587
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

A three-dimensional generalised finite element analysis for the near-surface cracking problem in flexible pavements

, &
Pages 407-419 | Received 21 Mar 2011, Accepted 22 Mar 2011, Published online: 13 Jun 2011

References

  • Al-Qadi , I.L. 2008 . Dynamic analysis and in situ validation of perpetual pavement response to vehicular loading . Transportation Research Record: Journal of the Transportation Research Board , 2087 : 29 – 39 .
  • Babuška , I. and Melenk , J.M. 1997 . The partition of unity method . International Journal for Numerical Methods in Engineering , 40 ( 4 ) : 727 – 758 .
  • Belytschko , T. 2001 . Arbitrary discontinuities in finite elements . International Journal for Numerical Methods in Engineering , 50 : 993 – 1013 .
  • De Freitas , E.F. 2005 . Effect of construction quality, temperature, and rutting on initiation of top-down cracking . Transportation Research Record: Journal of the Transportation Research Board , 1929 : 174 – 182 .
  • Dolbow , J. , Moes , N. and Belytschko , T. 2000 . Discontinuous enrichment in finite elements with a partition of unity method . Finite Elements in Analysis and Design , 36 ( 3–4 ) : 235 – 260 .
  • Duarte , C.A. and Oden , J.T. 1996a . An hp adaptive method using clouds . Computer Methods in Applied Mechanics and Engineering , 139 ( 1–4 ) : 237 – 262 .
  • Duarte , C.A. and Oden , J.T. 1996b . Hp clouds-an hp meshless method . Numerical Methods for Partial Differential Equations , 12 ( 6 ) : 673 – 706 .
  • Duarte , C.A. , Babuška , I. and Oden , J.T. 2000 . Generalized finite element methods for three-dimensional structural mechanics problems . Computers and Structures , 77 ( 2 ) : 215 – 232 .
  • Duarte , C.A. 2001 . A generalized finite element method for the simulation of three-dimensional dynamic crack propagation . Computer Methods in Applied Mechanics and Engineering , 190 ( 15–17 ) : 2227 – 2262 .
  • Elseifi , M.A. 2005 . Quantification of pavement damage caused by dual and wide-base tires . Transportation Research Record: Journal of the Transportation Research Board , 1940 : 125 – 135 .
  • Elseifi , M.A. , Al-Qadi , I.L. and Yoo , P.J. 2006 . Viscoelastic modeling and field validation of flexible pavements . Journal of Engineering Mechanics , 132 : 172
  • Harmelink , D. 2008 . Top-down cracking in asphalt pavements: causes, effects, and cures . Journal of Transportation Engineering , 134 : 1
  • Kim , D.J. , Duarte , C.A. and Pereira , J.P. 2008 . Analysis of interacting cracks using the generalized finite element method with global-local enrichment functions . Journal of Applied Mechanics , 75 : 051107
  • Kim , D.J. , Pereira , J.P. and Duarte , C.A. 2009a . Analysis of three-dimensional fracture mechanics problems: a two-scale approach using coarse-generalized FEM meshes . International Journal for Numerical Methods in Engineering , 81 ( 3 ) : 335 – 365 .
  • Kim , J. , Roque , R. and Byron , T. 2009b . Viscoelastic analysis of flexible pavements and its effects on top-down cracking . Journal of Materials in Civil Engineering , 21 : 324
  • Melenk , J.M. and Babuška , I. 1996 . The partition of unity finite element method: basic theory and applications . Computer Methods in Applied Mechanics and Engineering , 139 ( 1–4 ) : 289 – 314 .
  • Moës , N. , Gravouil , A. and Belytschko , T. 2002 . Non-planar 3D crack growth by the extended finite element and level sets-Part I: mechanical model . International Journal for Numerical Methods in Engineering , 53 : 2549 – 2568 .
  • Myers , L.A. and Roque , R. 2001 . “ Evaluation of top-down cracking in thick asphalt pavements and the implications for pavement design ” . In Transportation Research Circular Number , Vol. 503 , 79 – 87 . Washington, DC : Transportation Research Board .
  • Oden , J.T. and Duarte , C.A. 1997 . “ Clouds, cracks and fem's ” . In Recent developments in computational and applied mechanics , Edited by: Reddy , B.D. 302 – 321 . Barcelona, Spain : International Center for Numerical Methods in Engineering, CIMNE . In
  • Oden , J.T. , Duarte , C.A. and Zienkiewicz , O.C. 1998 . A new cloud-based hp finite element method . Computer Methods in Applied Mechanics and Engineering , 153 ( 1–2 ) : 117 – 126 .
  • Ozer , H. , Duarte , C.A. and Al-Qadi , I.L. 2010 . Formulation and implementation of a high-order 3-D domain integral method for the extraction of energy release rates . Computational Mechanics , Submitted
  • Pereira , J.P. and Duarte , C.A. 2004 . “ Computation of stress intensity factors for pressurized cracks using the generalized finite element method and superconvergent extraction techniques ” . In XXV Iberian Latin-American congress on computational methods in engineering Recife, PE, Brazil, November
  • Pereira , J.P. and Duarte , C.A. 2005 . Extraction of stress intensity factors from generalized finite element solutions . Engineering Analysis with Boundary Elements , 29 ( 4 ) : 397 – 413 .
  • Pereira , J.P. 2009 . Hp-Generalized FEM and crack surface representation for non-planar 3-D cracks . International Journal for Numerical Methods in Engineering , 77 ( 5 ) : 601 – 633 .
  • Rolt , J. 2000 . “ Top-down cracking: myth or reality ” . In The World Bank regional seminar on innovative road rehabilitation and recycling technologies 24 – 26 . Amman, Jordan
  • Sangpetngam , B. , Birgisson , B. and Roque , R. 2004 . Multilayer boundary-element method for evaluating top-down cracking in hot-mix asphalt pavements . Transportation Research Record: Journal of the Transportation Research Board , 1896 : 129 – 137 .
  • Simone , A. , Duarte , C.A. and Van der Giessen , E. 2006 . A generalized finite element method for polycrystals with discontinuous grain boundaries . International Journal for Numerical Methods in Engineering , 67 : 1122 – 1145 .
  • Strouboulis , T. , Copps , K. and Babuška , I. 2001 . The generalized finite element method . Computer Methods in Applied Mechanics and Engineering , 190 ( 32–33 ) : 4081 – 4193 .
  • Strouboulis , T. , Zhang , L. and Babuška , I. 2004 . p-Version of the generalized FEM using mesh-based handbooks with applications to multiscale problems . International Journal for Numerical Methods in Engineering , 60 : 1639 – 1672 .
  • Sukumar , N. 2001 . Modeling holes and inclusions by level sets in the extended finite-element method . Computer Methods in Applied Mechanics and Engineering , 190 ( 46–47 ) : 6183 – 6200 .
  • Sukumar , N. 2000 . Extended finite element method for three-dimensional crack modelling . International Journal for Numerical Methods in Engineering , 48 : 1549 – 1570 .
  • Sukumar , N. 2003 . Brittle fracture in polycrystalline microstructures with the extended finite element method . International Journal for Numerical Methods in Engineering , 56 : 2015 – 2037 .
  • Szabó , B.A. and Babuška , I. 1991 . Finite element analysis , New York : Wiley-Interscience .
  • Tsoumbanos , B. 2006 . “ Top-down cracking in melbourne pavements ” . In Research into Practice: 22nd ARRB Conference Proceedings Canberra, Australia
  • Wang , H. and Al-Qadi , I.L. 2009 . Combined effect of moving wheel loading and three-dimensional contact stresses on perpetual pavement responses . Transportation Research Record: Journal of the Transportation Research Board , 2095 : 53 – 61 .
  • Wang , J. , Birgisson , B. and Roque , R. 2007 . Windows-based top-down cracking design tool for Florida: using energy ratio concept . Transportation Research Record: Journal of the Transportation Research Board , 2037 : 86 – 96 .
  • Yoo , P.J. and Al-Qadi , I.L. 2007 . Effect of transient dynamic loading on flexible pavements . Transportation Research Record: Journal of the Transportation Research Board , 1990 : 129 – 140 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.