Mathematical Research in Materials Science: Opportunities and Perspectives

Overview

This book describes fruitful past collaborations between the mathematical and materials sciences and indicates future challenges. It seeks both to encourage mathematical sciences research that will complement vital research in materials science and to raise awareness of the value of quantitative methods. The volume encourages both communities to increase cross-disciplinary collaborations, emphasizing that each has much to gain from such an increase, and it presents ...
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030904930X Ex-Library in cardboard library binding with all the usual markings, possible attachments, and library wear.

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PAPERBACK Very Good 030904930X Ex-Library in cardboard library binding with all the usual markings, possible attachments, and library wear.

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Overview

This book describes fruitful past collaborations between the mathematical and materials sciences and indicates future challenges. It seeks both to encourage mathematical sciences research that will complement vital research in materials science and to raise awareness of the value of quantitative methods. The volume encourages both communities to increase cross-disciplinary collaborations, emphasizing that each has much to gain from such an increase, and it presents recommendations for facilitating such work.
This book is written for both mathematical and materials science researchers interested in advancing research at this interface; for federal and state agency representatives interested in encouraging such collaborations; and for anyone wanting information on how such cross-disciplinary, collaborative efforts can be accomplished successfully.
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Product Details

  • ISBN-13: 9780309049306
  • Publisher: National Academies Press
  • Publication date: 1/1/1993
  • Pages: 144
  • Product dimensions: 8.44 (w) x 10.90 (h) x 0.36 (d)

Table of Contents

1 Summary and Overview 1
2 Atomic Scale 5
3 Macromolecular Structures 11
Single-Chain Conformations 12
Modeling Protein Structure and Dynamics 15
Entanglements, Reptation, and Elasticity 18
Theory of the Liquid State of Polymers 24
Interfaces in Polymer Systems 27
Block Copolymers 30
Stiff Polymers and Liquid Crystals 32
Other Problems 33
4 Evolution of Microstructures 34
Spinodal Decomposition and Nucleation 34
Grain Growth and Other Interface Motion Controlled by Interface Kinetics 35
Shape Evolution Controlled by Surface Diffusion 38
Morphological Stability 39
Mushy Zones 43
Precipitation and Coarsening 43
Martensite and Shape-Memory Materials 45
Magnetic Materials 48
Superconductivity 49
5 Defects, Deformation, and Interfaces 52
Development of Mesoscale Statistical Mechanics of Solids 54
Mechanics of Defects and Interfaces 54
Plasticity and Fracture 55
Large Local Field-Induced Instability in Random Systems 57
Dynamic Fracture 58
Liquid Crystals 59
Equilibrium and Nonequilibrium Surface Structure 62
Development of a Lattice Model of Microemulsions 63
Grain Boundaries 64
6 Aggregates and Disordered Material 66
Colloidal Suspensions 66
Equilibrium Structure 69
Effective Moduli of Composites 70
Optimal Composites 74
Glasses and Other Amorphous Solids 75
7 Processing, Fabrication, and Evaluation 77
Processing of Semiconductor Chips 77
Amorphous Semiconductors 79
Casting 79
Polymer Processing 80
Other Processing 80
Mixing 80
Mathematical Modeling in Quantitative Nondestructive Evaluation 81
Functionally Gradient Materials 82
Nonlinear Optical Materials 83
8 Mathematical and Numerical Methods 88
Microscopic Scale 89
Macroscopic Scale 91
Mesoscopic Scale 93
Potentially Applicable Mathematical Sciences Developments 94
9 Recommendations 97
Bibliography 103
Appendix 127
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