00205703

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http://onlinepubs.trb.org...s/hrr/1968/228/228-002.pdf

A THEORETICAL MATHEMATICAL MODEL OF STRESS DISTRIBUTION IN A MULTI-LAYERED SYSTEM UNDER LOADS OF AXIAL SYMMETRY IS PRESENTED. THE MODEL IS GENERALIZED FOR ANY ARBITRARY NUMBER OF HORIZONTAL LAYERS AND EACH LAYER IS ASSUMED TO BE LINEARLY ELASTIC, HOMOGENEOUS, ISOTROPIC AND OF INFINITE EXTENT IN THE HORIZONTAL PLANE, THE LAST LAYER BEING SEMI- INFINITE. VERTICAL STRESS, VERTICAL DISPLACEMENT AND SHEAR STRESS ARE CONSIDERED TO BE CONTINUOUS ACROSS ANY INTERFACE. IN ADDITION, THE SHEAR STRESS AT AN INTERFACE IS ASSUMED TO BE PROPORTIONAL TO THE RELATIVE DISPLACEMENT. FIVE SETS OF CURVES, OBTAINED BY AN IBM 7074 COMPUTER, OF VERTICAL STRESS AND DISPLACEMENT AS A FUNCTION OF RELATIVE DEPTH UNDER PARABOLIC LOADS ARE PRESENTED. A COMPARISON OF VERTICAL STRESSES IS MADE TO THOSE CALCULATED BY THE THEORIES OF BURMISTER AND BOUSSINESQ. /AUTHOR/

Paper sponsored by Committee on Mechanics of Earth Masses and Layered Systems, and presented at the 47th Annual Meeting. Distribution, posting, or copying of this PDF is strictly prohibited without written permission of the Transportation Research Board of the National Academy of Sciences. Unless otherwise indicated, all materials in this PDF are copyrighted by the National Academy of Sciences. Copyright © National Academy of Sciences. All rights reserved

01409434

pp 11-17

1968

Highway Research Record

Print

Figures (11) ; References (5) ; Tables (2)

Alternatives analysis; Boussinesq equation; Deformation curve; Digital computers; Dislocation (Geology); Elasticity (Mechanics); Interfaces; Loads; Mathematical models; Parabolas; Pavement layers; Shear stress; Stresses; Theory

Vertical loads

Geotechnology; Highways; Pavements

TRIS, TRB

Sep 16 1994 12:00AM

• FINITE ELEMENT ANALYSES OF PAVEMENTS
• LAYERED SYSTEMS UNDER NORMAL SURFACE LOADS
• STRESS ANALYSIS BY FINITE ELEMENTS
• SURFACE DISPLACEMENT OF AN ELASTIC LAYER UNDER UNIFORMLY DISTRIBUTED LOADS