3D Spectral element model with a space-decoupling technique for the response of transversely isotropic pavements to moving vehicular loading

References

• Ahmed, S., & Dey, K. (2020). Resilience modeling concepts in transportation systems: A comprehensive review based on mode, and modeling techniques. Journal of Infrastructure Preservation and Resilience, 1(1), 8. https://doi.org/10.1186/s43065-020-00008-9
   Google Scholar
• Ai, Z. Y., Liu, W. J., & Shi, B. K. (2018). Quasi-static interaction between non-uniform beams and anisotropic permeable saturated multilayered soils with elastic superstrata. Applied Mathematical Modelling, 53, 400–418. https://doi.org/10.1016/j.apm.2017.08.020
   Web of Science ®Google Scholar
• Ai, Z. Y., Mu, J. J., & Ren, G. P. (2018). 3D dynamic response of a transversely isotropic multilayered medium subjected to a moving load. International Journal for Numerical and Analytical Methods in Geomechanics, 42(4), 636–654. https://doi.org/10.1002/nag.2758
   Web of Science ®Google Scholar
• Ai, Z. Y., & Ren, G. P. (2016). Dynamic analysis of a transversely isotropic multilayered half-plane subjected to a moving load. Soil Dynamics and Earthquake Engineering, 83, 162–166. https://doi.org/10.1016/j.soildyn.2016.01.022
   Web of Science ®Google Scholar
• Al-Khoury, R., Scarpas, A., Kasbergen, C., & Blaauwendraad, J. (2001). Spectral element technique for efficient parameter identification of layered media. I. Forward calculation. International Journal of Solids and Structures, 38(9), 1605–1623. https://doi.org/10.1016/S0020-7683(00)00112-8
   Web of Science ®Google Scholar
• Borawski, B., Todd, J. A., Singh, J., & Wolfe, D. E. (2011). The influence of ductile interlayer material on the particle erosion resistance of multilayered TiN based coatings. Wear, 271(11-12), 2890–2898. https://doi.org/10.1016/j.wear.2011.06.004
   Web of Science ®Google Scholar
• Buchwald, V. (1961). Rayleigh waves in transversely isotropic media. The Quarterly Journal of Mechanics and Applied Mathematics, 14(3), 293–318. https://doi.org/10.1093/qjmam/14.3.293
   Web of Science ®Google Scholar
• Cai, Y., Sangghaleh, A., & Pan, E. (2015). Effect of anisotropic base/interlayer on the mechanistic responses of layered pavements. Computers and Geotechnics, 65, 250–257. https://doi.org/10.1016/j.compgeo.2014.12.014
   Web of Science ®Google Scholar
• Chen, L. (2015). Green’s function for a transversely isotropic multi-layered half-space: An application of the precise integration method. Acta Mechanica, 226(11), 3881–3904. https://doi.org/10.1007/s00707-015-1435-y
   Web of Science ®Google Scholar
• Chun, S., Kim, K., Greene, J., & Choubane, B. (2015). Evaluation of interlayer bonding condition on structural response characteristics of asphalt pavement using finite element analysis and full-scale field tests. Construction and Building Materials, 96, 307–318. https://doi.org/10.1016/j.conbuildmat.2015.08.031
   Web of Science ®Google Scholar
• Chupin, O., Chabot, A., Piau, J.-M., & Duhamel, D. (2010). Influence of sliding interfaces on the response of a layered viscoelastic medium under a moving load. International Journal of Solids and Structures, 47(25-26), 3435–3446. https://doi.org/10.1016/j.ijsolstr.2010.08.020
   Web of Science ®Google Scholar
• Daniele, F. (1997). “The spectral element method.” spectral elements for transport-dominated equations. Springer.
   Google Scholar
• Eason, G. (1965). The stresses produced in a semi-infinite solid by a moving surface force. International Journal of Engineering Science, 2(6), 581–609. https://doi.org/10.1016/0020-7225(65)90038-8
   Google Scholar
• Feng, Y., Okamoto, R. J., Namani, R., Genin, G. M., & Bayly, P. V. (2013). Measurements of mechanical anisotropy in brain tissue and implications for transversely isotropic material models of white matter. Journal of the Mechanical Behavior of Biomedical Materials, 23, 117–132. https://doi.org/10.1016/j.jmbbm.2013.04.007
   PubMed Web of Science ®Google Scholar
• Graczyk, M., Zofka, A., & Rafa, J. (2014, October 19–22). Analytical solution of pavement deflections and its application to the TSD measurements. 26th Australian Road research board conference, Sydney, Australai.
   Google Scholar
• Jannoun, G., Hachem, E., Veysset, J., & Coupez, T. (2015). Anisotropic meshing with time-stepping control for unsteady convection-dominated problems. Applied Mathematical Modelling, 39(7), 1899–1916. https://doi.org/10.1016/j.apm.2014.10.005
   Web of Science ®Google Scholar
• Kaplunov, J., Prikazchikov, D., Erbaş, B., & Şahin, O. (2013). On a 3D moving load problem for an elastic half space. Wave Motion (north-holland Publishing Company), 50(8), 1229–1238. https://doi.org/10.1016/j.wavemoti.2012.12.008
   Web of Science ®Google Scholar
• Khazanovich, L., & Levenberg, E. (2020). Analytical solution for a viscoelastic plate on a pasternak foundation. Road Materials and Pavement Design, 21(3), 800–820. https://doi.org/10.1080/14680629.2018.1530693
   Web of Science ®Google Scholar
• Khazanovich, L., Zofka, A., & Marasteanu, M. (2010). Parameter identification procedure for heterogeneous viscoelastic composites using iterative functions. Journal of Engineering Mechanics, 136(7), 849–857. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000126
   Web of Science ®Google Scholar
• Kim, J., & Papageorgiou Apostolos, S. (1993). Discrete wave-number boundary-element method for 3-D scattering problems. Journal of Engineering Mechanics, 119(3), 603–624. https://doi.org/10.1061/(ASCE)0733-9399(1993)119:3(603)
   Web of Science ®Google Scholar
• Lee, H. S. (2014). Viscowave - a new solution for viscoelastic wave propagation of layered structures subjected to an impact load. International Journal of Pavement Engineering, 15(6), 542–557. https://doi.org/10.1080/10298436.2013.782401
   Web of Science ®Google Scholar
• Lin, W., Zhou, F., Luo, W., & You, L. (2021). Recycling the waste dolomite powder with excellent consolidation properties: Sample synthesis, mechanical evaluation, and consolidation mechanism analysis. Construction and Building Materials, 290, 123198. https://doi.org/10.1016/j.conbuildmat.2021.123198
   Web of Science ®Google Scholar
• Liu, K., Xu, P., Wang, F., Jin, C., Liu, Q., Pang, H., & Xie, H. (2021). The accumulated stress damage and residual life prediction of unreinforced concrete pavement with electric heating pipes. Construction and Building Materials, 278, 122258. https://doi.org/10.1016/j.conbuildmat.2021.122258
   Web of Science ®Google Scholar
• Minh, P. P., Van Do, T., Duc, D. H., & Duc, N. D. (2018). The stability of cracked rectangular plate with variable thickness using phase field method. Thin-Walled Structures, 129, 157–165. https://doi.org/10.1016/j.tws.2018.03.028
   Web of Science ®Google Scholar
• Pasetto, M., Pasquini, E., Giacomello, G., & Baliello, A. (2019). Innovative composite materials as reinforcing interlayer systems for asphalt pavements: An experimental study. Road Materials and Pavement Design, 20(1), 1–15. https://doi.org/10.1080/14680629.2017.1374991
   Google Scholar
• Shi, X. (2020). More than smart pavements: Connected infrastructure paves the way for enhanced winter safety and mobility on highways. Journal of Infrastructure Preservation and Resilience, 1(1), 13. https://doi.org/10.1186/s43065-020-00014-x
   Google Scholar
• Siddharthan, R., Zafir, Z., & Norris, G. M. (1993). Moving load response of layered soil. II: Verification and application. Journal of Engineering Mechanics, 119(10), 2072–2089. https://doi.org/10.1061/(ASCE)0733-9399(1993)119:10(2072)
   Web of Science ®Google Scholar
• Sousa, J. B. M., & da Silva, A. R. (2010). Analytical and numerical analysis of multilayered beams with interlayer slip. Engineering Structures, 32(6), 1671–1680. https://doi.org/10.1016/j.engstruct.2010.02.015
   Web of Science ®Google Scholar
• van Dalen, K. N., Tsouvalas, A., Metrikine, A. V., & Hoving, J. S. (2015). Transition radiation excited by a surface load that moves over the interface of two elastic layers. International Journal of Solids and Structures, 73-74, 99–112. https://doi.org/10.1016/j.ijsolstr.2015.07.001
   Web of Science ®Google Scholar
• Vu-Bac, N., Nguyen-Xuan, H., Chen, L., Lee, C.-K., Zi, G., Zhuang, X., Liu, G. R., & Rabczuk, T. (2013). A phantom-node method with edge-based strain smoothing for linear elastic fracture mechanics. Journal of Applied Mathematics, 2013. https://doi.org/10.1155/2013/978026
   Google Scholar
• Wang, H., & Al-Qadi, I. L. (2013). Importance of nonlinear anisotropic modeling of granular base for predicting maximum viscoelastic pavement responses under moving vehicular loading. Journal of Engineering Mechanics-Asce, 139(1), 29–38. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000465
   Web of Science ®Google Scholar
• Wang, L., Hoyos, L. R., Wang, J., Voyiadjis, G., & Abadie, C. (2005). Anisotropic properties of asphalt concrete: Characterization and implications for pavement design and analysis. Journal of Materials in Civil Engineering, 17(5), 535–543. https://doi.org/10.1061/(ASCE)0899-1561(2005)17:5(535)
   Web of Science ®Google Scholar
• You, L., Yan, K., Hu, Y., Liu, J., & Ge, D. (2018). Spectral element method for dynamic response of transversely isotropic asphalt pavement under impact load. Road Materials and Pavement Design, 19(1), 223–238. https://doi.org/10.1080/14680629.2016.1230513
   Web of Science ®Google Scholar
• You, L., Yan, K., Hu, Y., & Zollinger, D. G. (2016). Spectral element solution for transversely isotropic elastic multi-layered structures subjected to axisymmetric loading. Computers and Geotechnics, 72, 67–73. https://doi.org/10.1016/j.compgeo.2015.11.004
   Web of Science ®Google Scholar
• You, L., Yan, K., Liu, N., Shi, T., & Lv, S. (2019). Assessing the mechanical responses for anisotropic multi-layered medium under harmonic moving load by spectral element method (SEM). Applied Mathematical Modelling, 67, 22–37. https://doi.org/10.1016/j.apm.2018.10.010
   Web of Science ®Google Scholar
• Zhan, Y.-X., Yao, H.-L., Zhang, J.-B., & Wu, W.-P. (2016, December 25–27). Dynamic analysis of pavement and multi-layered transversely isotropic saturated ground system subjected to a rectangular moving load. Mechanics and mechanical engineering: Proceedings of the 2015 International Conference (MME2015), World Scientific.
   Google Scholar
• Zhao, M., van Dalen, K. N., Barbosa, J. M., & Metrikine, A. V. (2016, October 28–30). Semi-analytical solution for the dynamic response of a cylindrical structure embedded in a homogeneous half-space. International symposium on environmental vibration and transportation geodynamics, Springer.
   Google Scholar