Implementation and evaluation of a binary mixture model and three-dimensional FE-analysis of water saturated soil
Author
Editor
- P. Wesseling
Summary, in English
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.
Department/s
Publishing year
2006
Language
English
Publication/Series
ECCOMAS CFD 2006: Proceedings of the European Conference on Computational Fluid Dynamics
Document type
Conference paper
Publisher
Delft University of Technology
Topic
- Applied Mechanics
Keywords
- binary mixture model
- water saturated
- FEM
- numerical simulation
- soil
Conference name
European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2006.
Conference date
2006-09-03
Conference place
Netherlands
Status
Published
Research group
- Mechanics
ISBN/ISSN/Other
- ISBN: 90-9020970-0