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Hot tearing, a severe defect occurring during solidification, is the conjunction of tensile stresses which are transmitted to the mushy zone by the coherent solid underneath and of an insufficient liquid feeding to compensate for the volumetric change. In most recent hot tearing criteria, one of the critical issues is the definition of a coherency point which, in low-concentration alloys, corresponds to the bridging or coalescence of the primary phase. A coalescence model has been developed recently using the concept of the disruptive pressure in thin liquid films.[1] It has been shown that large-misorientation grain boundaries, which are characterized by an interfacial energy, γgb, larger than twice the solid-liquid interfacial energy, γsl, solidify at an undercooling ΔTb = (γgb - 2γsl)/(Δsfδ), where Δsf is the entropy of fusion and δ the thickness of the diffuse interface. When γgb < 2γsl (e.g., low-angle grain boundaries), dendrite arms coalesce as soon as they impinge on each other. Using such concepts and a back-diffusion model, the percolation of equiaxed, randomly oriented grains has been studied in 2D : it is shown that the grain structure gradually evolves from isolated grains separated by a continuous interdendritic liquid film, to a fully coherent solid with a few remaining wet boundaries. The implication of such findings for the hot cracking tendency of aluminum alloys are discussed.
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