Abstract
An analytical 2-dimensional model taking account of the anisotropy of crystal growth is proposed to describe dendrite growth during directional solidification. Within a unit cell, a shape function of the dendrite is defined. This depends on the solidification condition, the local fraction solid and crystallographic orientation. As a result, the advance of the liquid-solid interface and the concentration distribution in a cross-section of a dendrite can be predicted two-dimensionally. The paper introduces a method of applying the proposed model, initially developed for binary alloys, to multicomponent systems. Calculation was completed for a directionally solidified Ni-base superalloy CMSX-4, allowing prediction of microstructural evolution and microsegregation behaviour. The calculation results are compared with experimental measurements.
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