TECHNICAL PAPERS
Oct 1, 1986

Loading of Anisotropic Quarter Plane

Publication: Journal of Engineering Mechanics
Volume 112, Issue 10

Abstract

Using a “systematic relaxation of constraints” technique, a plane‐strain solution is derived for stresses in an elastic orthotropic quarter space loaded by a normal concentrated line load at a distance a from the edge. The formulation is also specialized to the case of cross‐anisotropic material behavior. Results are presented in the form of distribution of normal and shear stresses for a wide range of anisotropic material parameters. Applications include reinforced‐earth and geotextile retaining walls, vertical slopes of horizontally jointed rock, and unsupported excavations of overconsolidated anisotropic clay. An additional contribution of the paper is the generalization of the solutions available for the corresponding half space problem to cover the case of complex roots of the “characteristic” equation.

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References

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 112Issue 10October 1986
Pages: 1021 - 1040

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Published online: Oct 1, 1986
Published in print: Oct 1986

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Authors

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M. C. Constantinou, A. M. ASCE
Asst. Prof. of Civ. Engrg., Drexel Univ., Philadelphia, PA 19104
George Gazetas, M. ASCE
Assoc. Prof. of Civ. Engrg., Rensselaer Polytechnic Inst., Troy, NY 12180

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