Implementation algorithm of a generalised plasticity model for swelling clays

A multi-mechanism generalisation of Sloan’s integration scheme for elasto-plastic laws has been developed in order to implement a double structure model for expansive clays into a FE code. The constitutive model is built on a conceptual approach for unsaturated expansive soils in which the fundamental characteristic is the explicit consideration of the two pore levels often present in expansive clays. The distinction between macro and microstructure provides the opportunity to take into account the dominant phenomena that affect the behaviour of each structural level and the main interactions between them. The model is formulated using concepts of classical and generalised plasticity theories. The integration scheme proposed can deal with the two plastic mechanisms defined in the model and can incorporate the effects of strains, suction and temperature in the stress integration process. A large scale heating test is analysed to check the capabilities of the implemented model to simulate an actual problem involving complex thermo-hydro-mechanical stress paths. The performance of the model has been very satisfactory and the proposed integration scheme has proved to be robust and efficient in solving a highly non-linear coupled problem.

[1]  S. Sloan,et al.  Refined explicit integration of elastoplastic models with automatic error control , 2001 .

[2]  Antonio Gens,et al.  A constitutive model for partially saturated soils , 1990 .

[3]  Lidija Zdravković,et al.  Finite element analysis in geotechnical engineering , 1999 .

[4]  J. M. Barcala,et al.  Large scale buffer material test: Mock-up experiment at CIEMAT , 2005 .

[5]  Daichao Sheng Non-convexity of the Barcelona Basic Model } Comment on S. J. Wheeler, D. Gallipoli and M. Karstunen (2002;26:1561-1571) , 2003 .

[6]  O. C. Zienkiewicz,et al.  Generalized plasticity and the modelling of soil behaviour , 1990 .

[7]  Giulio Maier,et al.  On failure indicators in multidissipative materials , 1996 .

[8]  Antonio Gens,et al.  A double structure generalized plasticity model for expansive materials , 2005 .

[9]  Antonio Gens,et al.  Finite element formulation and algorithms for unsaturated soils. Part I: Theory , 2003 .

[10]  H.A.M. van Eekelen,et al.  Isotropic yield surfaces in three dimensions for use in soil mechanics , 1980 .

[11]  Antonio Gens,et al.  Mechanical behaviour of heavily compacted bentonite under high suction changes , 2003 .

[12]  Antonio Gens,et al.  Modelling the mechanical behaviour of expansive clays , 1999 .

[13]  Kaspar Willam,et al.  Recent developments in the finite element analysis of prestressed concrete reactor vessels , 1974 .

[14]  Antonio Gens,et al.  A framework for the behaviour of unsaturated expansive clays , 1992 .

[15]  J. Carrera,et al.  Numerical formulation for a simulator (CODE_BRIGHT) for the coupled analysis of saline media , 1996 .

[16]  Scott W. Sloan,et al.  Substepping schemes for the numerical integration of elastoplastic stress–strain relations , 1987 .

[17]  Scott W. Sloan,et al.  Aspects of finite element implementation of critical state models , 2000 .

[18]  Antonio Gens,et al.  Modern issues in non-saturated soils , 1995 .

[19]  David M. Potts,et al.  A critical assessment of methods of correcting for drift from the yield surface in elasto‐plastic finite element analysis , 1985 .