Phase transformation in metals : mathematics, theory, and practice

"This textbook explains the physics of phase transformation and associated constraints from a metallurgical or materials science point of view, based on many topics including crystallography, mass transport by diffusion, thermodynamics, heat transfer and related temperature gradients, thermal deformation, and even fracture mechanics. The work presented emphasizes solidification and related analytical models based on heat transfer. This corresponds with the most fundamental physical event of continuous evolution of latent heat of fusion for directional or non-directional liquid-to-solid phase transformation at a specific interface with a certain geometrical shape, such as planar or curved front. Dr. Perez introduces mathematical and engineering approximation schemes for describing the phase transformation, mainly during solidification of pure metals and alloys. Giving clear definitions and explanations of theoretical concepts and full detail of derivation of formulae, this interdisciplinary volume is ideal for graduate and upper-level undergraduate students in applied science, and professionals in the metal making and surface reconstruction industries. Reinforces concepts with example problems illustrating the application of thermodynamics and heat transfer techniques for solving complex solidification problems Adopts an easy and succinct manner narrative style Elucidates solidification shrinkage and gas porosity in casting defects Describes analysis of cracks around a pore using linear elastic fracture mechanics (LEFM)"--Prové de l'editor Front Matter ....Pages i-xix Crystallography (Nestor Perez)....Pages 1-44 Surface Reconstruction (Nestor Perez)....Pages 45-74 Mass Transport by Diffusion (Nestor Perez)....Pages 75-115 Solidification (Nestor Perez)....Pages 117-206 Planar Metal Solidification (Nestor Perez)....Pages 207-260 Contour Metal Solidification (Nestor Perez)....Pages 261-285 Alloy Solidification I (Nestor Perez)....Pages 287-343 Alloy Solidification II (Nestor Perez)....Pages 345-395 Solid-State Phase Change (Nestor Perez)....Pages 397-459 Solidification Defects (Nestor Perez)....Pages 461-518 Back Matter ....Pages 519-544