Interaction of seismic waves with zones of concentration of initial stresses

Lys, E. V.; Romenskii, E. I.; Cheverda, V. A.; Эпов, М.И.

doi:10.1134/s1028334x13040053

Cited by 6 publications

(2 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Prediction of the dynamic behavior of structural elements taking into account a number of weakening factors (holes, cavities, cutouts, etc.) has not only theoretical, but also applied value, determined by the demands of engineering practice [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. The methodological apparatus of scientific research is based on finite-difference methods based on the use of characteristic surfaces and compatibility relations on them.…”

Section: Introductionmentioning

confidence: 99%

Wave field in a strip with symmetric located holes

Ashirbayev¹,

Ashirbayeva²,

Shomanbayeva³

et al. 2020

Bul. Kar. Univ. - Math.

View full text Add to dashboard Cite

Wave field in a strip with symmetric located holesIn the linear formulation, the problem of the propagation of unsteady stress waves in an elastic body with symmetrically located rectangular holes is considered. Formulated in terms of stresses and velocities, the mixed problem is modeled numerically using an explicit difference scheme of the end-to-end calculation based on the method of spatial characteristics. The wave process is caused by applying an external dynamic load on the front border of the rectangular region, and the side boundaries of the region are free of stresses. The lower boundary of the rectangular region is rigidly fixed. The contour of symmetrically arranged rectangular openings is free of stress. Based on the numerical technique developed in this work, the calculated finite -difference relations of dynamic problems are obtained at the corner points of a rectangular hole, where the "smoothness"of functions "familiar"to dynamic problems is violated. At these corner points, the first and second derivatives of the desired functions suffer a discontinuity of the first kind. The isoline presents the results of changes in wave fields in an elastic body with symmetrically located rectangular holes. The concentration of dynamic stresses in the vicinity of the corner points of a rectangular hole is investigated. By numerical implementation, the stability of computational algorithms for a sufficiently large time is established.

show abstract

Section: Introductionmentioning

confidence: 99%

Wave field in a strip with symmetric located holes

Ashirbayev¹,

Ashirbayeva²,

Shomanbayeva³

et al. 2020

Bul. Kar. Univ. - Math.

View full text Add to dashboard Cite

show abstract

“…Therefore, the problem of stress concentrations is given great attention in modern technology, which is reflected in the almost infinite number of domestic and foreign studies, as well as in the special monographs and the reference manuals. In general, the number of works devoted to the dynamic problems, taking into account a number of weakening factors, is very small; far from all aspects of their working capacity under conditions of unsteady external loads are considered in them [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. However, interest in these problems, due primarily to the importance of solving complex practical problems, is great, and further improvement of numerical methods in various modifications using increasingly sophisticated electronic computing equipment should lead to a significant development of this direction.…”

mentioning

confidence: 99%

Anisotropy of Economic Space of the Republic of Kazakhstan

Tereshchenko¹

2021

SPM

View full text Add to dashboard Cite

The work is devoted to the generalization of the difference method of spatial characteristics to the case of the plane problem of the propagation of waves in a rectangular region of finite dimensions with a symmetrically-located rectangular cutout at the lateral boundaries. Based on the numerical technique developed in this work, the calculated finite - difference relations of dynamic problems are obtained at the corner points of a rectangular cutout, where the smoothness of functions that is “familiar” to dynamic problems is violated. At these corner points, the first and second derivatives of the desired functions suffer a discontinuity of the first kind. The results of the study are brought to a numerical solution. The effect of stress concentration in the vicinity of the cutout was studied and it was shown that the impact of the cutout on the particle velocity distribution, on the stress distribution has a local character.

show abstract