Technical Papers
Sep 16, 2013

3D Finite-Element Dynamic Analysis of Rigid Pavement Using Infinite Elements

Publication: International Journal of Geomechanics
Volume 13, Issue 5

Abstract

A solution algorithm based on three-dimensional (3D) finite-element analysis is presented to study the dynamic response of concrete pavements subjected to moving loads. The pavement is discretized by 20-node isoparametric brick elements. The supporting soil medium is idealized by the elastic continuum model. Kelvin elements are attached to the transmitting boundary separating the near field and far field of the infinite soil medium in the vertical and longitudinal directions. Three-dimensional, 16-node infinite elements are attached to the transmitting boundary in the longitudinal direction to simulate the infinite soil medium in vehicle traverse direction. The moving vehicle is modeled by a mass supported by a linear spring and dashpot assembly simulating the vehicle suspension system. The vehicle-pavement interaction force is modeled with a Dirac-delta function. The dynamic equilibrium equation is solved by applying the Newmark-Beta integration scheme. The effects of vehicle-pavement interaction, pavement thickness, and soil parameters on the dynamic response of pavement are investigated by conducting a parametric study. It has been observed that the dynamic interaction between the moving load and the pavement has a significant effect on pavement response.

Get full access to this article

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

References

Achenbach, J. D., and Sun, C. T. (1965). “Moving load on a flexibly supported Timoshenko beam.” Int. J. Solids Struct., 1(4), 353–370.
Alvappillai, A., Zaman, M., and Laguros, J. (1992). “Finite element algorithm for jointed concrete pavements subjected to moving aircraft.” Comput. Geotech., 14(3), 121–147.
Barkan, D. D. (1962). Dynamics of base and foundations, McGraw Hill, New York.
Bentley, K. J., and El Naggar, M. H. (2000). “Numerical analysis of kinematic response of single piles.” Can. Geotech. J., 37(6), 1368–1382.
Bettess, P. (1977). “Infinite element.” Int. J. Numer. Methods Eng., 11(1), 53–64.
Brill, D. R., and Parsons, I. D. (2001). “Three-dimensional finite element analysis in airport pavement design.” Int. J. Geomech., 1(3), 273–290.
Chopra, A. K. (2007). Dynamics of structures theory and applications to earthquake engineering. Pearson Education, Upper Saddle River, NJ.
Crandall, S. H. (1957). “Timoshenko beam on elastic foundation.” Proc., 3rd Midwestern Conf. on Solid Mech., Ann Arbor, MI, 146–159.
Cundall, P. A., Kunnar, R. R., Carpenter, P. C., and Marti, J. (1978). “Solution of infinite dynamic problems by finite modeling in the time domain.” Proc., Int. Conf. on Appl. Numer. Modeling, Madrid.
Darestani, M. Y., Thambiratnam, D. P., Nataatmadja, A., and Baweja, D. (2006). “Dynamic response of concrete pavements under vehicular loads.” Proc., Int. Association for Bridge and Structural Engineering (IABSE) Symp.—Response to Tomorrow’s Challenges in Structural Engineering, International Association for Bridge and Structural Engineering (IABSE), Zurich, Switzerland, 104–105.
Davids, W. G. (2001). “3D finite element study on load transfer at doweled joints in flat and curled rigid pavements.” Int. J. Geomech., 1(3), 309–323.
Huang, Y. K. (2004). Pavement analysis and design. Pearson Education, Upper Saddle River, NJ.
Ioannides, A. M., and Donnelly, J. P. (1988). “Three-dimensional analysis of slab on stress-dependence foundation.” Transportation Research Record 1196, Transportation Research Board, Washington, DC, 72–84.
Izquierdo, J. T., Rodrigues, L., and Rios, B. C. (2002). “Structural evaluation and analysis of instrumented in-service concrete pavements subjected to heavy dynamic loads.” Transportation Research Record 1568, Transportation Research Board, Washington, DC, 24–34.
Kausel, E., Wass, G., and Roesset, J. M. (1975). “Dynamic analysis of footings on layered media.” J. Engrg. Mech. Div., 101(5), 679–693.
Kenney, J. T., Jr (1954). “Steady-state vibrations of beam on elastic foundation for moving load.” J. Appl. Mech., 21(4), 359–364.
Lewis, K. H., and Harr, M. E. (1969). “Analysis of concrete slabs on ground subjected to warping and moving loads.” Hwy. Res. Bull., Vol. 291, 194–211.
Liao, Z. P., Wong, H. L., Yang, B., and Yuan, Y. (1984). “A transmitting boundary for transient wave analysis.” Sci. Sin., 27(A), 1063–1073.
Lysmer, J., and Kuhlemeyer, R. L. (1969). “Finite dynamic model for infinite media.” J. Eng. Mech. Div., 95(4), 859–877.
Maheshwari, B. K., Truman, K. Z., El Naggar, M. H., and Gould, P. L. (2004a). “Three dimensional finite element nonlinear dynamic analysis of pile groups for lateral transient and seismic excitations.” Can. Geotech. J., 41(1), 118–133.
Maheshwari, B. K., Truman, K. Z., El Naggar, M. H., and Gould, P. L. (2004b). “Three-dimensional nonlinear analysis for seismic soil-pile-structure interaction.” Soil. Dyn. Earthquake Eng., 24(4), 343–356.
Maheshwari, B. K., Truman, K. Z., Gould, P. L., and El Naggar, M. H. (2005). “Three-dimensional nonlinear seismic analysis of single piles using finite element model: Effects of plasticity of soil.” Int. J. Geomech., 5(1), 35–44.
Novak, M., and Mitwally, H. (1988). “Transmitting boundary for axisymmetrical dilation problems.” J. Eng. Mech., 114(1), 181–187.
Novak, M., Nogami, T., and Aboul-Ella, F. (1978). “Dynamic soil reaction for plane strain case.” J. Eng. Mech., 104(4), 953–956.
Patil, V. A., Sawant, V. A., and Deb, K. (2010). “Use of finite and infinite elements in static analysis of pavements.” Interaction Multiscale Mech. Int. J., 3(1), 95–110.
Sawant, V. A., Deb, K., and Patil, V. A. (2010). “Dynamic pavement-vehicle interaction of rigid pavement resting on two-parameter soil medium.” Paving Materials and Pavement Analysis, GeoShanghai 2010, ASCE, Reston, VA, 209–214.
Sawant, V. A., Patil, V. A., and Deb, K. (2011). “Effect of vehicle-pavement interaction on dynamic response of rigid pavements.” Geomech. Geoeng. Int. J., 6(1), 31–39.
Saxena, S. K. (1973). “Pavement slab resting on elastic foundation.” Highway Research Record 466.
Selvadurai, A. P. S. (1979). Elastic analysis of soil-foundation interaction. Elsevier Scientific Publishing Company, Amsterdam, Netherlands.
Shoukry, S. N., Fahmy, M., Prucz, J., and William, G. (2007). “Validation of 3DFE analysis of rigid pavement dynamic response to moving traffic and nonlinear temperature gradient effects.” Int. J. Geomech., 7(1), 16–24.
Sun, L. (2003). “Dynamic response of Kirchhoff plate on a viscoelastic foundation to harmonic circular loads.” J. Applied Mech., 70(4), 595–600.
Sun, L. (2006). “Analytical dynamic displacement response of rigid pavements to moving concentrated and line loads.” Int. J. Solids Struct., 43(14–15), 4370–4383.
Sun, L. (2007). “Steady-state dynamic response of a Kirchhoff’s slab on viscoelastic Kelvin’s foundation to moving harmonic loads.” J. Transp. Eng., 133(4), 1212–1224.
Taheri, M. R., and Ting, E. C. (1989). “Dynamic response of plates to moving loads: Structural impedance method.” Comp. Struct., 33(6), 1379–1393.
Taheri, M. R., and Ting, E. C. (1990). “Dynamic response of plates to moving loads: Finite element method.” Comp. Struct., 34(3), 509–552.
Taheri, M. R., and Zaman, M. (1995). “Effects of a moving aircraft and temperature differential on response of rigid pavements.” Comp. Struct., 57(3), 503–511.
Taheri, M. R., Zaman, M., and Alvappillai, A. (1990). “Dynamic response of concrete pavements to moving aircraft.” Appl. Math. Model., 14(11), 562–575.
White, W., Lee, I. K., and Valliappan, S. (1977). “Unified boundary for finite dynamics models.” J. Engrg. Mech. Div., 103(5), 949–964.
Winkler, E. (1867). Die lehre von der elastlzitiit and festigkeit [The doctrine of elasticity and strength]. H. Dominicus, Prague, Czech Republic, 182 (in German).
Wu, C. P., and Shen, P. A. (1996). “Dynamic analysis of concrete pavements subjected to moving loads.” J. Transport. Eng., 122(5), 367–373.
Yang, T. Y. (1972). “A finite element analysis of plates on a two parameter foundation model.” Comp. Struct., 2(4), 593–614.
Zaman, M. (2000). “Dynamics of rigid pavements including vehicle-pavement interaction effects.” Modeling in Geomechanics, M. Zaman, G. Gioda, and J. Booker, eds., Wiley, New York, 467–491.
Zaman, M., Alvappillai, A., and Taheri, M. R. (1993). “Dynamic analysis of concrete pavements resting on a two-parameter medium.” Int. J. Numer. Methods Eng., 36(9), 1465–1486.
Zaman, M., Alvappillai, A., and Taheri, M. R. (1991). “Dynamic analysis of thick plate on viscoelastic foundation subjected to moving loads.” Int. J. Numer. Anal. Methods Geomech., 15(9), 627–647.
Zhao, C., and Valliappan, S. (1993). “A dynamic infinite element for three-dimensional infinite-domain wave problems.” Int. J. Numer. Methods Eng., 36(15), 2567–2580.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 13Issue 5October 2013
Pages: 533 - 544

History

Received: Feb 20, 2011
Accepted: Sep 25, 2012
Published online: Sep 16, 2013
Published in print: Oct 1, 2013

Permissions

Request permissions for this article.

Authors

Affiliations

V. A. Patil [email protected]
Research Scholar, Civil Engineering Dept., Indian Institute of Technology, Roorkee, Uttarakhand 247667, India (corresponding author). E-mail: [email protected]
V. A. Sawant [email protected]
Assistant Professor, Civil Engineering Dept., Indian Institute of Technology, Roorkee, Uttarakhand 247667, India. E-mail: [email protected]
Assistant Professor, Civil Engineering Dept., Indian Institute of Technology, Kharagpur, West Bengal 721302, India. E-mail: [email protected]

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