Thermal Stresses During Solidification on Basis of Elastic Model

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Abstract
Distributions of stress and displacement in a slab during a solidification process are obtained analytically using the model of an elastic horizontal beam with temperature-dependent Young’s modulus. Both simply supported and built-in ends are considered as the boundary condition for the beam. In addition to the physical properties such as coefficient of linear thermal expansion, density, expression of Young’s modulus, etc., the main parameters determining the stress and displacement involve the mode of cooling at the surface and the external force acting on the liquid-solid interface such as the hydrostatic head from liquid side. Some specific results are presented to illustrate the effect of cooling rate and the dimensions of the beam on development of thermal stress and transverse displacement during solidification of iron.

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