This quantity includes papers awarded on the NATO complicated learn Workshop at the constitution and Dynamics of partly Solidified platforms held at Stanford Sierra hotel, Tahoe, California, could 12-16, 1986. This paintings­ store grew out of a awareness that there has been an important volume of curiosity and job during this subject in different unrelated disciplines, and that it'd be collectively precious to assemble these mathemati'­ cians, scientists and engineers attracted to this topic to proportion their wisdom and concepts with one another. partly solidified structures ensue in various ordinary and guy­ made environments. might be the main recognized incidence contains the solidification of steel alloys. usually as a molten alloy is cooled, the cast part advances from the chilly boundary into the liquid as a branching wooded area of dendritic crystals. This creates a sector of combined stable and liquid stages, mostly often called a comfortable quarter, during which the cast varieties a rigidly attached framework with the liquid taking place within the intercrystalline gaps. as well as the casting of steel alloys, gentle zones can happen in weld swimming pools, the Earth's center and. mantle, magma chambers, temperate glaciers, frozen soils, frozen lakes and sea ice. A moment mechanical configuration for the forged section is as a suspension of small crystals in the liquid; this can be known as a slurry.