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100   $a20160920d2016      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aMathematical Theory of Elasticity of Quasicrystals and Its Applications /$fby Tian-You Fan
205   $a2nd ed. 2016.
210  1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2016.
215   $a1 online resource (XVI, 452 p. 103 illus., 40 illus. in color.) 
225 1 $aSpringer Series in Materials Science,$x0933-033X ;$v246
311   $a981-10-1982-7 
320   $aIncludes bibliographical references at the end of each chapters.
327   $aCrystals -- Framework of crystal elasticity -- Quasicrystals and their properties -- The physical basis of elasticity of solid quasicrystals -- Elasticity theory of one-dimensional quasicrystals and simplification.-Elasticity theory of two-dimensional quasicrystals and simplification -- Application I?Some dislocation and interface problems and solutions of one- and two-dimensional quasicrystals -- Application II?Solutions of notch and crack problems of one- and two-dimensional quasicrystals -- Elasticity of three-dimensional quasicrystals and its applications -- Phonon-phason dynamics and defects dynamics of solid quasicrystals -- Complex analysis method -- Variational principles of elasticity of quasicrystals, numerical analysis and applications -- Some mathematical principles on solutions of elasticity of quasicrystals -- Nonlinear behaviour of solid quasicrystals -- Fracture theory of solid quasicrystals -- Hydrodynamics of quasicrystals -- Conclusion remarkable.
330   $aThis interdisciplinary work on condensed matter physics, the continuum mechanics of novel materials, and partial differential equations, discusses the mathematical theory of elasticity and hydrodynamics of quasicrystals, as well as its applications. By establishing new partial differential equations of higher order and their solutions under complicated boundary value and initial value conditions, the theories developed here dramatically simplify the solution of complex elasticity problems. Comprehensive and detailed mathematical derivations guide readers through the work. By combining theoretical analysis and experimental data, mathematical studies and practical applications, readers will gain a systematic, comprehensive and in-depth understanding of condensed matter physics, new continuum mechanics and applied mathematics. This new edition covers the latest developments in quasicrystal studies. In particular, it pays special attention to the hydrodynamics, soft-matter quasicrystals, and the Poisson bracket method and its application in deriving hydrodynamic equations. These new sections make the book an even more useful and comprehensive reference guide for researchers working in Condensed Matter Physics, Chemistry and Materials Science.
410  0$aSpringer Series in Materials Science,$x0933-033X ;$v246
606   $aSolid state physics
606   $aMechanics
606   $aMechanics, Applied
606   $aMathematical physics
606   $aMaterials science
606   $aAmorphous substances
606   $aComplex fluids
606   $aSolid State Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P25013
606   $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010
606   $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120
606   $aCharacterization and Evaluation of Materials$3https://scigraph.springernature.com/ontologies/product-market-codes/Z17000
606   $aSoft and Granular Matter, Complex Fluids and Microfluidics$3https://scigraph.springernature.com/ontologies/product-market-codes/P25021
615  0$aSolid state physics.
615  0$aMechanics.
615  0$aMechanics, Applied.
615  0$aMathematical physics.
615  0$aMaterials science.
615  0$aAmorphous substances.
615  0$aComplex fluids.
615 14$aSolid State Physics.
615 24$aSolid Mechanics.
615 24$aMathematical Applications in the Physical Sciences.
615 24$aCharacterization and Evaluation of Materials.
615 24$aSoft and Granular Matter, Complex Fluids and Microfluidics.
676   $a530
700   $aFan$b Tian-You$4aut$4http://id.loc.gov/vocabulary/relators/aut$0816192
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910254623903321
996   $aMathematical Theory of Elasticity of Quasicrystals and Its Applications$91821452
997   $aUNINA