Current developments on the coupled thermomechanical computational modeling of metal casting processes
Carlos Agelet De Saracibar
1,2, Michele Chiumenti1,2, Miguel Cervera1,2
1International Center for Numerical Methods in Engineering (CIMNE), Barcelona, Spain.
2ETS Ingenieros de Caminos, Canales y Puertos, Universidad Politécnica de Cataluna, Barcelona, Spain.
DOI:
https://doi.org/10.7494/cmms.2006.1.0106
Abstract:
In this paper, current developments on the coupled thermomechanical computational simulation of metal casting processes are presented A thermodynamically consistent constitutive material model is derived from a thermoviscoplastic free energy function. A continuous transition between the initial fluid-like and the final solid-like is modeled by considering a J2 thermoviscoplastic model. Thus, an thermoelastoviscoplastic model, suitable for the solid-like phase, degenerates into a pure thermoviscous model, suitable for the liquid-like phase, according to the evolution of the solid fraction function. A thermomechanical contact model, taking into account the insulated effects of the air-gap due to thermal shrinkage of the part during solidification and cooling, is introduced. A fractional step method, arising from an operator split of the governing differential equations, is considered to solve the coupled problem using a staggered scheme. Within a finite element setting, using low-order interpolation elements, a multiscale stabilization technique is introduced as a convenient framework to overcome the Babuska-Brezzi condition and avoid volumetric locking and pressure instabilities arising in incompressible or quasi-incompressible problems. Computational simulation of industrial castings show the good performance of the model.
Cite as:
Agelet De Saracibar, C., Chiumenti, M., Cervera, M. (2006). Current developments on the coupled thermomechanical computational modeling of metal casting processes. Computer Methods in Materials Science, 6(1), 15 – 25. https://doi.org/10.7494/cmms.2006.1.0106
Article (PDF):
Keywords:
Coupled, Thermomechanical, Casting, Multiphysics, Finite elements
References:
Agelet de Saracibar, C., Cervera, M., Chiumenti, M., 1999, On the formulation of coupled thermoplastic problems with phase-change, Int. J. Plasticity, 15, 1-34.
Agelet de Saracibar, C., Cervera, M., Chiumenti, M., 2001, On the constitutive modeling of coupled thermomechanical phase change problems, Int. J. Plasticity, 17, 1565-1622.
Agelet de Saracibar, C., 2003, Simulación Numérica de Problemas Termomecánicos, Monograph M75, CIMNE, Barcelona
Agelet de Saracibar, C., Chiumenti, M., Cervera, M., Valverde, Q., 2004, On the Orthogonal Subgrid Scale Pressure Stabilization of Small and Finite Deformation J2 Plasticity, Monograph CMFP 2, CIMNE, Barcelona.
Agelet de Saracibar, C., Chiumenti, M., Valverde, Q., Cervera, M., 2006, On the Orthogonal Subgrid Scale Pressure Stabilization of Finite Deformation J2 Plasticity”, Computer Methods in Applied Mechanics and Engineering, 195, 1224-1251.
Brezzi, F., Fortin, M., 1991, Mixed and Hybrid Finite Element Methods, Spinger, New York.
Cervera, M., Agelet de Saracibar, C., Chiumenti, M., 1999, Thermo-mechanical analysis of industrial solidification processes, Int. J. Num. Meths. Engng., 46, 1575-1591.
Cervera, M., Chiumenti, M., Valverde, Q., Agelet de Saracibar, C., 2003, Mixed Linear/linear Simplicial Elements for Incompressible Elasticity and Plasticity, Computer Methods in Applied Mechanics and Engineering, 192, 5249-5263.
Chiumenti, M., Agelet de Saracibar, C., Cervera, M., 1999, Constitutive modelling and numerical analysis of thermomechanical phase-change systems, Monograph M48, CIMNE, Barcelona.
Chiumenti, M., Valverde, Q., Agelet de Saracibar, C., Cervera, M., 2002, A stabilized formulation for elasticity using linear displacement and pressure interpolations, Computer Methods in Applied Mechanics and Engineering, 191, 5253-5264.
Chiumenti, M., Valverde, Q., Agelet de Saracibar, C., Cervera, M., 2004, A stabilized formulation for incompressible plasticity using linear triangles and tetrahedral”, Int. Journal of Plasticity, 20, 1487-1504.
Christ, D., Cervera, M., Chiumenti, M., Agelet de Saracibar, C., 2003, A Mixed Finite Element Formulation for Incompressibility using Linear Displacement and Pressure Interpolations, Monograph M77, CIMNE, Barcelona.
Codina, R., 2000, Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods, Computer Methods in Applied Mechanics and Engineering, 190, 1579-1599.
Codina, R., 2002, Stabilized finite element approximation of transient incompressible flows using orthogonal subscales”, Computer Methods in Applied Mechanics and Engineering, 191, 4295-4321.
Hallam, C.P., Griffiths, W.D., Butler, N.D., 2000, Modelling of the interfacial heat transfer between an Al-Si alloy casting and a coated die stel, Proc. IX Int. Conf. on Modelling of Casting, Welding and Advanced Solidification processes, U.S.A., 2000.
Ransing, R.S., Lewis, R.W., 1998, Thermo-Elasto-Visco-Plastic Analysis for Determining Air Gap and Interfacial Heat Transfer Coupled with the Lewis-Ransing Correlation for Optimal Feeding Design”, Proceedings of VIII International Conference on Modelling of Casting, Welding and Advanced Solidification processes, San Diego.
Valverde, Q., Agelet de Saracibar, C., Cervera, M., Chiumenti, M., 2002, Elementos Estabilizados de Bajo Orden en Mecánica de Sólidos, Monograph M69, CIMNE, Barcelona.
VULCAN, Software for simulation of casting processes, QUANTECH ATZ, www.quantech.es/vulcan