Smoothed Particle Hydrodynamics for the Simulation of Broken-Ice Fields: Mohr–Coulomb-Type Rheology and Frictional Boundary Conditions
✍ Scribed by Ricardo Gutfraind; Stuart B. Savage
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 468 KB
- Volume
- 134
- Category
- Article
- ISSN
- 0021-9991
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✦ Synopsis
successfully applied to the study of the deformation of a metal cylinder resulting from the normal impact against a A rheology based on the Mohr-Coulomb yield criterion is implemented in the framework of smoothed particle hydrodynamics flat, rigid surface [4,5], to the modelling of fractures in (SPH). We apply this approach to the simulation of broken-ice fields brittle solids [6], and to the simulation of viscous flows [7]. floating on the water surface and moving under the effect of wind In this work, we look at the implementation of SPH to forces. When broken-ice fields are regarded as a continuum, their treat a viscous-plastic rheology, used for the simulation of rheological behavior can be described by a model known as viscousbroken-ice fields driven by the wind and water currents.
plastic. In this approach the ice field is modeled as a viscous fluid for very small strain rates and is assumed to flow plastically other-Ice fields on rivers and oceans are often made up of wise. It is in the plastic regime that the stress states are described discrete blocks (usually called floes), whose sizes in the in terms of the Mohr-Coulomb yield criterion. Besides broken-ice horizontal direction can range from a few meters in the fields, numerous other problems in the field of quasi-static granular summer to several kilometers in the winter. The movement flows can be characterized by this type of rheological behavior. We of the floes is driven by the wind and water currents. The first show how the momentum equations for a Mohr-Coulombtype rheology are implemented in the framework of SPH. For most floes dissipate energy through collisions and rubbing fricgranular flow systems, the moving interior particles are bounded tional contacts with other floes, as well as through frictional by fixed frictional walls and one must also model these boundary drag due to the water on their bottom surface. Many works conditions. A Coulomb-friction condition is applied within the have dealt with the modeling of the rheological behavior framework of SPH. This type of boundary is implemented by means of the ice field when it is regarded as a continuum. These of a wall that exerts a normal potential force of repulsion on the SPH particles, combined with a tangential force proportional to the include, models based on plasticity theory [8], elasticnormal force. The approach can be applied to model flows adjacent plastic models [9], and the viscous-plastic model proposed to straight walls as well to more complicated boundaries. ᮊ 1997 by Hibler [10,11]. Hilber's viscous-plastic approach is Academic Press probably the most widely used in the field. In this approach, the ice is modeled as a viscous fluid for small strain rates, whereas for large strain rates the ice is assumed to flow in use of the particle-in-cell (PIC) method. Due to its fully 203