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Vol 196
Pages:
306-310
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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.

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