References
- Ai, Z. Y., Cheng, Z. Y., & Han, J. (2008). State space solution to three-dimensional consolidation of multi-layered soils. International Journal of Engineering Science, 46, 486–498.
- Ai, Z. Y., Jiang, X. B., & Hu, Y. D. (2014). Analytical layer-element solution for 3D transversely isotropic multilayered foundation. Soils and Foundations, 54, 967–973.10.1016/j.sandf.2014.09.002
- Algin, H. M. (2000). Stresses from linearly distributed pressures over rectangular areas. International Journal for Numerical and Analytical Methods in Geomechanics, 24, 681–692.10.1002/(ISSN)1096-9853
- Algin, H. M. (2001). Vertical stress formula for pressure over rectangular areas. Géotechnique, 51, 719–722.10.1680/geot.2001.51.8.719
- Anyaegbunam, A. J. (2014). Complete stresses and displacements in a cross-anisotropic half-space caused by a surface vertical point load. International Journal of Geomechanics, 14, 171–181.10.1061/(ASCE)GM.1943-5622.0000260
- Barden, L. (1963). Stresses and displacements in a cross-anisotropic soil. Géotechnique, 13, 198–210.10.1680/geot.1963.13.3.198
- Birk, C., & Behnke, R. (2012). A modified scaled boundary finite element method for three-dimensional dynamic soil-structure interaction in layered soil. International Journal for Numerical Methods in Engineering, 89, 371–402.10.1002/nme.v89.3
- Booker, J. R., & Small, J. C. (1982a). Finite layer analysis of consolidation. I. International Journal for Numerical and Analytical Methods in Geomechanics, 6, 151–171.10.1002/(ISSN)1096-9853
- Booker, J. R., & Small, J. C. (1982b). Finite layer analysis of consolidation. II. International Journal for Numerical and Analytical Methods in Geomechanics, 6, 173–194.10.1002/(ISSN)1096-9853
- Cai, Y., Pan, E. N., & Sangghaleh, A. (2015). Inverse calculation of elastic moduli in cross-anisotropic and layered pavements by system identification method. Inverse Problems in Science and Engineering, 23, 718–735.10.1080/17415977.2014.933833
- Cai, Y., Sangghaleh, A., & Pan, E. N. (2015). Effect of anisotropic base/interlayer on the mechanistic responses of layered pavements. Computers and Geotechnics, 65, 250–257.10.1016/j.compgeo.2014.12.014
- Chen, W. T. (1971). Computation of stresses and displacements in a layered elastic medium. International Journal of Engineering Science, 9, 775–800.10.1016/0020-7225(71)90072-3
- Chen, X. J., Birk, C., & Song, C. M. (2015). Transient analysis of wave propagation in layered soil by using the scaled boundary finite element method. Computers and Geotechnics, 63, 1–12.10.1016/j.compgeo.2014.08.008
- Ding, H. J., Chen, W. Q., & Zhang, L. C. (2006). Elasticity of transversely isotropic materials. Dordrecht: Springer.
- D’Urso, M. G., & Marmo, F. (2015). Vertical stress distribution in isotropic half-spaces due to surface vertical loadings acting over polygonal domains. ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, 95, 91–110.10.1002/zamm.v95.1
- Garg, N. R., & Rani, S. (1992). Static deformation of a stratified medium by general surface loads. Indian Journal of Pure and Applied Mathematics, 23, 675–692.
- Garg, N. R., & Singh, S. J. (1987). 2-D response of a transversely isotropic multilayered half-space due to surface Loads. Indian Journal of Pure and Applied Mathematics, 18, 763–777.
- Genes, M. C., & Kocak, S. (2005). Dynamic soil–structure interaction analysis of layered unbounded media via a coupled finite element/boundary element/scaled boundary finite element model. International Journal for Numerical Methods in Engineering, 62, 798–823.10.1002/(ISSN)1097-0207
- Groth, N. N., & Chapman, C. R. (1969). Computer evaluation of deformations due to subsurface loads in a semi-infinite elastic medium (Bachelor thesis). University of Sydney, Sidney, NSW, Australia.
- Holl, D. L. (1941). Stress transmission in earths. Proceedings of the 20th Annual Meeting of the Highway Research Board, Washington, DC, USA.
- Hu, T. B., Wang, C. D., & Liao, J. J. (2007). Elastic solutions of displacements for a transversely isotropic full space with inclined planes of symmetry subjected to a point load. International Journal for Numerical and Analytical Methods in Geomechanics, 31, 1401–1442.10.1002/(ISSN)1096-9853
- Liao, J. J., & Wang, C. D. (1998). Elastic solutions for a transversely isotropic half-space subjected to a point load. International Journal for Numerical and Analytical Methods in Geomechanics, 22, 425–447.10.1002/(ISSN)1096-9853
- Lin, G., Han, Z. J., & Li, J. B. (2013). An efficient approach for dynamic impedance of surface footing on layered half-space. Soil Dynamics and Earthquake Engineering, 49, 39–51.10.1016/j.soildyn.2013.01.008
- Lin, G., Han, Z. J., Zhong, H., & Li, J. B. (2013). A precise integration approach for dynamic impedance of rigid strip footing on arbitrary anisotropic layered half-space. Soil Dynamics and Earthquake Engineering, 49, 96–108.10.1016/j.soildyn.2013.01.009
- Lin, W., Kuo, C. H., & Keer, L. M. (1991). Analysis of a transversely isotropic half space under normal and tangential loadings. Journal of Tribology, 113, 335–338.10.1115/1.2920625
- Love, A. E. H. (1927). A treatise on the mathematical theory of elasticity. New York, NY: Dover.
- Madan, D. K., Dahiya, A., & Chugh, S. (2012). Static response of transversely isotropic elastic medium with irregularity present in the medium. International Journal of Mechanical Engineering, 2, 1–11.
- Marmo, F., & Rosati, L. (2016). A general approach to the solution of Boussinesq’s problem for polynomial pressures acting over polygonal domains. Journal of Elasticity, 122, 75–112.10.1007/s10659-015-9534-5
- Marmo, F., Sessa, S., & Rosati, L. (2016). Analytical solution of the Cerruti problem under linearly distributed horizontal loads over polygonal domains. Journal of Elasticity, 124, 27–56.10.1007/s10659-015-9560-3
- Marmo, F., Toraldo, F., & Rosati, L. (2016). Analytical formulas and design charts for transversely isotropic half-spaces subject to linearly distributed pressures. Meccanica, 1–20.
- Newmark, N. M. (1935). Simplified computation of vertical pressures in elastic foundations. Engineering Experiment Station Circular No 24, University of Illinois, Urbana-Champaign, Illinois, USA.
- Pan, E. N. (1989). Static response of a transversely isotropic and layered half-space to general surface loads. Physics of the Earth and Planetary Interiors, 54, 353–363.
- Pan, E. N., & Chen, W. Q. (2015). Static green’s functions in anisotropic media. New York, NY: Cambridge University Press.
- Small, J. C., & Booker, J. R. (1984). Finite layer analysis of layered elastic materials using a flexibility approach. Part 1 – strip loadings. International Journal for Numerical Methods in Engineering, 20, 1025–1037.10.1002/(ISSN)1097-0207
- Small, J. C., & Booker, J. R. (1986). Finite layer analysis of layered elastic materials using a flexibility approach. Part 2 – circular and rectangular loadings. International Journal for Numerical Methods in Engineering, 23, 959–978.10.1002/(ISSN)1097-0207
- Song, C. M., & Wolf, J. P. (1997). The scaled boundary finite-element method – alias consistent infinitesimal finite-element cell method – for elastodynamics. Computer Methods in Applied Mechanics and Engineering, 147, 329–355.10.1016/S0045-7825(97)00021-2
- Wang, C. D. (2004). Three-dimensional nonlinearly varying rectangular loads on a transversely isotropic half-space. International Journal of Geomechanics, 4, 240–253.10.1061/(ASCE)1532-3641(2004)4:4(240)
- Wang, C. D. (2007). Lateral force induced by rectangular surcharge loads on a cross-anisotropic backfill. Journal of Geotechnical and Geoenvironmental Engineering, 133, 1259–1276.10.1061/(ASCE)1090-0241(2007)133:10(1259)
- Wang, C. D. (2008). Lateral stresses caused by uniform rectangular area loads on a cross-anisotropic backfill. Géotechnique, 58, 757–763.10.1680/geot.2008.58.9.757
- Wang, C. D., & Liao, J. J. (1998). Stress influence charts for transversely isotropic rocks. International Journal of Rock Mechanics and Mining Sciences, 35, 771–785.10.1016/S0148-9062(98)00015-1
- Wang, C. D., & Liao, J. J. (1999a). Elastic solutions for a transversely isotropic half-space subjected to buried asymmetric-loads. International Journal for Numerical and Analytical Methods in Geomechanics, 23, 115–139.10.1002/(ISSN)1096-9853
- Wang, C. D., & Liao, J. J. (1999b). Computing displacements in transversely isotropic rocks using influence charts. Rock Mechanics and Rock Engineering, 32, 51–70.10.1007/s006030050043
- Wang, C. D., & Liao, J. J. (2001). Elastic solutions for a transversely isotropic half-space subjected to arbitrarily shaped loads using triangulating technique. International Journal of Geomechanics, 1, 193–224.10.1061/(ASCE)1532-3641(2001)1:2(193)
- Wang, C. D., & Liao, J. J. (2002a). Elastic solutions of displacements for a transversely isotropic half-space subjected to three-dimensional buried parabolic rectangular loads. International Journal of Solids and Structures, 39, 4805–4824.10.1016/S0020-7683(02)00370-0
- Wang, C. D., & Liao, J. J. (2002b). Elastic solutions for stresses in a transversely isotropic half-space subjected to three-dimensional buried parabolic rectangular loads. International Journal for Numerical and Analytical Methods in Geomechanics, 26, 1449–1476.10.1002/(ISSN)1096-9853
- Wang, C. D., Wang, W. J., & Ruan, Z. W. (2013). Average increase in vertical stress due to uniform embedded rectangular loadings in cross-anisotropic materials. Mechanics Research Communications, 53, 9–14.10.1016/j.mechrescom.2013.07.010
- Wang, C. D., Ye, Z. Q., & Ruan, Z. W. (2009). Displacement and stress distributions under a uniform inclined rectangular load on a cross-anisotropic geomaterial. International Journal for Numerical and Analytical Methods in Geomechanics, 33, 709–748.10.1002/nag.v33:6
- Wolf, J. P. (2003). The scaled boundary finite element method. Chichester: Wiley.
- Wolf, J. P., & Song, C. (2000). The scaled boundary finite-element method – a primer: derivations. Computers & Structures, 78, 191–210.10.1016/S0045-7949(00)00099-7
- Wu, S. M., Liang, J., & Hu, Y. Y. (2000). Stress in transversely isotropic half-space with typical loads acting on its surface. Applied Mathematics and Mechanics, 21, 901–908.
- Xiao, H. T., & Yue, Z. Q. (2013). Elastic fields in two joined transversely isotropic media of infinite extent as a result of rectangular loading. International Journal for Numerical and Analytical Methods in Geomechanics, 37, 247–277.10.1002/nag.v37.3
- Yue, Z. Q., Xiao, H. T., Tham, L. G., Lee, C. F., & Yin, J. H. (2005). Stresses and displacements of a transversely isotropic elastic half-space due to rectangular loadings. Engineering Analysis with Boundary Elements, 29, 647–671.10.1016/j.enganabound.2005.01.015
- Zhang, P. C., Liu, J., Lin, G., & Wang, W. W. (2015). Axisymmetric dynamic response of the multi-layered transversely isotropic medium. Soil Dynamics and Earthquake Engineering, 78, 1–18.10.1016/j.soildyn.2015.07.007
- Zhang, P. C., Lin, G., Liu, J., & Wang, W. W. (2016). Response of multilayered transversely isotropic medium due to axisymmetric loads. International Journal for Numerical and Analytical Methods in Geomechanics, 40, 827–864.10.1002/nag.v40.6
- Zhong, W. X. (2004). On precise integration method. Journal of Computational and Applied Mathematics, 163, 59–78.
- Zhong, W. X., Lin, J. H., & Gao, Q. (2004). The precise computation for wave propagation in stratified materials. International Journal for Numerical Methods in Engineering, 60, 11–25.10.1002/(ISSN)1097-0207