Alloys are susceptible to cracking during solidification. Al alloys, stainless steels and Ni-base alloys are notable examples. In casting such cracking is called hot tearing [1,2]. In welding it is called solidification cracking [3]. Cracking occurs in the region of semisolid called the mushy zone. According to Novikov [4], cracking during solidification is caused by obstructed shrinkage. An alloy tends to shrink during solidification due to solidification shrinkage inside the mushy zone and thermal contraction both inside and outside the mushy zone. Solidification shrinkage is caused by the higher density of the solid than the liquid, e.g., by 6.6% in the case of Al [1]. Thermal contraction, on the other hand, is associated with the thermal expansion coefficient of materials. In casting shrinkage is obstructed by the rigid mold walls, especially those of metal molds. In welding it is obstructed by the rigid body the workpiece is clamped down or connected to