The Resource Mathematical Theory of Elasticity of Quasicrystals and Its Applications, by Tian-You Fan, (electronic resource)

Mathematical Theory of Elasticity of Quasicrystals and Its Applications, by Tian-You Fan, (electronic resource)

Label
Mathematical Theory of Elasticity of Quasicrystals and Its Applications
Title
Mathematical Theory of Elasticity of Quasicrystals and Its Applications
Statement of responsibility
by Tian-You Fan
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
This 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
Member of
http://library.link/vocab/creatorName
Fan, Tianyou
Image bit depth
0
LC call number
QC176-176.9
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Springer Series in Materials Science,
Series volume
246
http://library.link/vocab/subjectName
  • Physics
  • Mathematical physics
  • Solid state physics
  • Amorphous substances
  • Complex fluids
  • Continuum mechanics
  • Materials science
  • Physics
  • Solid State Physics
  • Continuum Mechanics and Mechanics of Materials
  • Mathematical Applications in the Physical Sciences
  • Characterization and Evaluation of Materials
  • Soft and Granular Matter, Complex Fluids and Microfluidics
Label
Mathematical Theory of Elasticity of Quasicrystals and Its Applications, by Tian-You Fan, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Crystals -- 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
Dimensions
unknown
Edition
2nd ed. 2016.
Extent
XVI, 452 p. 103 illus., 40 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9789811019845
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-981-10-1984-5
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-981-10-1984-5
Label
Mathematical Theory of Elasticity of Quasicrystals and Its Applications, by Tian-You Fan, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Crystals -- 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
Dimensions
unknown
Edition
2nd ed. 2016.
Extent
XVI, 452 p. 103 illus., 40 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9789811019845
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-981-10-1984-5
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-981-10-1984-5

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