Structural Analysis of Metallic Glasses with Computational Homology

ISBN-13: 9784431560548 / Angielski / Miękka / 2016 / 66 str.

Akihiko Hirata; Kaname Matsue; Motoko Kotani

Opis

This book introduces the application of computational homology for structural analysis of metallic glasses. The book begins with a brief basic survey of metallic glasses and computational homology, then goes on to the detailed procedures and interpretation of computational homology analysis for metallic glasses.

Recenzje

"This book presents a combination of physical and mathematical chapters aimed to provide an introduction to the methods. ... the physical chapters give a clear introduction into the underlying structures and the motivation of the approach, while the mathematical chapters provide a formal description of mathematical methods ... . this book not only reviews the obtained results but also shortly formulates open problems and emerging topics in the field of more accurate homological analysis of disordered media." (Eugene Postnikov, zbMATH 1352.82001, 2017)

Spis treści

1. Introduction.- 2. Metallic glasses.- 2.1. What is glass?.- 2-2. Structure and properties of metallic glasses.- 2-3. Structure determination and its difficulty.- 3. Homology and computational homology.- 3.1. Cubical complex.- 3.2. Cubical homology.- 3.3. Computing homology groups.- 4. Structure analysis of metallic glasses.- 4.1. Advantage of computational homology.- 4.2. Preparation of input data for metallic glasses.- 4.3. Computing procedure for metallic glasses.- 4.4. Interpretation of results obtained by computational homology.- 5. Appendix.

Blurb

This book introduces the application of computational homology for structural analysis of metallic glasses. Metallic glasses, relatively new materials in the field of metals, are the next-generation structural and functional materials owing to their excellent properties. To understand their properties and to develop novel metallic glass materials, it is necessary to uncover their atomic structures which have no periodicity, unlike crystals. Although many experimental and simulation studies have been performed to reveal the structures, it is extremely difficult to perceive a relationship between structures and properties without an appropriate point of view, or language. The purpose here is to show how a new approach using computational homology gives a useful insight into the interpretation of atomic structures. It is noted that computational homology has rapidly developed and is now widely applied for various data analyses. The book begins with a brief basic survey of metallic glasses and computational homology, then goes on to the detailed procedures and interpretation of computational homology analysis for metallic glasses. Understandable and readable information for both materials scientists and mathematicians is also provided.