LEADER 05765nam 2200661 a 450 001 9910970035803321 005 20251116141223.0 010 $a9786610195954 010 $a9781280195952 010 $a1280195959 010 $a9780309585651 010 $a0309585651 010 $a9780585153957 010 $a0585153957 035 $a(CKB)110986584753398 035 $a(OCoLC)43477216 035 $a(CaPaEBR)ebrary10055179 035 $a(SSID)ssj0000199182 035 $a(PQKBManifestationID)11169246 035 $a(PQKBTitleCode)TC0000199182 035 $a(PQKBWorkID)10184622 035 $a(PQKB)11002317 035 $a(MiAaPQ)EBC3376184 035 $a(Au-PeEL)EBL3376184 035 $a(CaPaEBR)ebr10055179 035 $a(OCoLC)923261821 035 $a(Perlego)4738740 035 $a(BIP)1008602 035 $a(EXLCZ)99110986584753398 100 $a19940302d1993 uy 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMathematical research in materials science $eopportunities and perspectives /$fCommittee on the Mathematical Sciences Applied to Materials Science, Board on Mathematical Sciences, Commission on Physical Sciences, Mathematics, and Applications, National Research Council 205 $a1st ed. 210 $aWashington, DC $cNational Academy Press$d1993 215 $a1 online resource (141 p.) 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a9780309049306 311 08$a030904930X 320 $aIncludes bibliographical references (p. 103-125). 327 $aMATHEMATICAL 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. 327 $aEQUILIBRIUM 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. 330 $aThis 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. 606 $aMaterials science$xResearch 606 $aMathematics$xResearch 615 0$aMaterials science$xResearch. 615 0$aMathematics$xResearch. 676 $a620.1/1/072 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910970035803321 996 $aMathematical research in materials science$94351289 997 $aUNINA