Plastic deformation of rocks under the action of gravitation and codirectional tectonic forces
type: Item
instance of: scholarly article
zbMATH Open document ID: 1054.74526
author: Ol'ga Kuz'
publication date: 2001-12-12T00:00:00Z
Mathematics Subject Classification ID: 74C05
Mathematics Subject Classification ID: 74F05
zbMATH DE Number: 1681853
zbMATH Keywords: rocks
zbMATH Keywords: plastic deformation
zbMATH Keywords: gravitation
zbMATH Keywords: tectonic forces
zbMATH Keywords: numerical solution
zbMATH Keywords: functional minimization
MaRDI profile type: Publication
title: Plastic deformation of rocks under the action of gravitation and codirectional tectonic forces
published in: Visnyk L'vivs'kogo Universytetu. Seriya Mekhaniko-Matematychna
review text: On the basis of experimental data dependence of rheological properties of rocks on one-dimensional tectonic forces and compressive pressure are studied. Fields of stresses and strains are determined from solution of problems of thermoelastoplasticity. For estimation of level of plastic strains in the earth crust the model of linearly hardening medium is used. Numerical solution of the formulated problem is performed using the Newton-Kantorovich technique. At each step a linear problem is solved by the variational-difference method based on minimization of the classical Lagrange functional containing thermal terms. Dependence of compressive pressure and plastic properties on magnitude of one-directional tectonic forces is studied.
description: scientific article; zbMATH DE number 1681853