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Exact determination of gravity stresses in finite elastic slopes: Part I. Theoretical considerations

 

作者: V. Silvestri,   C. Tabib,  

 

期刊: Canadian Geotechnical Journal  (NRC Available online 1983)
卷期: Volume 20, issue 1  

页码: 47-54

 

ISSN:0008-3674

 

年代: 1983

 

DOI:10.1139/t83-005

 

出版商: NRC Research Press

 

数据来源: NRC

 

摘要:

The exact distributions of gravity stresses are obtained within slopes of finite height inclined at various angles, −β (β = π/2, π/3, π/4, π/6, and π/8), to the horizontal. The solutions are obtained by application of the theory of a complex variable. In homogeneous, isotropic, and linearly elastic slopes under plane strain conditions, the gravity stresses are independent of Young's modulus and are a function of (a) the coordinates, (b) the height, (c) the inclination angle, (d) Poisson's ratio or the coefficient of earth pressure at rest, and (e) the volumetric weight. Conformal applications that transform the planes of the various slopes studied onto the upper half-plane are analytically obtained. These solutions are also represented graphically.

 

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