Abstract:The stress distribution of rectangular rock under split loads is an important research topic of rock mechanics. The formula of rectangular specimen tensile stress under splitting loads can be deduced by the Fourier series solution of the elastic plane problem. To compare the theoretical solution and the finite element solution, a dimensional finite element model of the rectangular specimen is built under the same loading conditions. The stress distribution and the impact of the width of spacer and the width to length ratio are analyzed. It is shown that results of the theoretical solution and the finite element solution are consistent. The maximum tensile stress does not appear in the center of the specimen but in a certain point with coordinates. The maximum tensile stress decreases with the increasing of the width of spacer and the width to length ratio b/a. The tensile stress distribution patterns of cylindrical specimen and square specimen are consistent, but the tensile stress of the square specimen is greater than that of the cylindrical specimen. It is proved that the splitting stress distribution of rectangular rock obtained by the Fourier series analysis method is consistent with the rock-like material splitting experimental results.
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