Cyclic macro‐element for soil–structure interaction: material and geometrical non‐linearities

This paper presents a non-linear soil–structure interaction (SSI) macro-element for shallow foundation on cohesive soil. The element describes the behaviour in the near field of the foundation under cyclic loading, reproducing the material non-linearities of the soil under the foundation (yielding) as well as the geometrical non-linearities (uplift) at the soil–structure interface. The overall behaviour in the soil and at the interface is reduced to its action on the foundation. The macro-element consists of a non-linear joint element, expressed in generalised variables, i.e. in forces applied to the foundation and in the corresponding displacements. Failure is described by the interaction diagram of the ultimate bearing capacity of the foundation under combined loads. Mechanisms of yielding and uplift are modelled through a global, coupled plasticity–uplift model. The cyclic model is dedicated to modelling the dynamic response of structures subjected to seismic action. Thus, it is especially suited to combined loading developed during this kind of motion. Comparisons of cyclic results obtained from the macro-element and from a FE modelization are shown in order to demonstrate the relevance of the proposed model and its predictive ability. Copyright © 2001 John Wiley & Sons, Ltd.

[1]  Finian Seng Chin Tan.  Centrifuge and theoretical modelling of conical footings on sand , 1990 .

[2]  Guido Gottardi,et al.  A complete three-dimensional failure envelope for shallow footings on sand , 1994 .

[3]  Roberto Paolucci,et al.  SEISMIC BEARING CAPACITY OF SHALLOW STRIP FOUNDATIONS ON DRY SOILS , 1997 .

[4]  Guido Gottardi,et al.  Plastic response of circular footings on sand under general planar loading , 1999 .

[5]  A. Pecker,et al.  Ultimate bearing capacity of shallow foundations under inclined and eccentric loads. I: Purely cohesive soil , 1995 .

[6]  A. Pecker,et al.  Ultimate bearing capacity of shallow foundations under inclined and eccentric loads. II: Purely cohesive soil without tensile strength , 1995 .

[7]  Chris Martin.  Physical and numerical modelling of offshore foundations under combined loads , 1994 .

[8]  R. Nova,et al.  Settlements of shallow foundations on sand , 1991 .

[9]  Alexander M. Puzrin,et al.  The bearing capacity of a strip footing on clay under combined loading , 1999, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[10]  Alain Pecker,et al.  Elaboration d'un macro-élément d'interaction sol-structure avec prise en compte du décollement de la fondation , 1999 .

[11]  EH Davis,et al.  The Effect of Increasing Strength with Depth on the Bearing Capacity of Clays , 1973 .

[12]  Ioannis N. Psycharis,et al.  Rocking of slender rigid bodies allowed to uplift , 1983 .

[13]  Andrew J. Whittle,et al.  Undrained Limit Analyses for Combined Loading of Strip Footings on Clay , 1998 .

[14]  H. Poulos,et al.  Elastic solutions for soil and rock mechanics , 1973 .