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Nestor Perez

Phase Transformation in Metals: Mathematics, Theory and Practice

Phase Transformation in Metals: Mathematics, Theory and Practice

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  • More about Phase Transformation in Metals: Mathematics, Theory and Practice


This textbook covers phase transformation physics from a metallurgical or materials science perspective, focusing on solidification and related analytical models. It is ideal for graduate and upper-level undergraduate students in applied science and professionals in the metal-making and surface reconstruction industries.

Format: Paperback / softback
Length: 544 pages
Publication date: 27 September 2021
Publisher: Springer Nature Switzerland AG


This comprehensive textbook delves into the intricate realm of phase transformation, offering a comprehensive metallurgical or materials science perspective. It encompasses a wide range of topics, including crystallography, mass transport by diffusion, thermodynamics, heat transfer, and related temperature gradients, thermal deformation, and even fracture mechanics. The central focus of the work lies in solidification and related analytical models rooted in heat transfer. This aligns with the fundamental physical phenomenon of the continuous evolution of latent heat during liquid-to-solid phase transformations, occurring at specific interfaces with distinct geometrical shapes, such as planar or curved fronts.

Dr. Perez, a renowned expert in the field, introduces mathematical and engineering approximation schemes to describe phase transformations, particularly during the solidification of pure metals and alloys. With meticulous clarity, he provides precise definitions and thorough explanations of theoretical concepts, accompanied by detailed derivations of formulae. This interdisciplinary volume is meticulously crafted to cater to graduate and upper-level undergraduate students in applied science, as well as professionals engaged in the metal-making and surface reconstruction industries.

The textbook begins by introducing the fundamental principles of phase transformation, including the concepts of phases, phase diagrams, and phase stability. It then delves into the mechanisms governing phase transformation, such as nucleation, growth, and solidification. Crystallography plays a pivotal role in understanding the structural aspects of phases, and the book provides detailed explanations of crystal structures, crystal growth, and the formation of defects.

Mass transport by diffusion is another critical aspect of phase transformation, and the book explores the principles of diffusion in solids and liquids. It discusses the effects of temperature, concentration, and surface properties on diffusion rates and the development of concentration gradients. Thermodynamics is applied to analyze the energy and entropy changes associated with phase transformations, and the book discusses the principles of heat transfer, including conduction, convection, and radiation.

Heat transfer and temperature gradients are closely interconnected, and the book explores the effects of these factors on phase transformation. It discusses the development of thermal stresses and strains, the formation of thermal defects, and the influence of temperature gradients on the kinetics of phase transformations. Thermal deformation is also examined, including the mechanisms of plastic deformation, creep, and fatigue.

Fracture mechanics is an essential aspect of phase transformation, particularly in the context of metals and alloys. The book discusses the principles of fracture mechanics, including the formation and propagation of cracks, the stress and strain fields in cracked materials, and the mechanisms of fracture toughness. It also explores the application of fracture mechanics to the design and analysis of structures subjected to mechanical loads.

In addition to the theoretical aspects, the textbook provides practical examples and case studies to illustrate the application of phase transformation principles in various industries. It discusses the solidification of pure metals, alloys, and composites, as well as the surface reconstruction of metals and alloys. The book also addresses the challenges and opportunities associated with phase transformation, such as the development of new materials with improved properties, the optimization of manufacturing processes, and the recycling of waste materials.

Throughout the textbook, Dr. Perez emphasizes the interdisciplinary nature of phase transformation and its relevance to various fields. He encourages readers to approach phase transformation from a holistic perspective, considering the interactions between different scientific disciplines and engineering applications. The book is well-illustrated with diagrams, figures, and tables, making it accessible to students with a range of backgrounds.

In conclusion, this comprehensive textbook offers a thorough and authoritative exploration of phase transformation, providing a valuable resource for students, researchers, and professionals in the field of metallurgy and materials science. It offers a comprehensive understanding of the theoretical principles, analytical models, and practical applications of phase transformation, enabling readers to apply their knowledge to real-world problems and contribute to the advancement of this interdisciplinary field.

Weight: 854g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030491703
Edition number: 1st ed. 2020

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