THEORETICAL STRESS DISTRIBUTION IN AN ELASTIC MULTI-LAYERED SYSTEM

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/

• Record URL:
  http://onlinepubs.trb.org/Onlinepubs/hrr/1968/228/228-002.pdf
• Supplemental Notes:
  • 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
• Authors:
  • Charyulu, M K
  • Sheeler, J B
• Publication Date: 1968

Media Info

• Media Type: Print
• Features: Figures; References; Tables;
• Pagination: pp 11-17
• Monograph Title: Soil stresses and pavement element analysis (5 reports)
• Serial:
  • Highway Research Record
  • Issue Number: 228
  • Publisher: Highway Research Board

Subject/Index Terms

• TRT Terms: Alternatives analysis; Boussinesq equation; Deformation curve; Digital computers; Dislocation (Geology); Elasticity (Mechanics); Interfaces; Loads; Mathematical models; Parabolas; Pavement layers; Shear stress; Stresses; Theory
• Uncontrolled Terms: Vertical loads
• Old TRIS Terms: Boussinesq formula
• Subject Areas: Geotechnology; Highways; Pavements;

Filing Info

• Accession Number: 00205703
• Record Type: Publication
• Files: TRIS, TRB
• Created Date: Sep 16 1994 12:00AM