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Modeling of Post-Failure Behavior of the Rock Mass and its Effect on the Stress-Deformation State in the Vicinity of a Mining Excavation

Marczak Halina

Advances in Science and Technology. Research Journal

2019

Vol. 13, no 2

130--140

The study investigated the impact of post-failure properties of the rock mass on the stress-deformation state in the vicinity of the underground excavation and the pressure exerted on the support. An analytical solution to the problem was presented, including the creation of inelastic zones in the vicinity of the excavation: ideal-plastic zone with residual strength and plastic zone with mild decrease of rock medium strength and taking into account the dilatancy. The analysis of the obtained dependencies was carried out using geotechnical parameters characterizing the Carboniferous rock mass of a hard coal mine. The influence of the plastic zone was determined with a mild decrease in strength to the state of stress, deformation and pressure on the rock mass support. The results of the considerations were compared with the solution, which omitted the softening of the rock mass and the solution based on the model of the elastic-plastic-brittle medium. The results of the analysis broaden the knowledge on the behavior of the rock medium in the vicinity of the excavation. The obtained solution can be further developed in order to enable its practical application, especially under the conditions in which the behavior of the rock medium in the vicinity of the excavation well reflects the elastic-plastic model with a gentle drop in the strength of the rock material.

Numerical stress analysis of harmonic drive elements by BEM

Folęga P.

Problemy Eksploatacji

2009

nr 1

85-92

The paper presents an analysis of the influence of design features of the flexspline in a harmonic drive, such as the relative radial deformation wo/m, the relative coating thickness g/df, and the design features of the basic rack tooth profile, on stress values in the bottom lands of a toothed rim. In the analysis of the state of stress, the boundary element method (BEM) was applied.

W opracowaniu przeprowadzono analizę wpływu przyjętych rodzajów mechanicznych generatorów fali oraz cech konstrukcyjnych koła podatnego: względnej deformacji promieniowej wo/m i względnej grubości powłoki g/df na rozkłady naprężeń w dnie wrębu. Ponadto wykonano analizę wpływu wybranych cech konstrukcyjnych zarysu odniesienia na wartości naprężeń w dnach wrębów międzyzębnych wieńca zębatego. W przeprowadzonej analizie stanu naprężenia wykorzystano metodę elementów brzegowych (MEB).

Stress analysis of linear elastic structures by the fast multi-pole boundary element method

Ptaszny J., Fedeliński P.

Computer Assisted Mechanics and Engineering Sciences

2009

Vol. 16, No. 3/4

223-240

In this paper a fast multipole boundary element method (FMBEM) analysis of internal stress in two-dimensional linear elastic structures is presented. The expansions of the potentials occurring in the stress integral equation are obtained by the differentiation of local series built for the displacement eąuation potentials, and application of the strain-displacement and stress-strain relations. Results of the analysis are presented. To illustrate the accuracy of the method a stress concentration problems are considered, which are a square plate with a circular hole under tension, and a gear. The application of the FMBEM can reduce the analysis time in relation to the conventional BEM case, providing similar accuracy. Presented method can be applied in the BEM analysis of non-linear structures, which requires the evaluation of internal strains or stresses.