Abstract
Abstract This paper presents a model of solidification for a fibre-reinforced circular cylindrical channel section in plane strain. The material is treated as a thermoelastic orthotropic solid in the solid phase and as an anisotropic viscous fluid in the fluid phase. Cooling from a curved surface causes a solidification front to move radially through the thickness until solidification is complete. Deformation which occurs in the liquid phase becomes ‘locked in’ at solidification, thus affecting the shape and residual stress in the final solid section; these affects are quantified. It is found that part of this residual deformation is proportional to the cooling rate, and the effects of cooling from the inside and from the outside are compared. For a very thin sector the residual deformation is independent of the rate and direction of cooling, but for a sector with small internal surface radius both the rate and the direction of cooling have a pronounced effect.
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