Elastic Subsurface Stress Analysis for Circular Foundations. II
Publication: Journal of Engineering Mechanics
Volume 124, Issue 5
Abstract
In part I of this analysis analytical expressions were derived for the elastic fields in a cross-anisotropic and isotropic half space with various loadings applied over a circular area on the surface. Two special cases are now analyzed. Consideration is first given to derive the analytical expressions for the elastic field along the z-axis perpendicular to the surface. Then the elastic field at the surface z= 0 is found. Finally, numerical results reveal the effect of concentric and eccentric loading on the vertical soil pressure and the maximum shear stress below the surface. It is found that the nature of the quadratic loading significantly effects the magnitude and distribution of the maximum shear stress. It is also shown that some types of cross-anisotropy may also give significantly different results than those for isotropic materials.
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References
1.
Elliot, H. A.(1948). “Three-dimensional stress distributions in hexagonal aeolotropic crystals.”Proc., Cambridge Philosophical Soc., 44, 522–533.
2.
Fabrikant, V. I. (1989). Applications of potential theory in mechanics: a selection of new results. Kluwer Academic Publishers, Dordrecht, The Netherlands, 71–79.
3.
Hanson, M. T., and Puja, I. W.(1996). “Love's circular patch problem revisited: closed form solutions for transverse isotropy and shear loading.”Quarterly of Appl. Mathematics, 54(2), 359–384.
4.
Hanson, M. T., and Puja, I. W.(1997). “The evaluation of certain infinite integrals involving products of Bessel functions: a correlation of formula.”Quarterly of Appl. Mathematics, 55(3), 505–524.
5.
Hanson, M. T., and Puja, I. W. (1998). “Elastic subsurface stress analysis for circular foundations. I.”J. Engrg. Mech., ASCE, 124(5), 537– 546.
6.
Hanson, M. T., and Wang, Y.(1997). “Concentrated ring loadings in a full space or half space: solutions for transverse isotropy and isotropy.”Int. J. Solids and Struct., 34(11), 1379–1418.
7.
Zureick, A. H., and Eubanks, R. A.(1988). “Spheroidal cavity with prescribed asymmetric tractions in three-dimensional transverse isotropy.”J. Engrg. Mech., ASCE, 114(1), 24–48.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 124 • Issue 5 • May 1998
Pages: 547 - 555
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: May 1, 1998
Published in print: May 1998
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