ABSTRACT
With the consideration of an associated flow rule few researchers have obtained the seismic bearing capacity of shallow foundation (Sarma & Iossifellis, 1990; Budhu &Al-Karni, 1993; Richards et al., 1993; Kumar & Rao, 2003; Choudhury & Subba Rao, 2006; Kumar & Chakraborty, 2013). With the consideration of a non-associated flow rule in the energy dissipation method the solutions have been provided byYang et al. (2007) for seismic bearing capacity of foundation on slope. However, there is no research work available in literature which provides the lower bound solutions on the seismic bearing capacity of foundation with the consideration of a non-associated flow rule. It should be mentioned here that the lower bound theorem of the limit analysis is based on the consideration that the material follows an associated flow rule. The dilation angle considered in case of an associated flow rule is usually greater than that experienced by frictional soils (Drescher & Detournay, 1993). The purpose of this paper is to find out the influence of dilation angle (ψ) on the lower bound solutions for the seismic bearing capacity of a strip footing in a general cohesive-frictional (c-φ) soil mass.The results are presented in terms of design charts with (i) the dilative coefficient η =ψ/φ = 0.0, 0.5 and 1.0, (ii) soil friction angle (φ) between 10o and 4o, and (ii) seismic acceleration coefficient (kh) between 0. and 0.4.
