Gravitational stresses in anisotropic rock masses

Amadei, Bernard; Savage, William Z.; Swolfs, H.S.

doi:10.1016/0148-9062(87)91227-7

Cited by 109 publications

(54 citation statements)

References 8 publications

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“…They also depend on how the rock mass properties and the degree of anisotropy vary with depth. The effect of such variations on gravity-induced stresses has already been discussed by Amadei and Savage [7] and Amadei et al [2] for horizontally regularly jointed and layered rock masses. The solution presented in this paper can also be used to predict stresses in rock masses for which the deformability properties vary with depth only.…”

Section: Resultsmentioning

confidence: 94%

“…For orthotropic rock masses, the induced stress field is again multiaxial. However, the domains of variations for the stress components have not been investigated in detail in this paper due to the complex nature of the thermodynamic constraints on the rock elastic parameters [1].…”

Section: Resultsmentioning

confidence: 99%

“…Indeed, some inequalities associated with the thermodynamic constraints that the rock strain energy remains positive-definite, must be satisfied [5,6]. These inequalities, in turn, induce constraints on the possible domains of variation for the gravitational stress components as shown by Amadei et al [1] for orthotropic and transversely isotropic rock masses with horizontal or vertical planes of symmetry. In this section, the constraints are further discussed for transversely isotropic rock masses with inclined strata and the geometry of Fig.…”

Section: Domains Of Variation For the Stressesmentioning

confidence: 99%

“…The analytical solutions of Amadei et al [1,2] showed that for anisotropic rock masses under gravity and a condition of no lateral displacements, the horizontal stresses could not be predicted by the classical isotropic solution of Terzaghi and Richart [3]. Recall that in the isotropic solution, the horizontal stresses are equal to v/(1-v) times the vertical stress where v is the rock Poisson's ratio.…”

Section: Introductionmentioning

confidence: 99%

“…In two recent papers [1,2], closed-form solutions were presented for the components of the stress field induced by gravitational loading of laterally restrained anisotropic rock masses with a horizontal ground surface. The rock masses were modelled as orthotropic or transversely isotropic linearly elastic materials that were either homogeneous or stratified with homogeneous layers.…”

Section: Introductionmentioning

confidence: 99%

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Gravitational stresses in anisotropic rock masses with inclined strata

Amadei

Pan

1992

International Journal of Rock Mechanics and Mining Sciences &am

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Section: Resultsmentioning

confidence: 94%

Section: Resultsmentioning

confidence: 99%

Section: Domains Of Variation For the Stressesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Gravitational stresses in anisotropic rock masses with inclined strata

Amadei

Pan

1992

International Journal of Rock Mechanics and Mining Sciences &am

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Equivalent properties of rock strata: static and dynamic analysis

Sheshenin

Kalinin

Bujakov

1997

Int. J. Numer. Anal. Meth. Geomech.

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SUMMARYThe main purpose of this investigation is to study the state of stress of layered rocks forming slopes of deep river valleys. For this purpose averaging technique and a variant of the Variation-Difference Method are used. Because of the averaging method, equivalent homogeneous properties of layered elastic medium are determined. The paper has two parts. The first one is devoted to the analysis of a static stress-strain state of the slopes under gravity. The rock mass in the second part is subjected to dynamic loading caused by an earthquake. As a result of the numerical solution of the raised problems, the stress distribution in slopes and at the base of a deep canyon-like river valley was obtained.

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Elastic solutions for a transversely isotropic half-space subjected to a point load

Liao

Wang

1998

Int. J. Numer. Anal. Meth. Geomech.

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We rederive and present the complete closed‐form solutions of the displacements and stresses subjected to a point load in a transversely isotropic elastic half‐space. The half‐space is bounded by a horizontal surface, and the plane of transverse isotropy of the medium is parallel to the horizontal surface. The solutions are obtained by superposing the solutions of two infinite spaces, one acting a point load in its interior and the other being free loading. The Fourier and Hankel transforms in a cylindrical co‐ordinate system are employed for deriving the analytical solutions. These solutions are identical with the Mindlin and Boussinesq solutions if the half‐space is homogeneous, linear elastic, and isotropic. Also, the Lekhnitskii solution for a transversely isotropic half‐space subjected to a vertical point load on its horizontal surface is one of these solutions. Furthermore, an illustrative example is given to show the effect of degree of rock anisotropy on the vertical surface displacement and vertical stress that are induced by a single vertical concentrated force acting on the surface. The results indicate that the displacement and stress accounted for rock anisotropy are quite different for the displacement and stress calculated from isotropic solutions. © 1998 John Wiley & Sons, Ltd.

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Gravitational stresses in anisotropic rock masses

Cited by 109 publications

References 8 publications

Gravitational stresses in anisotropic rock masses with inclined strata

Gravitational stresses in anisotropic rock masses with inclined strata

Equivalent properties of rock strata: static and dynamic analysis

Elastic solutions for a transversely isotropic half-space subjected to a point load

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