Abstract
In the paper, we present results of stress analysis in domains which are a mixture of solid and liquid phases. Such mixtures occur in solidifying castings and are a result of forming a structure with solid skeleton and filling of a liquid phase. In this structure, stress occurs due to the appearance of temperature gradients, different values of material properties for the solid and liquid phase, and the appearance of friction forces between the solidified part of the casting and the mold on a macroscopic scale. This can lead to casting defects, such as hot cracking. The results are obtained with the use of a authors computer program based on the Finite Element Method. The stress analysis takes into account the elastic-plastic state of considered computational area. The presented results are focused on the microscopic scale, for which a finite element mesh is created which imitates the growing grains of the metal alloy in the casting, on the basis of macroscopic parameters.
Highlights
The matter of stress analysis in an elastic-plastic state was favorite a scientific problem for many past years
Determination of the stresses distribution during the solidification process helps to assess the quality of casting products and optimize the production circumstances
Undesirable stresses and deformations that occur in the solidification process are due to the high gradient of temperatures inherent in this process and the succeeding cooling [1]
Summary
The matter of stress analysis in an elastic-plastic state was favorite a scientific problem for many past years. Investigation of solidification problems is essential because of a variety of industrial applications and material processing technologies such as casting, welding, the growth of single crystals, purification of metals, and numerous other applications. The mushy zone (the state between liquid and solid state) plays an essential role in determining the properties of a final product in the solidification of alloys [2]. The stress analysis in solid-liquid parts of solidifying castings is presented. Stress analysis in a solid-liquid state is the preliminary studies related to a determination of the hot tearing criterion during the solidification process. To predict hot tearing must be taken into account many issues, including constitutive equations of alloys in the high-temperature range containing partially solidified state. The using variety of numerical algorithms, there are still analyzed almost every issue, i.e., technical or engineering problems
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