國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Mathematical theory of elasticity of...

Fan, Tian-You.

Mathematical theory of elasticity of quasicrystals and its applications

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Mathematical theory of elasticity of quasicrystals and its applicationsby Tian-You Fan.
作者:	Fan, Tian-You.
出版者:	Singapore :Springer Singapore :2016.
面頁冊數:	xvi, 452 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	QuasicrystalsElastic properties.
電子資源:	http://dx.doi.org/10.1007/978-981-10-1984-5
ISBN:	9789811019845$q(electronic bk.)

Mathematical theory of elasticity of quasicrystals and its applications
Fan, Tian-You.

Mathematical theory of elasticity of quasicrystals and its applications[electronic resource] /by Tian-You Fan. - 2nd ed. - Singapore :Springer Singapore :2016. - xvi, 452 p. :ill., digital ;24 cm. - Springer series in materials science,v.2460933-033X ;. - Springer series in materials science ;v. 62..

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.

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.

ISBN: 9789811019845$q(electronic bk.)

Standard No.: 10.1007/978-981-10-1984-5doiSubjects--Topical Terms:

514314
Quasicrystals
--Elastic properties.

LC Class. No.: QC173.4.Q36 / F36 2016

Dewey Class. No.: 548.842

Mathematical theory of elasticity of quasicrystals and its applications
LDR:03309nmm a2200337 a 4500 001 497663
003 DE-He213
005 20170314161615.0
006 m d
007 cr nn 008maaau
008 170420s2016 si s 0 eng d
020 $a 9789811019845$q(electronic bk.)
020 $a 9789811019821$q(paper)
024 7 $a 10.1007/978-981-10-1984-5 $2 doi
035 $a 978-981-10-1984-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QC173.4.Q36 $b F36 2016
072 7 $a PNFS $2 bicssc
072 7 $a SCI077000 $2 bisacsh
082 0 4 $a 548.842 $2 23
090 $a QC173.4.Q36 $b F199 2016
100 1 $a Fan, Tian-You. $3 760435
245 1 0 $a Mathematical theory of elasticity of quasicrystals and its applications $h [electronic resource] / $c by Tian-You Fan.
250 $a 2nd ed.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2016.
300 $a xvi, 452 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer series in materials science, $x 0933-033X ; $v v.246
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 Quasicrystals $x Elastic properties. $3 514314
650 0 $a Quasicrystals $x Mathematics. $3 345532
650 1 4 $a Physics. $3 179414
650 2 4 $a Solid State Physics. $3 376486
650 2 4 $a Continuum Mechanics and Mechanics of Materials. $3 273691
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 522718
650 2 4 $a Characterization and Evaluation of Materials. $3 273978
650 2 4 $a Soft and Granular Matter, Complex Fluids and Microfluidics. $3 379754
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Springer series in materials science ; $v v. 62. $3 438346
856 4 0 $u http://dx.doi.org/10.1007/978-981-10-1984-5
950 $a Physics and Astronomy (Springer-11651)