## Abstract

A binary mixture model for soils has been formulated and analyzed.

In the model one of the constituents is soil and the other

constituent an incompressible liquid. The effects of water are

included by formulating a mixture model is formulated as an

extension of an existing non-associated elasto-plastic material

model for granular materials. This paper is focused on the balance

of momentum equations of the mixture model, primarily to avoid the

difficulties arising when the interaction terms between the

constituents needs to be formulated and constituted. Considering

the momentum balance of the mixture as an extension of the balance

equation of the soil constituent, it is supplemented with body

forces, stresses and flow effects from the water constituent. These

supplemented terms are evaluated and analyzed. An alternative way

of deriving equation of motion for the fluid is also presented. The

computer algorithm for integrating the constitutive relation of dry

sand is supplemented and numerical simulations with a finite

element code are carried out. It is shown that although the mixture

model consists of two constituents, it is possible to include the

existence of voids and a system with three constituents, i.e. water

unsaturated soil, can be analyzed. Results from single element

tests and simulations of a flexible footing resting on a surface of

water saturated sand are presented.

In the model one of the constituents is soil and the other

constituent an incompressible liquid. The effects of water are

included by formulating a mixture model is formulated as an

extension of an existing non-associated elasto-plastic material

model for granular materials. This paper is focused on the balance

of momentum equations of the mixture model, primarily to avoid the

difficulties arising when the interaction terms between the

constituents needs to be formulated and constituted. Considering

the momentum balance of the mixture as an extension of the balance

equation of the soil constituent, it is supplemented with body

forces, stresses and flow effects from the water constituent. These

supplemented terms are evaluated and analyzed. An alternative way

of deriving equation of motion for the fluid is also presented. The

computer algorithm for integrating the constitutive relation of dry

sand is supplemented and numerical simulations with a finite

element code are carried out. It is shown that although the mixture

model consists of two constituents, it is possible to include the

existence of voids and a system with three constituents, i.e. water

unsaturated soil, can be analyzed. Results from single element

tests and simulations of a flexible footing resting on a surface of

water saturated sand are presented.

Original language | English |
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Title of host publication | ECCOMAS CFD 2006: Proceedings of the European Conference on Computational Fluid Dynamics |

Editors | P. Wesseling |

Publisher | Delft University of Technology |

ISBN (Print) | 90-9020970-0 |

Publication status | Published - 2006 |

Event | European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2006. - TU Delft, The Netherlands, Netherlands Duration: 2006 Sept 3 → … |

### Conference

Conference | European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2006. |
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Country/Territory | Netherlands |

Period | 2006/09/03 → … |

## Subject classification (UKÄ)

- Applied Mechanics

## Free keywords

- binary mixture model
- water saturated
- FEM
- numerical simulation
- soil