Submit an Article
Become a reviewer
Vol 196
Pages:
306-310
Download volume:
RUS
Article

The algorithm of numerical solution the non-linear boundary value problems of geomechanics

Authors:
A. P. Gospodarikov1
M. A. Zatsepin2
A. V. Meleshko3
About authors
  • 1 — Ph.D., Dr.Sci. professor Saint Petersburg State Mining University
  • 2 — Ph.D. assistant lecturer Saint Petersburg State Mining University
  • 3 — post-graduate student Saint Petersburg State Mining University
Date submitted:
2011-08-09
Date accepted:
2011-10-22
Date published:
2012-05-22

Abstract

This article is devoted to the algorithm of the forecast of stress and strain state nonho-mogeneous layered physical nonlinear rock massif. The modeling based on applying the whole package of computational methods: variational method, discrete continuation on numeric parameter method, quasi-linearization of nonlinear value boundary problem, finite difference method, Thomas algorithm and iterative process.

Область исследования:
(Archived) Nanotechnologies and information technologies
Keywords:
forecast geomechanics rock massif stress and strain state computational methods
Funding:

None

Go to volume 196

References

  1. Bellman R., Kalaba R. Quasi-linearization and boundary-value problem. Moscow, 1968. 184 p.
  2. Gospodarikov А.P. The method of the computation of the nonlinear problems of rock massifs / Saint Petersburg State Mining Institute. Saint Petersburg, 1999. 129 p.
  3. Grigoluk E.I., Shalashilin V.I. Problems of nonlinear deformation. Moscow, 1988. 232 p.

Similar articles

Computer program of gidrodynamical calculation of moving mixture in pipes due to Poetman – Karpenter and Lutoshkin – Krylov methods
2012 A. L. Klimenkov, V. T. Litvin, O. G. Bykova
Measurement of reactive power in electric circuits with hight harmonics
2012 Yu. E. Bunteev, A. K. Radkovskiy, V. A. Kuznetsov
Effect of potassium on the solubility of aluminum hydroxide in alkaline aluminate solutions аnd their decomposition
2012 V. N. Brichkin, E. A. Alekseeva, N. V. Nikolaeva, E. E. Gordyushenkov
Analysis of Russian and international practice of accounting the environmental factors
2012 E. N. Bykova, Yu. I. Sapozhnikova
Substantiation of schemes of the electrical supply of remote areas of oil extracting
2012 D. A. Ustinov, A. V. Turysheva, I. G. Plotnikov
Kholodninskoe deposit: development strategy, main engineering solutions, perspective exploration
2012 Vladimir S. Litvinenko, V. P. Zubov, O. V. Mikhailenko