ANALYTICAL ALGORITHM TO ESTIMATE TENSILE MODULUS IN BRAZILIAN DISK SPLITTING TESTS
GONG Fengqiang1,2,LI Xibing1,ZHAO J2
(1. School of Resources and Safety Engineering,Central South University,Changsha,Hunan 410083,China; 2. Rock Mechanics Laboratory,Swiss Federal Institute of Technology Lausanne(EPFL),Lausanne CH–1015,Switzerland)
Abstract: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.