Solidification modelling with a control volume method on domains subjected to viscoplastic deformation. (English) Zbl 1013.80010
Summary: The rise in importance of semi-solid based products has created a need for accurate modelling approaches to coupled solidification and deformation. Current approaches to solidification modelling, using the finite element method, are principally founded on capacitance methods. Unfortunately they suffer from a major drawback in that energy is not correctly transported through elements, so providing a source of inaccuracy. This paper is concerned with the development and application of a control volume capacitance method to problems where viscoplastic deformation and solidification are combined. The approach adopted is founded on the theory that describes energy transfer through a control volume (CV) moving relative to the deforming mass. This essentially arbitrary Lagrangian-Eulerian method facilitates the accurate treatment of discontinuities. The CV approach is tested against known analytical solutions and is shown to be accurate, stable and computationally competitive.
MSC:
| 80M25 | Other numerical methods (thermodynamics) (MSC2010) |
| 80A22 | Stefan problems, phase changes, etc. |
| 74C99 | Plastic materials, materials of stress-rate and internal-variable type |
Keywords:
control volume; deformation; solidification; arbitrary Lagrangian-Eulerian; finite element metod; ALE-methodReferences:
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