Front tracking thermomechanical model for hypoelastic-viscoplastic behavior in a solidifying body

Zabaras, Nicholas; Ruan, Yimin; Richmond, O.

doi:10.1016/0045-7825(90)90060-y

Cited by 27 publications

(10 citation statements)

References 24 publications

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“…(19) will result in σ = −ρghI. Note that this approach allows the initial stress of a solid particle at nucleation time to be the hydrostatic pressure of the liquid particle just before it solidifies [7].…”

Section: Mold Solid Shellmentioning

confidence: 99%

“…As pointed out in [7], the thermal stress in early stages of solidification can reach very high values; thus plastic deformation must be taken into account to correctly model the mechanical behavior of the solid-shell at the early stages of solidification. However, to allow comparison with the analytical results given in [1], no plastic deformation is considered in this example (f = 0).…”

Section: Numerical Investigationsmentioning

confidence: 99%

“…The analysis of the deformation of a solidifying body is significantly different from that of a standard fixed body [6][7][8]. These efforts emphasize the need to incorporate both the initial stresses at the instant of solidification as well as the fact that the growing nature of a solidifying body leads to an incompatibility of the strain tensor.…”

Section: Introductionmentioning

confidence: 99%

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A thermomechanical study of the effects of mold topography on the solidification of Aluminum alloys

Tan

Zabaras

2005

Materials Science and Engineering: A

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A thermomechanical study of the effects of mold topography on the solidification of aluminum alloys at early times is provided. The various coupling mechanisms between the solid-shell and mold deformation and heat transfer at the mold/solid-shell interface during the early stages of aluminum solidification on molds with uneven topographies are investigated. The air-gap nucleation time, the stress evolution and the solid-shell growth pattern are examined for different mold topographies to illustrate the potential control of aluminum cast surface morphologies during the early stages of solidification using proper design of mold topographies. The unstable shell growth pattern in the early solidification stages results mainly from the unevenness of the heat flux between the solid-shell and the mold surface. This heat flux is determined by the size of the air-gaps formed between the solidifying shell and mold surface or from the value of the contact pressure. Simulation results show that a sinusoidal mold surface with a smaller wavelength leads to nucleation of air-gaps at earlier times. In addition, the unevenness in the solid-shell growth pattern decreases faster for a smaller wavelength. Such studies can be used to tune mold surfaces for the control of cast surface morphologies.

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Section: Mold Solid Shellmentioning

confidence: 99%

Section: Numerical Investigationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A thermomechanical study of the effects of mold topography on the solidification of Aluminum alloys

Tan

Zabaras

2005

Materials Science and Engineering: A

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“…4) A value of Poisson's ratio very close to 0.5 is assigned at the nodes where temperature is above the coherence (or zero-strain) temperature. This makes the liquid phase close to being incompressible for mechanical loading.…”

Section: Special Procedures For Liquid Regionsmentioning

confidence: 99%

“…They used a viscoplastic constitutive relation to predict the evolution of plastification. Zabaras et al 4) used a front tracking finite element method to calculate temperature and stress field in a solidifying pure metal. They employed a rate dependent viscoplastic-hypoelastic constitutive model to solve the equilibrium equations.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling of Thermally Induced Stresses in Two-roll Melt Drag Thin Strip Casting of Steel.

Gupta

Sahai

2000

ISIJ International

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In thin strip casting of steel, a major problem is the formation of cracks due to thermally induced stresses in the solidifying material. To compute these stresses and the susceptibility of the material to crack due to these stresses, a two-dimensional finite element based thermo-mechanical model has been developed. The temperature field obtained by the fluid flow and heat transfer model is imposed as a thermal load to the system. A visco-plastic constitutive relation has been used to describe the behavior of solidifying steel. A temperature dependent ultimate strength is used to define the cracking index, which indicates the susceptibility of the material to crack. Stress calculations are performed using a commercial software ANSYS.

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Thermomechanics of the cooling stage in casting processes: Three-dimensional finite element analysis and experimental validation

Bellet

Decultieux

Menai

et al. 1996

Metall Mater Trans B

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International audienceA thermomechanical three-dimensional (3-D) finite element analysis of solidification is presented. The heat transfer model is based on a multidomain analysis accounting for noncoincident meshes for the cast part and the different mold components. In each subdomain, a preconditioned conjugate gradient solver is used. The mechanical analysis assumes the mold is rigid. A thermoelastic-viscoplastic rheological model is used to compute the constrained shrinkage of the part, resulting in an effective local air gap width computation. At each time increment, a weak coupling of the heat transfer and mechanical analyses is performed. Comparisons of experimental measurements and model predictions are given in the case of a hollow cylindrical aluminum alloy part, showing a good quantitative agreement. An application to an industrial aluminum casting is presented, illustrating the practical interest of thermomechanical computations in solidification analysis

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Front tracking thermomechanical model for hypoelastic-viscoplastic behavior in a solidifying body

Cited by 27 publications

References 24 publications

A thermomechanical study of the effects of mold topography on the solidification of Aluminum alloys

A thermomechanical study of the effects of mold topography on the solidification of Aluminum alloys

Mathematical Modeling of Thermally Induced Stresses in Two-roll Melt Drag Thin Strip Casting of Steel.

Thermomechanics of the cooling stage in casting processes: Three-dimensional finite element analysis and experimental validation

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