Mathematical research in materials science : opportunities and perspectives / / Committee on the Mathematical Sciences Applied to Materials Science, Board on Mathematical Sciences, Commission on Physical Sciences, Mathematics, and Applications, National Research Council

• Pubblicazione: Washington, DC, : National Academy Press, 1993
• Edizione: 1st ed.
• Descrizione fisica: 1 online resource (141 p.)
• Disciplina: 620.1/1/072
• Soggetto topico: Materials science - Research; Mathematics - Research
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di bibliografia: Includes bibliographical references (p. 103-125).
• Nota di contenuto: MATHEMATICAL RESEARCH IN MATERIALS SCIENCE -- Copyright -- PREFACE -- NOTES -- Contents -- 1 SUMMARY AND OVERVIEW -- 2 ATOMIC SCALE -- 3 MACROMOLECULAR STRUCTURES -- INTRODUCTION -- SINGLE-CHAIN CONFORMATIONS -- MODELING PROTEIN STRUCTURE AND DYNAMICS -- ENTANGLEMENTS, REPTATION, AND ELASTICITY -- Constitutive Equations -- Existence, Well-Posedness -- Numerical Methods and Singularities -- Sharkskin and Spurt Flow -- Flow Instabilities -- Micromechanics -- THEORY OF THE LIQUID STATE OF POLYMERS -- INTERFACES IN POLYMER SYSTEMS -- BLOCK COPOLYMERS -- STIFF POLYMERS AND LIQUID CRYSTALS -- OTHER PROBLEMS -- 4 EVOLUTION OF MICROSTRUCTURES -- INTRODUCTION -- SPINODAL DECOMPOSITION AND NUCLEATION -- GRAIN GROWTH AND OTHER INTERFACE MOTION CONTROLLED BY INTERFACE KINETICS -- Computer Algorithms -- SHAPE EVOLUTION CONTROLLED BY SURFACE DIFFUSION -- MORPHOLOGICAL STABILITY -- Phase Transformations and Pattern Formation -- Dendritic Growth -- MUSHY ZONES -- PRECIPITATION AND COARSENING -- Evolution of Microstructures -- Stress and Current Effects -- MARTENSITE AND SHAPE-MEMORY MATERIALS -- MAGNETIC MATERIALS -- SUPERCONDUCTIVITY -- 5 DEFECTS, DEFORMATION, AND INTERFACES -- INTRODUCTION -- DEVELOPMENT OF MESOSCALE STATISTICAL MECHANICS OF SOLIDS -- MECHANICS OF DEFECTS AND INTERFACES -- PLASTICITY AND FRACTURE -- LARGE LOCAL FIELD-INDUCED INSTABILITY IN RANDOM SYSTEMS -- DYNAMIC FRACTURE -- LIQUID CRYSTALS -- EQUILIBRIUM AND NONEQUILIBRIUM SURFACE STRUCTURE -- DEVELOPMENT OF A LATTICE MODEL OF MICROEMULSIONS -- GRAIN BOUNDARIES -- Statistical Issues -- Statistical Mechanics Models -- Computer Simulation -- 6 AGGREGATES AND DISORDERED MATERIAL -- INTRODUCTION -- COLLOIDAL SUSPENSIONS -- Stokesian Dynamics -- Computational Microhydrodynamics -- Nonequilibrium Statistical Mechanics -- Variational Techniques -- Self-Consistent Field Theories. ; EQUILIBRIUM STRUCTURE -- EFFECTIVE MODULI OF COMPOSITES -- Future Directions -- OPTIMAL COMPOSITES -- GLASSES AND OTHER AMORPHOUS SOLIDS -- 7 PROCESSING, FABRICATION, AND EVALUATION -- INTRODUCTION -- PROCESSING OF SEMICONDUCTOR CHIPS -- AMORPHOUS SEMICONDUCTORS -- CASTING -- POLYMER PROCESSING -- OTHER PROCESSING -- MIXING -- MATHEMATICAL MODELING IN QUANTITATIVE NONDESTRUCTIVE EVALUATION -- FUNCTIONALLY GRADIENT MATERIALS -- NONLINEAR OPTICAL MATERIALS -- 8 MATHEMATICAL AND NUMERICAL METHODS -- INTRODUCTION -- MICROSCOPIC SCALE -- MACROSCOPIC SCALE -- MESOSCOPIC SCALE -- POTENTIALLY APPLICABLE MATHEMATICAL SCIENCES DEVELOPMENTS -- 9 RECOMMENDATIONS -- INTRODUCTION -- Acknowledging Obstacles to Collaboration -- Fostering Increased Collaboration -- RECOMMENDATIONS -- Universities -- Federal and State Government -- Industry -- Universities, Government, and Industry Together -- Professional Societies -- Bibliography -- APPENDIX Contributors to Mathematical Research in Materials Science.
• Sommario/riassunto: 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.
• Titolo autorizzato: Mathematical research in materials science
• ISBN: 9786610195954; 9781280195952; 1280195959; 9780309585651; 0309585651; 9780585153957; 0585153957
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910970035803321
• Lo trovi qui: Univ. Federico II