TECHNICAL PAPERS
Aug 1, 2000

Analysis and Implementation of Resilient Modulus Models for Granular Solids

Publication: Journal of Engineering Mechanics
Volume 126, Issue 8

Abstract

Constitutive equations based upon stress dependent moduli, like K-θ and Uzan-Witczak, are widely used to characterize the resilient response of granular materials for the analysis and design of pavement systems. These constitutive models are motivated by the observation that the granular layers used in pavement structures shake down to (nonlinear) elastic response under construction loads and will, therefore, respond elastically under service loads typically felt by these systems. Due to their simplicity, their great success in organizing the response data from cyclic triaxial tests, and their success relative to competing material models in predicting the behavior observed in the field, these resilient modulus constitutive models have been implemented in many computer programs used by researchers and design engineers. This paper provides an analysis of the nonlinear solution algorithms that have been used in implementing these models in a conventional nonlinear 3D finite-element framework. The analysis shows that these conventional algorithms are destined to fail at higher load levels. The paper offers two competitive methods for global analysis with these models. A comparative study of eight possible implementations of the algorithms described in the paper is made through two simulation examples.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
ABAQUS. Standard user's manual, version 5.4. (1994). Vol. 1, Hibbett Karlsson, and Sorensen, Pawtucket, R.I.
2.
Allen, J. J. ( 1973). “The effects of non-constant lateral pressures on the resilient response of granular materials.” PhD dissertation, Dept. of Civ. Engrg., University of Illinois, Urbana, Ill.
3.
Boyce, J. R. (1980). “A nonlinear model for the elastic behavior of granular materials under repeated loading.” Proc., Int. Symp. on Soils under Cyclic and Transient Loading, Swansea.
4.
Brown, S. F., and Pappin, J. W. (1981). “Analysis of pavements with granular bases.” Transp. Res. Rec. 810, Transportation Research Board, Washington, D.C., 17–23.
5.
Federal Aviation Administration (FAA). (1995). “Airport pavement design for the Boeing 777 airplane.” Advisory Circular (AC) No: 150/5320-16, U.S. Department of Transportation, Washington, D.C.
6.
Fletcher, R. (1987). Practical methods of optimization, 2nd Ed., Wiley, New York.
7.
Harichandran, R. S., Yeh, M. S., and Baladi, G. Y. (1971). “MICH-PAVE: A nonlinear finite element program for analysis of pavements.” Transp. Res. Rec. 345, Transportation Research Board, Washington, D.C.
8.
Heath, M. T. (1997). Scientific computing. An introductory survey, McGraw-Hill, New York.
9.
Hicks, R. G., and Monismith, C. L. (1971). “Factors influencing the resilient properties of granular materials.” Transp. Res. Rec. 345, Transportation Research Board, Washington, D.C., 15–31.
10.
Hjelmstad, K. D., and Taciroglu, E. (1997). “A coupled hyperelastic constitutive model for resilient response of granular materials.” Aircraft/Pavement Technol.: In the Midst of Change, Proc., ASCE 1997 Airfield Pavement Conf., F. V. Hermann, ed., ASCE, New York, 178–189.
11.
Hjelmstad, K. D., Kim, J., and Zuo, Q. H. (1997). “Finite element procedures for three dimensional pavement analysis.” Aircraft/Pavement Technol.: In the Midst of Change, Proc., ASCE 1997 Airfield Pavement Conf., F. V. Hermann, ed., ASCE, New York, 125–137.
12.
Huang, Y. H. (1993). Pavement analysis and design, Prentice-Hall, Englewood Cliffs, N.J.
13.
May, R. W., and Witczak, M. W. (1981). “Effective granular modulus to model pavement responses.” Transp. Res. Rec. 810, Transportation Research Board, Washington, D.C., 1–9.
14.
Raad, L., and Figueroa, J. L. (1980). “Load response of transportation support systems.”J. Transp. Engrg., ASCE, 106(1), 111–128.
15.
Sokolnikoff, I. S. (1956). Mathematical theory of elasticity, McGraw-Hill, New York, 86–87.
16.
Tutumluer, E. ( 1995). “Predicting behavior of flexible pavements with granular bases.” PhD thesis, Georgia Institute of Technology, Atlanta.
17.
Uzan, J. (1985). “Characterization of granular materials.” Transp. Res. Rec. 1022, Transportation Research Board, Washington, D.C., 52–59.
18.
Witczak, M. W., and Uzan, J. (1988). “The universal airport pavement design system.”Rep. I of V: Granular Material Characterization, Dept. of Civ. Engrg., University of Maryland, College Park, Md.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 126Issue 8August 2000
Pages: 821 - 830

History

Received: Apr 2, 1998
Published online: Aug 1, 2000
Published in print: Aug 2000

Permissions

Request permissions for this article.

Authors

Affiliations

Member, ASCE
Prof., Dept. of Civ. and Envir. Engrg., Univ. of Illinois, 205 N. Mathews Ave., Urbana, IL 61801.
Postdoctoral Res. Assoc., Ctr. for Simulation of Advanced Rockets, Univ. of Illinois, 205 N. Mathews Ave., Urbana, IL 61801; formerly, Res. Asst., Dept. of Civ. and Envir. Engrg., Univ. of Illinois, Urbana, IL.

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share