A nonlinear model for describing the mechanical behaviour of rock

被引：21

作者：

Bustamante, R. ^{[1
]}

Rajagopal, K. R. ^{[2
]}

机构：

[1] Univ Chile, Dept Ingn Mecan, Santiago Ctr, Beauchef 851, Santiago, Chile

[2] Texas A&M Univ, Dept Mech Engn, College Stn, TX 77843 USA

来源：

ACTA MECHANICA | 2018年 / 229卷 / 01期

基金：

美国国家科学基金会;

关键词：

ELASTIC BODIES; CONSTITUTIVE RELATIONS; EQUATIONS; FAILURE; SOLIDS; STRAIN;

D O I：

10.1007/s00707-017-1968-3

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this paper, a nonlinear constitutive relation is proposed to model the behaviour of sandstone. The model is based on a relatively new class of constitutive relations proposed recently in the literature, which cannot be classified as Cauchy or Green elastic bodies. A specific expression for the constitutive relation is proposed on the basis of some experimental data for the compression of a sample of rock, and several boundary value problems are analysed, considering homogeneous distributions of strains, as well as a problem wherein one has a non-homogeneous distribution of strains. Finally, the behaviour of the P- and S-waves is studied for a sample of rock under compression, and it is discovered that the wave speed depends on the compressive load, a result supported by experiments.

引用

页码：251 / 272

页数：22

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