机读格式显示(MARC)

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• 001 0000851654

• 003 CAL

• 005 20180322155700.0

• 008 160920s2017 cc a b 000 0 eng d

• 020 __ |a 9787030474292 (Beijing)

• 020 __ |a 9789811019821 (New York)

• 040 __ |a PUL |c PUL |d JLU |d SCT

• 050 _4 |a QC176-176.9

• 082 04 |a 530.41 |2 23

• 093 __ |a O753 |2 5

• 099 __ |a CAL 022017019761

• 100 1_ |a Fan, Tianyou |9 (范天佑)

• 245 10 |a Mathematical theory of elasticity of quasicrystals and its applications / |c Tian-You Fan = 准晶数学弹性理论及应用 / 范天佑.

• 246 31 |a 准晶数学弹性理论及应用

• 250 __ |a 2nd ed.

• 260 __ |a Beijing : |b Science Press, |c c2017.

• 300 __ |a xviii, 452 p. : |b ill. ; |c 25 cm.

• 490 1_ |a Mathematics monograph series ; |v 32

• 504 __ |a Includes bibliographical references.

• 505 0_ |a 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.

• 520 __ |a 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.

• 650 _0 |a Physics.

• 650 _0 |a Mathematical physics.

• 650 _0 |a Solid state physics.

• 650 _0 |a Amorphous substances.

• 650 _0 |a Complex fluids.

• 650 _0 |a Continuum mechanics.

• 650 _0 |a Materials science.

• 830 _0 |a Mathematics monograph series (Beijing, China) ; |v 32.