Bearing capacity factors of circular foundations for a general c–ϕ soil using lower bound finite elements limit analysis

Abstract

SUMMARYBy using the lower bound limit analysis in conjunction with finite elements and linear programming, the bearing capacity factors due to cohesion, surcharge and unit weight, respectively, have been computed for a circular footing with different values of . The recent axisymmetric formulation proposed by the authors under = 0 condition, which is based on the concept that the magnitude of the hoop stress ( ) remains closer to the least compressive normal stress ( 3 ), is extended for a general c-soil. The computational results are found to compare quite well with the available numerical results from literature. It is expected that the study will be useful for solving various axisymmetric geotechnical stability problems.

The bearing capacity of footings on sand with a weak layer

“…The finite-element code Plaxis 2D (Plaxis, 2008) was used. For soils, the simple elastic-perfectly plastic Mohr-Coulomb constitutive model with non-associated flow rule has been adopted, similar to many researchers (Bolton and Lau, 1993;Hjiaj et al, 2005;Kumar and Khatri, 2011;Loukidis and Salgado, 2009;Potts, 2003;Yin et al, 2001). Geometric variations of the system were disregarded.…”

Soluciones de forma cerrada para la capacidad de carga de zapatas en suelos anisotrópicos cohesivos

“…With the advent of powerful computers and the development of modern computational methods the ability to analyze problems has, for the first time, outstripped our ability to describe the material (Drucker, 1991 (Chen and Davidson, 1973;Florkiewicz, 1989;Michalowski, 1997;Ukritchon et al, 1998, Kumar andKouzer, 2007;Kumar and Kouzer, 2008a;Kumar and Khatri, 2011) lateral earth pressure problems (Chen and Rosenfarb, 1973), stability of slopes (Chen and Giger, 1971;Izbicki, 1981), and vertical cuts (Drescher, 1983;Su et al, 1998;Kumar and Kouzer, 2008b). The theory provides upper and lower bounds that serve to bracket the limit load for rigid-perfectly plastic materials, and computations of the two bounds is generally referred to as limit analysis (Chen, 1975).…”

Monotonic loading of circular surface footings on clay

“…The bearing capacity of foundations has always been of keen interest in the design of offshore foundations. Tani and Craig [4], Taiebat and Carter [5], and Kumar and Khatri [6] have provided lists summarizing representative contributions to this field. Recently, White et al [7] developed a model for the bearing capacity of circular foundations on sand.…”

“…Using the results of centrifuge tests, they developed formulas for the bearing capacity factors. Kumar and Khatri [6] performed a lower bound analysis in conjunction with finite element analysis and linear programming, to obtain the bearing capacity factors due to cohesion, surcharge, and unit weight.…”