Variational Principles of Continuum Mechanics : II. Applications
The book reviews the two features of the variational approach: its use as a universal tool to describe physical phenomena and as a source for qualitative and quantitative methods of studying particular problems. Berdichevsky s work differs from other books on the subject in focusing mostly on the ph...
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| Autor principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
2009.
Cham : Springer Nature |
| coleção: | Interaction of Mechanics and Mathematics
|
| Assuntos: | |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Variational Principles of Continuum Mechanics, Texte imprimé, 9783540885061 • Variational principles of continuum mechanics, II, Applications, Victor Berdichevsky, Berlin, Springer, 2009, 1 vol. (X-1014 p.), Interaction of mechanics and mathematics, 978-3-540-88468-2 |
| LEADER | 03875nam a22003377a 4500 | ||
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| 001 | 967859 | ||
| 008 | 100125s2009 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN139954236 | ||
| 020 | |a 9783540884699 | ||
| 041 | 0 | |a eng | |
| 082 | |a 620.1 | ||
| 100 | 1 | |a Berdichevsky, Victor L., |d 1944- | |
| 245 | 1 | 0 | |a Variational Principles of Continuum Mechanics : |b II. Applications |c by Victor Berdichevsky. |
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c 2009. | ||
| 490 | 0 | |a Interaction of Mechanics and Mathematics |x 1860-6253 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Some Applications of Variational Methods to Development -- Theory of Elastic Plates and Shells -- Elastic Beams -- Some Stochastic Variational Problems -- Homogenization -- Homogenization of Random Structures: a Closer View -- Some Other Applications. | |
| 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 The book reviews the two features of the variational approach: its use as a universal tool to describe physical phenomena and as a source for qualitative and quantitative methods of studying particular problems. Berdichevsky s work differs from other books on the subject in focusing mostly on the physical origin of variational principles as well as establishing their interrelations. For example, the Gibbs principles appear as a consequence of the Einstein formula for thermodynamic fluctuations rather than as the first principles of the theory of thermodynamic equilibrium. Mathematical issues are considered as long as they shed light on the physical outcomes and/or provide a useful technique for the direct study of variational problems. In addition, a thorough account of variational principles discovered in various branches of continuum mechanics is given. This book, the second volume, describes how the variational approach can be applied to constructing models of continuum media, such as the theory of elastic plates; shells and beams; shallow water theory; heterogeneous mixtures; granular materials; and turbulence. It goes on to apply the variational approach to asymptotical analysis of problems with small parameters, such as the derivation of the theory of elastic plates, shells and beams from three-dimensional elasticity theory; and the basics of homogenization theory. A theory of stochastic variational problems is considered in detail too, along with applications to the homogenization of continua with random microstructures. | ||
| 650 | |a Génie mécanique | ||
| 776 | 0 | |t Variational Principles of Continuum Mechanics |b Texte imprimé |z 9783540885061 | |
| 776 | 0 | |0 155623257 |t Variational principles of continuum mechanics |h II |i Applications |f Victor Berdichevsky |c Berlin |n Springer |d 2009 |p 1 vol. (X-1014 p.) |s Interaction of mechanics and mathematics |z 978-3-540-88468-2 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-540-88469-9 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-32SCGN60-W |z Accès sur la plateforme Istex | |
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| 856 | 4 | |5 180339901:75396242X |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-540-88469-9 |z Accès INSA CVL | |
| 997 | |0 967859 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||