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Vol 196
Pages:
306
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RUS

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 — Saint Petersburg State Mining University
  • 2 — Saint Petersburg State Mining University
  • 3 — Saint Petersburg State Mining University
Date submitted:
2011-08-09
Date accepted:
2011-10-22
Date published:
2012-02-01

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.

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References

  1. Беллман Р. Квазилинеаризация и нелинейные краевые задачи / Р.Беллман, Р.Калаба. М., 1968. 184 с.
  2. Господариков А.П. Метод решения нелинейных задач механики горных пород при подземной разработке пластовых месторождений / Санкт-Петербургский горный ин-т. СПб, 1999. 129 с.
  3. Григолюк Э.И. Проблемы нелинейного деформирования / Э.И.Григолюк, В.И.Шалашилин. М., 1988. 232 с.

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