“…Note that negative skin friction develops at the column shaft, increasing the stress and compression on the column and reducing the stress and compression in the surrounding soil. The deformation shape of the latter is hard to determine and is influenced by certain factors, such as soil structure interactions (Zhou and Yin, 2008;Yin and Zhou, 2009;Su et al, 2010;Zhou et al, 2011;Hokmabadi et al, 2014;Suleiman et al, 2016;Meguid et al, 2017;Yu and Bathurst, 2017;Zhu et al, 2017;Jing et al, 2018;Wang et al, 2018b) and constitutive models adopted for subsoil (Yin et al, , 2010a(Yin et al, , 2010b(Yin et al, , 2011a(Yin et al, , 2011bSexton et al, 2016;Yin et al, 2017). Alamgir et al (1996) innovatively proposed a deformed shape function to investigate the performance of a column-reinforced foundation, which is applied here for this purpose.…”