STRESS CONCENTRATION ANALYSIS IN ROCK PILLARS IN THE FRAMEWORK OF NON-LOCAL ELASTIC MODEL WITH STRUCTURAL PARAMETER
V. I. Altukhov1, S. V. Lavrikov2, A. F. Revuzhenko2
1Novosibirsk National Research State University, Novosibirsk, Russia
2Chinakal Institute of Mining, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Keywords: Породный массив, целик, концентрация напряжений, структура, нелокальная модель, локальный изгиб, численный расчет, Rock mass, pillar, stress concentration, structure, non-local model, local bend, numerical calculation
Abstract
The model of linear elastic theory with structural parameter has been used in present paper. In plane formulation, the constitutive relationship system consists of five independent equations, whereas there are only three equations in classical elasticity theory. Two remaining equations are implicitly contained in the postulate of diffeomorphism-an assumption about smoothness of displacement field. Refusing the postulate of diffeomorphism introduces a structural parameter in the model-macrodeformations which depend on stresses and second derivatives of stresses with respect to coordinates. The boundary value problem of pillar deformation taking into account the influence of surrounding rock mass has been formulated and numerically solved.
|
