THE EFFECT OF CEMENTATION ON THE ELASTIC PROPERTIES OF GRANULAR MATERIAL

被引：133

作者：

DVORKIN, J

MAVKO, G

NUR, A

机构：

[1] Department of Geophysics, Stanford University, Stanford

来源：

MECHANICS OF MATERIALS | 1991年 / 12卷 / 3-4期

关键词：

10;

D O I：

10.1016/0167-6636(91)90018-U

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A simple analytical model is developed to describe the mechanics of cemented granular material. The two-dimensional problem of the deformation of an arbitrarily shaped cement layer has been reduced to an ordinary differential equation of the second order. A simple analytical solution is obtained to model the normal and shear deformation of a cement layer with straight boundaries. The problem of the normal compression of two contacting circular elastic grains and an elastic cement layer between them has been reduced to a linear integral equation. This problem has been solved both for two-dimensional (cylindrical grains) and three-dimensional (spherical grains) cases. The elastic modulus of such a combination is strongly increased by cementation compared to the case of a classic Hetzian contact.

引用

页码：207 / 217

页数：11

共 10 条

[1]

Bruno, Nelson, Microstructural analysis of the inelastic behavior of sedimentary rock, (1990)

[2]

Delves, Mohamed, Computational Methods for Integral Equations, (1985)

[3]

Johnson, Contact Mechanics, (1985)

[4]

Lur'e, Three-Dimensional Problems of the Theory of Elasticity, (1964)

[5]

Matthewson, Axi-symmetric contact on thin compliant coatings, J. Mech. Phys. Solids, 29, (1981)

[6]

Mindlin, Compliance of elastic bodies in contact, Trans. ASME, 71, pp. A-259, (1949)

[7]

Novozhilov, Theory of Elasticity, (1961)

[8]

Stoll, Sediment Acoustics, (1989)

[9]

Timoshenko, Goodier, Theory of Elasticity, (1970)

[10]

Walton, The oblique compression of two elastic spheres, J. Mech. Phys. Solids, 26, (1978)

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