Analysis of calculation models while solving geomechanical problems in elastic approach
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- Category: Mining
- Last Updated on 20 March 2019
- Published on 08 March 2019
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Authors:
O.M.Shashenko, Dr. Sc. (Tech.), Prof., orcid.org/0000-0002-7012-6157, Dnipro University of Technology, Dnipro, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
S.M.Hapieiev, Dr. Sc. (Tech.), Assoc. Prof., orcid.org/0000-0003-0203-7424, Dnipro University of Technology, Dnipro, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
V.G.Shapoval, Dr. Sc. (Tech.), Prof., orcid.org/0000-0003-2993-1311,Dnipro University of Technology, Dnipro, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
O.V.Khalymendyk, Cand. Sc. (Tech.), Assoc. Prof., orcid.org/0000-0002-1311-1135,Dnipro University of Technology, Dnipro, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Abstract:
Purpose. Tocarryout comparative analysis of results concerning determination of stress-strain state (SSS) of shallow mine workings using calculation models for problems in elastic approach.
Methodology. Rock mechanics methods; methods of analysis of the results of theoretical calculations and numerical experiments using FEM.
Findings. Algorithm to calculate SSS of rock mass, involving extended mine working, has been substantiated. Numerical experiment has demonstrated that to determine displacements within a mine working boundary it is required to consider plane strain state. It has been identified that the use of a plane stress state results in misinterpreted values of mine working boundary displacements to compare with accurate ones. The following basic conclusion has been made: it is possible to use adequate three-dimensional (i.e. spatial) problem while arranging relations according to certain rules to solve the considered problem with a calculation model of limited length as for the research subject.
Originality. Divergencehas been determined between extended mine working boundary displacements calculated using calculation models of a plane stress state (approximate analytical model), and those of a plane strain (accurate calculation model). It has been demonstrated that calculation of extended mine workings should involve analytical model of a plane deformation reflecting SSS of rock mass-mine working system adequately; otherwise, calculation errors may be more than 100 % for horizontal displacements, and 25 % for vertical ones.
Practical value. The obtained results make it possible to select reasonably calculation models for extended mine workings where support stiffness properties vary periodically. For instance, such mine workings are meant whose stability and deformability are provided by frame, anchor, combined frame-anchor, complete reinforced-concrete, reinforced equally distanced sequences of anchors, and similar support structures.
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