Stress Systems in Orthotropic Quarter Plane
Publication: Journal of Engineering Mechanics
Volume 113, Issue 11
Abstract
A solution is derived for stresses in an orthotropic quarter plane loaded by (1) A tangential concentrated line load at distance a from the edge; (2) a uniform normal load over length a and at distance a from the edge; and (3) a uniform normal load over length a at the edge. The results may find application in reinforced‐earth and geotextile retaining walls, vertical slopes of horizontally jointed rock, and unsupported excavations of anisotropic soil.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Constantinou, M. C., and Gazetas, G. (1986). “Loading of anisotropic quarter plane.” J. Engrg. Mech., ASCE, 112(10), 1021–1040.
2.
DeUrena, R., Piquer, J. S., Muzas, F., and Sanz Saracho, J. M. (1966). “Stress distribution in cross‐anisotropic media.” Proc., 1st Int. Congress on Rock Mech., Vol. 1, Lisbon, Portugal, 313–317.
3.
Gautesen, A. K. (1985a). “Scattering of a Rayleigh wave by an elastic quarter space.” J. Appl. Mech., ASME, 52, 664–668.
4.
Gautesen, A. K. (1985b). “Scattering of a plane longitudinal wave by an elastic quarter space.” Wave Motion, 7, pp. 557–568.
5.
Gerrard, C. M., and Harrison, W. J. (1970). “Stresses and displacements in a loaded orthorhombic half space.” Tech. Paper No. 9, Australia Div. of Appl. Geomech.
6.
Greenleaf, R. S. (1986). “Stress systems in an orthotropic quarter plane,” thesis presented to Drexel University, at Philadelphia, Pa., in partial fulfillment of the requirements for the degree of Master of Science.
7.
Hetenyi, M. (1960). “A method of solution for the quarter plane.” J. Appl. Mech., ASME, 27(2), 289–296.
8.
Hetenyi, M. (1970). “A general solution for the elastic quarter space.” J. Appl. Mech., ASME, 37, 70–76.
9.
Keer, L. M., Lee, J. C., and Mura, T. (1983). “Stress distributions for a quarter plane containing an arbitrary crack.” J. Appl. Mech., ASME, 50, 43–49.
10.
Keer, L. M., Lee, J. C., and Mura, T. (1983). “Hetenyi's elastic quarter space problem revisited.” Int. J. Solids Struct. 19(6), 497–508.
11.
Knopoff, L. (1969). “Elastic wave propagation in a wedge.” Wave propagation in solids, J. Miklowitz, ed., ASME, New York, N.Y., 3–43.
12.
Kupradze, V. D. et al. (1979). Three‐dimensional problems of the mathematical theory of elasticity and thermoelasticity. North Holland, Amsterdam, Netherlands.
13.
Lekhnitskii, S. G. (1981). Theory of elasticity of an anisotropic body. Mir Publishers, Moscow, U.S.S.R. (English ed.).
14.
Mossakowski, J. (1956). “The Michell problem for anisotropic semi‐infinite plate.” Archiwalia Mechanica Stosowany (Archives of Applied Mechanics). 8(4), 539–548.
15.
Rekach, V. G. (1979). Manual of the theory of elasticity. Mir Publishers, Moscow, U.S.S.R. (English ed.).
16.
Shepherd, W. M. (1935). “Stress systems in an infinite sector.” Proc. Royal Soc. of London 148, Series A, 284–303.
17.
Swamy, B. D. (1981). “A theoretical investigation of stresses near the corner of an orthotropic elastic orthogonal wedge.” Int. J. Solid Struct. 17, 499–514.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 113 • Issue 11 • November 1987
Pages: 1720 - 1738
Copyright
Copyright © 1987 ASCE.
History
Published online: Nov 1, 1987
Published in print: Nov 1987
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.