Analysis of Granular Bases Using Discrete Deformable Blocks
Publication: Journal of Transportation Engineering
Volume 124, Issue 6
Abstract
A method of analysis using fully deformable blocks is proposed for modeling unbound granular layers used in flexible pavements. An assemblage of discrete blocks of aggregates is employed to approximate the load transfer mechanisms of the real particulate nature of granular materials. The unbound aggregate bases were modeled as particulate media composed of blocks of aggregates, which are able to transfer both shear and normal compressive loads through the interfaces. Using a finite-element approach, the discrete blocks are modeled as single quadrilateral elements connected only by surrounding interface elements at each block interface. Realistic granular layer particle characteristics including translation, sliding, and even separation are permitted for each block. An iterative procedure for equilibrium is employed in the model, and the constitutive relations used in the analysis are described for determining the behavior modes of the interface elements. The granular base discrete block representation is then used in a conventional flexible pavement section having other layers modeled as continua. Important findings are presented related to the shear resistance of the granular bases.
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References
1.
Asphalt Institute. (1982). “Research and development of the Asphalt Institute's thickness design manual (MS-1).” 9th Ed., Res. Rep. 82-2, Lexington, Ky.
2.
Barksdale, R. D., and Todres, H. A. (1983). “A study of factors affecting crushed stone base performance.”Final Rep. SCEGIT-82-109, Georgia Inst. of Technol., Atlanta, Ga.
3.
Clough, G. W., and Duncan, J. M. (1969). “Finite element analyses of Port Allen and Old River locks.”Geotech. Engrg. Rep. TE-69-3, Dept. of Civ. Engrg., Univ. of California, Berkeley, Calif.
4.
Cundall, P. A., and Strack, O. D. L.(1979). “A discrete numerical model for granular assemblies.”Géotechnique, London, 29, 47.
5.
Dantu, P. (1957). “Contribution a l'etude mechanique et geometrique des milieux pulverulents.”Proc., 4th Int. Conf. on Soil Mech., Vol. 1.
6.
Dobry, R., Ng, T. T., and Petrakis, E. (1989). “Deformation characteristics of granular soil in the light of particulate mechanics.”Proc., 14th Conf. on Geotechnics, Italian Geotech. Assoc.
7.
Doddihal, S. R., and Pandey, B. B. (1984). “Stresses in full depth granular pavements.”Transp. Res. Rec. 954, Transp. Res. Board, Washington, D.C., 94–100.
8.
Duncan, J. M., and Chang, C.(1970). “Nonlinear analysis of stress and strain in soils.”J. Soil Mech. and Found. Engrg. Div., ASCE, 96(5), 1629–1653.
9.
Federal Aviation Administration (FAA). (1995). “Airport pavement design for the Boeing 777 airplane.”Advisory Circular (AC) No. 150/5320-16, U.S. Dept. of Transp., Washington, D.C.
10.
Ghaboussi, J.(1988). “Fully deformable discrete element analysis using a finite element approach.”Comp. and Geotechnics, 5(3), 175–195.
11.
Goodman, R. E., and Shi, G. H.(1989). “Generalization of two-dimensional discontinuous deformation analysis for forward modeling.”Int. J. for Numerical and Analytical Methods in Geomech., 13(4), 359–380.
12.
Goodman, R. E., Taylor, R. L., and Brekke, T. L.(1968). “A model for the mechanics of jointed rocks.”J. Soil Mech. and Found. Div., ASCE, 94(3), 637–659.
13.
Gray, J. E. (1962). “Characteristics of graded base course aggregates determined by triaxial tests.”Engrg. Bull. No. 12, Nat. Crushed Stone Assn., Washington, D.C.
14.
Oda, M.(1974). “A mechanical and statistical model of granular material.”Soils and Found., Tokyo, Japan, 14(1), 13–27.
15.
Round, D. J. (1976). “The solution of load/deformation behavior of a discrete particle material by digital computer,” PhD dissertation, Univ. of Nottingham, Nottingham, U.K.
16.
Seridi, A., and Dobry, R. (1984). “An incremental elastic-plastic model for the force-displacement relation at the contact between elastic spheres.”Res. Rep., Dept. of Civ. Engrg., Rensselaer Polytechnic Inst., Troy, N.Y.
17.
Syriopoulos, N., and Barksdale, R. D. (1985). “Shear strength of rock discontinuities in Georgia.”Final Rep., Proj. E20-501, School of Civ. and Envir. Engrg., Georgia Inst. of Technol., Atlanta, Ga.
18.
Thompson, M. R. (1991). “Aggregate as a structural product.”The aggregate handbook, R. D. Barksdale, ed., Chap. 11, Nat. Stone Assn., Washington, D.C.
19.
Thompson, M. R., and Elliot R. P. (1985). “ILLI-PAVE based response algorithms for design of conventional flexible pavements.”Transp. Res. Rec. 1043, Transp. Res. Board, Washington, D.C., 50–57.
20.
Tutumluer, E. (1995). “Predicting behavior of flexible pavements with granular bases,” PhD dissertation, School of Civ. and Envir. Engrg., Georgia Inst. of Technol., Atlanta, Ga.
21.
Tutumluer, E., and Barksdale, R. D. (1995a). “Behavior of pavements with granular bases—Prediction and performance.”Proc., UNBAR4 Symp., A. R. Dawson and R. H. Jones, eds., 173–183.
22.
Tutumluer, E., and Barksdale, R. D. (1995b). “Inverted flexible pavement response and performance.”Transp. Res. Rec. 1482, Transp. Res. Board, Washington, D.C., 102–110.
23.
Ullidtz, P. (1995). “Stresses and strains in a two-dimensional particulate material.” Transp. Res. Board 74th Annu. Meeting, Paper No. 950142, Nat. Res. Council, Washington, D.C.
24.
Uzan, J. (1985). “Characterization of granular materials.”Transp. Res. Rec. 1022, Transp. Res. Board, Washington, D.C., 52–59.
25.
Wang, B., and Garga, V. K. (1991). “Block-spring model for analyzing discontinuous rocks.”Proc., 44th Can. Geotech. Conf., Part 1.
26.
Zeevaert, A. E. (1980). “Finite element formulation for the analysis of interfaces, nonlinear and large displacement problems in geotechnical engineering,” PhD dissertation, School of Civ. and Envir. Engrg., Georgia Inst. of Technol., Atlanta, Ga.
27.
Zienkiewicz, O. C., Valliappan, S., and King, I. P.(1968). “Stress analysis of rock as a `no tension' material.”Géotechnique, London, 18, 56–66.
Information & Authors
Information
Published In
Journal of Transportation Engineering
Volume 124 • Issue 6 • November 1998
Pages: 573 - 581
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Nov 1, 1998
Published in print: Nov 1998
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