Stress-Strain Behavior of Rocks from the Measurements of Vectors of the Cauchy Stresses and Displacements at the Boundary of an Underground Excavation
A. I. Chanyshev1,2, I. M. Abdulin1
1Chinakal Institute of Mining, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630091 Russia
2Novosibirsk State University of Economics and Management, Novosibirsk, 630099 Russia
Keywords: Overspecified problem, stresses, strains, rotation vector components
Abstract
The authors construct an exact solution to the problem on the stress-strain behavior of rock mass at the boundary of an underground excavation of an arbitrary geometry if the vectors of the Cauchy stresses and displacements are assigned simultaneously at this boundary. All explicit components of stress and strain tensors, as well as the components of rotation vector are determined as functions of the elastic characteristics of rocks, values of the preset functions and differential properties of the boundary.
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