References
- A J, L., A. V. Lyamin, and R. S. Merifield. 2009. Seismic rock slope stability charts based on limit analysis methods. Computers and Geotechnics 36 (1): 135–48. doi: https://doi.org/10.1016/j.compgeo.2008.01.004.
- Al-Tabbaa, A., L. Russell, and M. O’Reilly. 1989. Model tests of footings above shallow cavities. Ground Engineering 22 (7): 39–42.
- Azam, G., M. Jao, and M. C. Wang. 1997. Cavity effect on stability of strip footing in two-layer soils. Journal of Geotechnical Engineering 28 (2): 151–64.
- Badie, A., and M. C. Wang. 1984. Stability of spread footing above void in clay. Journal of Geotechnical Engineering 110 (11): 1591–605. doi: https://doi.org/10.1061/(ASCE)0733-9410(1984)110:11(1591).
- Baus, R. L., and M. C. Wang. 1983. Bearing capacity of strip footing above void. Journal of Geotechnical Engineering 109 (1): 1–14. doi: https://doi.org/10.1061/(ASCE)0733-9410(1983)109:1(1).
- Cinicioglu, O., and A. Erkli. 2018. Seismic bearing capacity of surficial foundations on sloping cohesive ground. Soil Dynamics and Earthquake Engineering 111: 53–64. doi: https://doi.org/10.1016/j.soildyn.2018.04.027.
- Ciria, H., J. Peraire, and J. Bonet. 2008. Mesh adaptive computation of upper and lower bounds in limit analysis. International Journal for Numerical Methods in Engineering 75 (8): 899–944. doi: https://doi.org/10.1002/nme.2275.
- Georgiadis, K. 2010. Undrained bearing capacity of strip footings on slopes. Journal of Geotechnical and Geoenvironmental Engineering 136 (5): 677–85. doi: https://doi.org/10.1061/(ASCE)GT.1943-5606.0000269.
- Herskovits, J., P. Mappa, E. Goulart, and C. M. Mota Soares. 2005. Mathematical programming models and algorithms for engineering design optimization. Computer Methods in Applied Mechanics and Engineering 194 (30–33): 3244–68. doi: https://doi.org/10.1016/j.cma.2004.12.017.
- Kiyosumi, M., O. Kusakabe, and M. Ohuchi. 2011. Model tests and analyses of bearing capacity of strip footing on stiff ground with voids. Journal of Geotechnical and Geoenvironmental Engineering 137 (4): 363–75. doi: https://doi.org/10.1061/(ASCE)GT.1943-5606.0000440.
- Kiyosumi, M., O. Kusakabe, M. Ohuchi, and F. Le Peng. 2007. Yielding pressure of spread footing above multiple voids. Journal of Geotechnical and Geoenvironmental Engineering 133 (12): 1522–31. doi: https://doi.org/10.1061/(ASCE)1090-0241(2007)133:12(1522).
- Krabbenhoft, K. 2018. Static and seismic earth pressure coefficients for vertical walls with horizontal backfill. Soil Dynamics and Earthquake Engineering 104: 403–07. doi: https://doi.org/10.1016/j.soildyn.2017.11.011.
- Krabbenhøft, K., A. V. Lyamin, M. Hjiaj, and S. W. Sloan. 2005. A new discontinuous upper bound limit analysis formulation. International Journal for Numerical Methods in Engineering 63 (7): 1069–88. doi: https://doi.org/10.1002/nme.1314.
- Lavasan, A. A., A. Talsaz, M. Ghazavi, and T. Schanz. 2016. Behavior of shallow strip footing on twin voids. Geotechnical and Geological Engineering 34 (6): 1791–805. doi: https://doi.org/10.1007/s10706-016-9989-6.
- Lee, J. K., S. Jeong, and J. Ko. 2014. Undrained stability of surface strip footings above voids. Computers and Geotechnics 62: 128–35. doi: https://doi.org/10.1016/j.compgeo.2014.07.009.
- Lee, J. K., S. Jeong, and J. Ko. 2015. Effect of load inclination on the undrained bearing capacity of surface spread footings above voids. Computers and Geotechnics 66: 245–52. doi: https://doi.org/10.1016/j.compgeo.2015.02.003.
- Lee, J. K., and J. Kim. 2019. Stability charts for sustainable infrastructure: Collapse loads of footings on sandy soil with voids. Sustainability 11 (14): 3966. doi: https://doi.org/10.3390/su11143966.
- Lyamin, A. V., K. Krabbenhøft, and A. J. Abbo. General approach to modelling discontinuities in limit analysis. Proc. 11th Int. Conf. Int. Assoc. Computer Methods and Advances in Geomechanics (IACMAG 2005), Torino. 2005, 1: 95–102.
- Munoz, J. J., J. Bonet, A. Huerta, and J. Peraire. 2009. Upper and lower bounds in limit analysis: Adaptive meshing strategies and discontinuous loading. International Journal for Numerical Methods in Engineering 77 (4): 471–501. doi: https://doi.org/10.1002/nme.2421.
- Shiau, J. S., A. V. Lyamin, and S. W. Sloan Application of pseudo-static limit analysis in geotechnical earthquake design. Proc., 6th European Conf. on Numerical Methods in Geotechnical Engineering. Taylor & Francis, London, 2006: 249–55.
- Sloan, S. W. 2013. Geotechnical stability analysis. Géotechnique 63 (7): 531–71. doi: https://doi.org/10.1680/geot.12.RL.001.
- Wang, M. C., and A. Badie. 1985. Effect of underground void on foundation stability. Journal of Geotechnical Engineering 111 (8): 1008–19. doi: https://doi.org/10.1061/(ASCE)0733-9410(1985)111:8(1008).
- Wang, M. C., and C. W. Hsieh. 1987. Collapse load of strip footing above circular void. Journal of Geotechnical Engineering 113 (5): 511–15. doi: https://doi.org/10.1061/(ASCE)0733-9410(1987)113:5(511).
- Wang et al., Jun Cavity effect on collapse load of strip footings. Proceedings of the international conference on soil mechanics and geotechnical engineering. AA Balkema Publishers, 2001, 1: 317–20
- Xiao, Y., M. Zhao, R. Zhang, and G. Wu. 2019. Undrained bearing capacity of strip footings placed adjacent to two-Layered slopes. International Journal of Geomechanics 19 (8): 06019014. doi: https://doi.org/10.1061/(ASCE)GM.1943-5622.0001480.
- Xiao, Y., M. Zhao, and H. Zhao. 2018b. Undrained stability of strip footing above voids in two-layered clays by finite element limit analysis. Computers and Geotechnics 97: 124–33. doi: https://doi.org/10.1016/j.compgeo.2018.01.005.
- Xiao, Y., M. Zhao, H. Zhao, and R. Zhang. 2018a. Finite element limit analysis of the bearing capacity of strip footing on a rock mass with voids. International Journal of Geomechanics 18 (9): 04018108. doi: https://doi.org/10.1061/(ASCE)GM.1943-5622.0001262.
- Zhang, R., G. Chen, J. Zou, L. Zhao, and C. Jiang. 2019. Study on roof collapse of deep circular cavities in jointed rock masses using adaptive finite element limit analysis. Computers and Geotechnics 111: 42–55. doi: https://doi.org/10.1016/j.compgeo.2019.03.003.
- Zhang, R., L. Li, L. Zhao,and G. Tang. 2018. An adaptive remeshing procedure for discontinuous finite element limit analysis. International Journal for Numerical Methods in Engineering 116 (5): 287–307.
- Zhou, H., G. Zheng, X. He, X. Xu, T. Zhang, and X. Yang. 2018. Bearing capacity of strip footings on c–φ soils with square voids. Acta Geotechnica 13 (3): 747–55. doi: https://doi.org/10.1007/s11440-018-0630-0.