Study on overflow problem of numerical integration for layered elastic half-space systems

References

• Ai, Z. Y., Cang, N. R., & Han, J. (2012). Analytical layer-element solutions for a multi-layered transversely isotropic elastic medium subjected to axisymmetric loading. Journal of Zhejiang University Science A, 13(1), 9–17. doi: 10.1631/jzus.A1100163
   Web of Science ®Google Scholar
• Ai, Z. Y., Yue, Z. Q., Tham, L. G. & Yang, M. (2002). Extended Sneddon and Muki solutions for multilayered elastic materials. International Journal of Engineering Science, 40(13), 1453–1483. doi: 10.1016/S0020-7225(02)00022-8
   Web of Science ®Google Scholar
• Bufler, H. (1971). Theory of elasticity of a multilayered medium. Journal of Elasticity, 1(2), 125–143. doi: 10.1007/BF00046464
   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. doi: 10.1016/j.compgeo.2014.12.014
   Web of Science ®Google Scholar
• Chen, E. Y. G., & Pan, E. (2008). Responses of a transversely isotropic layered half-space to multiple horizontal loads. Symposium on Pavement Mechanics and Materials, 18th ASCE Engineering Mechanics Division Conference.
   Google Scholar
• De Jong, D. L., Peutz, M. G. F., & Korswagen, A. R. (1979). Computer program BISAR, layered systems under normal and tangential surface loads. Koninklijke/Shell Laboratorium, Amsterdam, Shell Research B.V.
   Google Scholar
• Erlingsson, S., & Ahmed, A. W. (2013). Fast layered elastic response program for the analysis of flexible pavement structures. Road Materials and Pavement Design, 14(1), 196–210. doi: 10.1080/14680629.2012.757558
   Web of Science ®Google Scholar
• Gao, F., & Lu, Z. (2010). Dynamic responses of flexible multi-layered pavement subjected to vehicle loads. In 2010 International conference on mechanic automation and control engineering (MACE) (pp. 5099–5104). Harbin: IEEE.
   Google Scholar
• Guo, D. Z., & Feng, D. C. (2001). Mechanics of layered elastic systems. Harbin: Harbin Institute of Technology Press. (In Chinese).
   Google Scholar
• Hayhoe, G. F. (2002). LEAF – A new layered elastic computational program for FAA pavement design and evaluation procedures. Federal Aviation Administration Airport Technology Transfer Conference.
   Google Scholar
• JTG D50-2006. Specifications for design of highway asphalt pavement. (In Chinese).
   Google Scholar
• Kawana, F., Horiuchi, S., Terada, M., Kubo, K., & Matsui, K. (2013). Theoretical solution based on volumetric strain of elastic multi layered structures under axisymmetrically distributed load. In 2013 Airfield and highway pavement conference: Sustainable and efficient pavements (pp. 383–394). ASCE, Los Angeles, California, June 9–12.
   Google Scholar
• Khazanovich, L., & Wang, Q. C. (2007). MnLayer: High-performance layered elastic analysis program. Transportation Research Record: Journal of the Transportation Research Board, 2037, 63–75. doi: 10.3141/2037-06
   Web of Science ®Google Scholar
• Kimura, T. (2014). Studies on stress distribution in pavements subjected to surface shear forces. Proceedings of the Japan Academy, Series B, 90(2), 47–55. doi: 10.2183/pjab.90.47
   Google Scholar
• Lu, Z., Yao, H. L., Wu, W. P., & Cheng, P. (2012). Dynamic stress and deformation of a layered road structure under vehicle traffic loads: Experimental measurements and numerical calculations. Soil Dynamics & Earthquake Engineering, 39(4), 100–112.
   Google Scholar
• Maina, J., Ozawa, Y., & Matsui, K. (2009). Axi-symmetric analysis of vertically inhomogeneous elastic multilayered systems. Bearing Capacity of Roads, Railways and Airfields, 8th International Conference (BCR2A’09).
   Google Scholar
• Maina, J., Ozawa, Y., & Matsui, K. (2012). Linear elastic analysis of pavement structure under non-circular loading. Road Materials and Pavement Design, 13(3), 403–421. doi: 10.1080/14680629.2012.705419
   Web of Science ®Google Scholar
• Pan, E. (1989). Static response of a transversely isotropic and layered half-space to general surface loads. Physics of the Earth and Planetary Interiors, 54(3–4), 353–363. doi: 10.1016/0031-9201(89)90252-5
   Web of Science ®Google Scholar
• Sha, Q. (2010). How to achieve scientific development concept, implement resource-saving and environment-friendly idea in highway construction. Journal of Highway & Transportation Research & Development, 12, 1–5. (In Chinese)
   Google Scholar
• Wang, D., Roesler, J. R., & Guo, D. Z. (2011). Innovative algorithm to solve axisymmetric displacement and stress fields in multilayered pavement systems. Journal of Transportation Engineering, 137(4), 287–295. doi: 10.1061/(ASCE)TE.1943-5436.0000208
   Web of Science ®Google Scholar
• Wang, K. (1987). Analysis and calculation of stresses and displacements in layered elastic systems. Acta Mechanica Sinica, 3(3), 251–260. doi: 10.1007/BF02486771
   Google Scholar
• Wang, K. (2009). Analysis and calculation of mechanics in layered elastic systems. Beijing: Science Press. (In Chinese).
   Google Scholar
• Wang, K. (2012). The problem of elasticity for a semi-infinite solid under the action of the axisymmetric torsional loads on its surface. Chinese Quarterly of Mechanics, 3, 420–426. (In Chinese)
   Google Scholar
• Wang, W., & Ishikawa, H. (2001). A method for linear elasto-static analysis of multi-layered axisymmetrical bodies using hankel's transform. Computational Mechanics, 27(6), 474–483. doi: 10.1007/s004660100258
   Web of Science ®Google Scholar
• Xu, Z. L. (1988). Thoery of elasticity. Beijing: Higher Education Press. (In Chinese)
   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. doi: 10.1016/j.compgeo.2015.11.004
   Web of Science ®Google Scholar
• Yue, Z. Q. (1995). On generalized kelvin solutions in a multilayered elastic medium. Journal of Elasticity, 40(1), 1–43. doi: 10.1007/BF00042082
   Web of Science ®Google Scholar