By Thomas Böllinghaus; et al
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Extra info for Hot cracking phenomena in welds II
However, only steady state can be treated with the thermal criterion. The inclusion of a constitutive model for the mushy alloy and the investigation of transients are presented in the next section. Fig. 8. Steady state temperature field during laser welding of the AA6056 alloy Application of RDG Hot Tearing Criterion to Welding of Al Alloys 29 Fig. 9. Distribution of HCS Thermo-Mechanical Approach By including the mechanical behaviour of the mush, the strain rate tensor undergone by the dendrites during solidification can be computed and therefore the induced pressure drop; the larger this value, the higher the risk to initiate a hot tear .
18. EU- FP6 Project: WEL-AIR. 19. C. Sigli, R. B. Commet, and T. Warner: In Materials Science Forum vol. 426–432, Issue 1, (2003) pp. 351–356. 20. -M. : In Mathematical Modelling of Weld Phenomena 8, Ed. H. Cerjak (2007) pp. 137–152. 21. ch. 22. -M. Drezet and M. Rappaz: “Prediction of hot tears in DC cast billets” in Light Metals, Ed. -L. Anjier, TMS, (2001) New Orleans, pp. 887–893. 23. O. -L. -M. Drezet, and M. Suéry in Met. Mat. Trans, vol 36A, (June 2005) pp. 1525–1535. 24. com. 25. C. Monroe and C.
In other words, the formation of a coherent solid network by coalescence or bridging of dendrites arms occurs earlier within the grains as compared with grain boundaries. Rappaz et al.  have introduced for that purpose a coalescence or bridging undecooling which, for a pure metal, is given by: Application of RDG Hot Tearing Criterion to Welding of Al Alloys ΔTb = 1 γ gb − 2γ sl δ Δs f 33 (7) where γgb is the grain boundary energy, γsƐ is the solid-liquid interfacial energy, Δsf is the volumetric entropy of fusion and δ is the thickness of the diffuse interfaces.