A reformulated hardening soil model

Author:

Bower Thomas A.1ORCID,Jefferson Anthony D.2ORCID,Cleall Peter J.3ORCID

Affiliation:

1. Software Engineer, LUSAS, Forge House, Kingston Upon Thames, UK (corresponding author: )

2. Professor, School of Engineering, Cardiff University, Queen's Buildings, The Parade, Cardiff, UK

3. Reader, School of Engineering, Cardiff University, Queen's Buildings, The Parade, Cardiff, UK

Abstract

The hardening soil (HS) model is an advanced soil plasticity model, which incorporates many features including stiffness stress dependency, hardening from initial loading and soil dilatancy. In this paper, the HS model is explored in depth and two improvements are proposed. The first is a new shear yield surface and hardening rule that have been reformulated to remove singularities. The second is a robust implicit return mapping scheme. Options for improving the global convergence of finite-element analyses are also explored. Single-elements tests replicate results from experimental triaxial data and previous versions of the HS model very closely, and at excellent convergence rates. In addition, a slope stability analysis is performed using the φ − c strength reduction method in two-dimensional plane strain. The results from the slope analysis showed good agreement with analytical and graphical slope stability methods. A three-dimensional (3D) slope stability analysis was also conducted with modified boundary conditions, in order to demonstrate the 3D capabilities of the model.

Publisher

Thomas Telford Ltd.

Subject

Mechanics of Materials,Civil and Structural Engineering

Reference24 articles.

1. Benz T (2007) Small-strain Stiffness of Soils and its Numerical Consequences. PhD thesis, Universität Stuttgart, Institut für Geotechnik, Stuttgart, Germany.

2. Bower TA (2017) Constitutive Modelling of Soils and Fibre-Reinforced Soils. PhD thesis, Cardiff University, Cardiff, UK.

3. Numerical implementation of hardening soil model

4. Extended limit design theorems for continuous media

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