Abstract
The common failure forms in the uniaxial compression test of standard cylindrical rock specimens are symmetric cone failure and splitting failure. In the past, two kinds of failure forms were explained from the plane problems of elasticity theory. However, there was a lack of research based on space problems. In this paper, based on spatial axisymmetric elastic mechanics theory, three-dimensional stress function is constructed for the cylindrical rock specimen under uniform axial compression by adopting the semi-inverse method. According to the stress function, the stress components and the principal stress are deduced when considering the end effect. The failure form is speculated, which can well explain the two common types of damage in uniaxial compression. This work may enrich the basic research of rock mechanics.
Highlights
Uniaxial compression experiment is the most common type of experiment to understand the mechanical properties of certain kinds of rocks
Some researchers tried to use the theory of elastic mechanics to derive the stress function
Most of them are confined to the two-dimensional space, and most of the three-dimensional stress functions used to solve the rock-related problems are only based on fuzzy theoretical reasoning [1, 2], which lacks the applicability extension
Summary
Uniaxial compression experiment is the most common type of experiment to understand the mechanical properties of certain kinds of rocks. It is believed that the failure mechanism is related to the end effect of the compression head of the testing machine. In this paper, based on further derivation on the theory of spatial axisymmetry [3,4,5], the three-dimensional stress function and stress components of a standard cylindrical rock specimen under uniform axial load will be given on the basis of reference to predecessors’ experience [6,7,8,9,10,11,12], and the destruction mechanism of uniaxial compression will be explained, which can well explain the two common types of failure in uniaxial compression. In this paper, based on further derivation on the theory of spatial axisymmetry [3,4,5], the three-dimensional stress function and stress components of a standard cylindrical rock specimen under uniform axial load will be given on the basis of reference to predecessors’ experience [6,7,8,9,10,11,12], and the destruction mechanism of uniaxial compression will be explained, which can well explain the two common types of failure in uniaxial compression. is work may enrich the basis research of rock mechanics
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