Mathematical Theory of Elasticity of Quasicrystals and Its Applications : with 82 figures
This inter-disciplinary work covering the continuum mechanics of novel materials, condensed matter physics and partial differential equations discusses the mathematical theory of elasticity of quasicrystals (a new condensed matter) and its applications by setting up new partial differential equation...
Zapisane w:
| 1. autor: | |
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| Format: | Livre numérique |
| Język: | Anglais |
| Wydane: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
2011.
Cham : Springer Nature |
| Hasła przedmiotowe: | |
| Dostęp online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Komentarz: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Mathematical theory of elasticity of quasicrystals and its applications, Tianyou Fan, Berlin, Springer, 2011, XII, 363 S., 978-3-642-14642-8 • Mathematical Theory of Elasticity of Quasicrystals and Its Applications, Texte imprimé, 9783642146442 |
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|---|---|---|---|
| 001 | 968565 | ||
| 008 | 110722s2011 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN153859393 | ||
| 020 | |a 9783642146435 | ||
| 041 | 0 | |a eng | |
| 082 | |a 620.1 | ||
| 100 | 1 | |a Fan, Tianyou. | |
| 245 | 1 | 0 | |a Mathematical Theory of Elasticity of Quasicrystals and Its Applications : |b with 82 figures |c by Tianyou Fan. |
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c 2011. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Preface -- Crystals -- Framework of the classical theory of elasticity -- Quasicrystals and their properties -- Physical basis of the elasticity of quasicrystals -- Elasticity theory of one-dimensional quasicrystals and simplification -- Elasticity theory of two-dimensional quaiscrystals and simplification -- Application I--Some dislocation problems and solutions of one- and two-dimensional quasicrystals -- Application II--Some notch and crack problems and solutions of one- and two-dimensional quasicrystals -- Elasticity of three-dimensional quasicrystals and applications -- Elastodynamics of quasicrystals -- Complex variable function method -- Variational principles, numerical method and solutions of two-dimensional quasicrystals -- Some mathematical principles on solutions of elasticity of quasicrystals -- Nonlinear elasticity and plasticity -- Fracture theory of quasicrystals -- Possible applications of elasticity to the study of specific heat of quasicrystals. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This inter-disciplinary work covering the continuum mechanics of novel materials, condensed matter physics and partial differential equations discusses the mathematical theory of elasticity of quasicrystals (a new condensed matter) and its applications by setting up new partial differential equations of higher order and their solutions under complicated boundary value and initial value conditions. The new theories developed here dramatically simplify the solving of complicated elasticity equation systems. Large numbers of complicated equations involving elasticity are reduced to a single or a few partial differential equations of higher order. Systematical and direct methods of mathematical physics and complex variable functions are developed to solve the equations under appropriate boundary value and initial value conditions, and many exact analytical solutions are constructed. The dynamic and non-linear analysis of deformation and fracture of quasicrystals in this volume presents an innovative approach. It gives a clear-cut, strict and systematic mathematical overview of the field. Comprehensive and detailed mathematical derivations guide readers through the work. By combining mathematical calculations and experimental data, theoretical analysis and practical applications, and analytical and numerical studies, readers will gain systematic, comprehensive and in-depth knowledge on continuum mechanics, condensed matter physics and applied mathematics. | ||
| 650 | |a Élasticité | ||
| 650 | |a Quasicristaux | ||
| 776 | 0 | |0 161570984 |t Mathematical theory of elasticity of quasicrystals and its applications |f Tianyou Fan |c Berlin |n Springer |d 2011 |p XII, 363 S. |z 978-3-642-14642-8 | |
| 776 | 0 | |t Mathematical Theory of Elasticity of Quasicrystals and Its Applications |b Texte imprimé |z 9783642146442 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-642-14643-5 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-5351H58V-5 |z Accès sur la plateforme Istex | |
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| 856 | 4 | |5 180339901:753977206 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/978-3-642-14643-5 |z Accès INSA CVL | |
| 997 | |0 968565 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||