Modelling of the fatigue cracking resistance of grid reinforced asphalt concrete by coupling fast BEM and FEM
Source abstract
Abstract
We present a computational modelling approach aimed at investigating the effect of fibre grid reinforcement on crack opening displacement and fatigue crack propagation. Grid reinforcements are modelled using elastic membrane finite elements, while the cracked concrete is treated using a symmetric boundary element method (BEM), which in particular allows easy geometrical modelling and meshing of cracks. The BEM is accelerated by the fast multipole method, allowing the handling of potentially large BEM models entailed by three-dimensional configurations hosting multiple cracks. Fatigue crack growth is modelled using the Paris law. The proposed computational approach is first verified on a reinforced cracked beam, and then applied to a three-dimensional configuration featuring a grid-reinforced asphalt pavement.
Source: openalex_inverted_index · Quality: baseline
Research context
OpenAlex topics: Numerical methods in engineering · Geotechnical Engineering and Underground Structures · Fluid Dynamics Simulations and Interactions
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
ICube, UMR 7357, CNRS, Université de Strasbourg, Strasbourg Cedex, France
LTDS, UMR 5513, CNRS, Université de Lyon, Saint-Etienne Cedex 2, France
POEMS, UMR 7231, CNRS, ENSTA, INRIA, Palaiseau Cedex, France
Funding
French National Research Agency · Grand-Est region
References (66)
Show source-provided references
1. 10.1080/10298436.2014.89331510.1080/10298436.2014.893315 ↗
2. 10.1243/03093247V22420310.1243/03093247V224203 ↗
3. 10.1080/14680629.2016.116328010.1080/14680629.2016.1163280 ↗
4. 10.1080/14680629.2016.115997310.1080/14680629.2016.1159973 ↗
5. Bacchi, M. (2009). Evaluation of the effects of geo-composite reinforcement on fatigue life of asphalt pavements. In Proceedings of the 2nd Workshop on Four-Point Bending. University of minho.
6. Baek J. · Asphalt Paving Technology: Association of Asphalt Paving Technologists-Proceedings of the Technical Sessions · 2009 · 78 · 789
7. 10.1002/nme.162010010310.1002/nme.1620100103 ↗
8. 10.1002/(SICI)1097-0207(19990620)45:5<601::AID-NME598>3.0.CO;2-S10.1002/(SICI)1097-0207(19990620)45:5<601::AID-NME598>3.0.CO;2-S ↗
9. Belytschko T. · 2014
10. Bondt, A.D., Schrader, J., Bijsterveld, W.V. & Long, D. (2005). Scientific background of arcdeso-version April 2005 (Technical Report). Internal Report-Ooms Nederland Holding.
11. Bonnet M. · 1999
12. 10.1016/S0045-7825(03)00391-810.1016/S0045-7825(03)00391-8 ↗
13. 10.1016/0307-904X(79)90053-210.1016/0307-904X(79)90053-2 ↗
14. 10.1617/s11527-013-0207-110.1617/s11527-013-0207-1 ↗
15. 10.1680/jgein.17.0003110.1680/jgein.17.00031 ↗
16. Coni, M. & Bianco, P. (2000). Steel reinforcement influence on the dynamic behaviour of bituminous pavement. In Pro 11: 4th International RILEM Conference on Reflective Cracking in Pavement Research in Practice (Vol. 11, p. 6). RILEM Publications SARL.
17. 10.1007/978-3-662-21908-9_2610.1007/978-3-662-21908-9_26 ↗
18. 10.1007/BF0120114910.1007/BF01201149 ↗
19. 10.1137/072707010.1137/0727070 ↗
20. 10.1002/nme.459710.1002/nme.4597 ↗
21. 10.1007/s11075-019-00781-z10.1007/s11075-019-00781-z ↗
22. 10.1016/j.enganabound.2019.05.01910.1016/j.enganabound.2019.05.019 ↗
23. Di Benedetto H. · 2004
24. 10.1115/1.365689710.1115/1.3656897 ↗
25. 10.1023/A:102077050693110.1023/A:1020770506931 ↗
26. 10.1002/nme.291410.1002/nme.2914 ↗
27. 10.1002/(SICI)1097-0207(20000620)48:5<633::AID-NME874>3.0.CO;2-K10.1002/(SICI)1097-0207(20000620)48:5<633::AID-NME874>3.0.CO;2-K ↗
28. 10.1016/0021-9991(87)90140-910.1016/0021-9991(87)90140-9 ↗
29. 10.1016/j.trgeo.2017.08.00510.1016/j.trgeo.2017.08.005 ↗
30. Gwinner, J. & Stephan, E. P. (2018). FEM-BEM coupling. In Advanced boundary element methods: Treatment of boundary value, transmission and contact problems (pp. 451–536). Springer International Publishing.10.1007/978-3-319-92001-6_12 ↗
31. 10.1007/s00419-006-0037-510.1007/s00419-006-0037-5 ↗
32. Holek M. · Computer Methods in Materials Science · 2020 · 20
33. 10.1007/978-94-007-4566-7_11910.1007/978-94-007-4566-7_119 ↗
34. 10.1016/j.geotexmem.2008.05.00710.1016/j.geotexmem.2008.05.007 ↗
35. Le Fichoux, E. (2011). Présentation et utilisation de CAST3M. ENSTA-LME (http://www-cast3m.cea.fr).
36. 10.1016/S0045-7825(97)00199-010.1016/S0045-7825(97)00199-0 ↗
37. Ma, S. (2005). Propagation of the mixed mode crack in a welded specimen in elastic-plastic material (Theses). Université Blaise Pascal – Clermont-Ferrand II. https://tel.archives-ouvertes.fr/tel-00664816.
38. Margonari, M. (2004). Boundary element techniques for three dimensional problems in elastostatics [PhD Thesis]. University of Trento.
39. 10.1016/0045-7949(94)90072-810.1016/0045-7949(94)90072-8 ↗
40. 10.1007/978-94-007-4566-7_11510.1007/978-94-007-4566-7_115 ↗
41. Mouhoubi, S. (2000). Symmetric FEM-BEM coupling in solid mechanics: Formulation and implementation in a finite element code [PhD Thesis]. Université de Limoges.
42. 10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO;2-J10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO;2-J ↗
43. 10.1080/14680629.2013.77476310.1080/14680629.2013.774763 ↗
44. 10.1520/JTE2018093310.1520/JTE20180933 ↗
45. 10.1080/14680629.2021.190630410.1080/14680629.2021.1906304 ↗
46. 10.1016/j.enganabound.2014.11.01510.1016/j.enganabound.2014.11.015 ↗
47. 10.1016/j.cma.2005.09.02010.1016/j.cma.2005.09.020 ↗
48. 10.1115/1.365690010.1115/1.3656900 ↗
49. 10.1016/j.enganabound.2012.07.00410.1016/j.enganabound.2012.07.004 ↗
50. 10.1002/0471238961.0618010303181521.a01.pub210.1002/0471238961.0618010303181521.a01.pub2 ↗
51. 10.3141/2507-0410.3141/2507-04 ↗
52. 10.1080/14680629.2018.143976410.1080/14680629.2018.1439764 ↗
53. Springhetti R. · Computer Modeling in Engineering and Sciences · 2006 · 13 · 67
54. 10.1002/nme.234410.1002/nme.2344 ↗
55. 10.1016/B978-0-12-385001-0.00010-910.1016/B978-0-12-385001-0.00010-9 ↗
56. 10.1080/14680629.2016.120152510.1080/14680629.2016.1201525 ↗
57. Tam A. B. · Construction and Building Materials · 2020 · 23910.1016/j.conbuildmat.2019.117873 ↗
58. 10.1016/j.geotexmem.2015.06.00410.1016/j.geotexmem.2015.06.004 ↗
59. Thom, N. (2000). A simplified computer model for grid reinforced asphalt overlays. In Proceedings of the 4th International RILEM Conference on Reflective Cracking in Pavements (pp. 37–46). RILEM Publications SARL.
60. 10.1016/j.enganabound.2014.10.00410.1016/j.enganabound.2014.10.004 ↗
61. Vanelstraete, A., Leonard, D. & Veys, J. (2000). Structural design of roads with steel reinforcing nettings. In Proceedings of the 4th Int. RILEM Conf. Cracking in Pavements (pp. 57–67). RILEM Publications SARL.
62. 10.1016/j.enganabound.2005.04.00410.1016/j.enganabound.2005.04.004 ↗
63. Yoshida, K. (2001). Applications of fast multipole method to boundary integral equation method [PhD Thesis]. Kyoto University.
64. 10.1002/nme.162011021010.1002/nme.1620110210 ↗
65. 10.1080/14680629.2019.159022210.1080/14680629.2019.1590222 ↗
66. 10.1080/14680629.2016.126677510.1080/14680629.2016.1266775 ↗