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

A. P. Gospodarikov; M. A. Zatsepin; A. V. Meleshko

Vol 196

Pages:

306

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Nanotechnologies and information technologies

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:

2012-05-22

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.

References

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

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

Abstract

References

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