ABOUT ONE ALTERNATIVE DIFFERENCE SCHEME OF NUMERICAL SOLUTION OF ELASTIC PROBLEMS OF DETERMINING ROCK MASS STRESS-STRAIN STATE
A. F. Revuzhenko, S. V. Lavrikov, O. A. Mikenina
Chinakal Mining Institute, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Keywords: Elasticity, constitutive equations, difference schemes, smoothness of functions
Abstract
The plane deformation of an elastic body should be described by five constitutive equations. Hook’s law contains only three equations. Two more equations are implicitly contained in the assumption of displacement field smoothness. In the paper a difference scheme is constructed to solve a plane elastic problem. The scheme is based on five constitutive equations and two difference meshes embedded in each other with a certain step. The numerical implementation of the scheme and examples of solving the boundary value problems are considered.
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