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Mathematical elasticity. Volume II, Theory of plates /
The objective of Volume II is to show how asymptotic methods, with the thickness as the small parameter, indeed provide a powerful means of justifying two-dimensional plate theories. More specifically, without any recourse to any a priori assumptions of a geometrical or mechanical nature, it is show...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; New York : New York, N.Y., U.S.A. :
North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
1997.
|
| Colección: | Studies in mathematics and its applications ;
v. 27. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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| 100 | 1 | |a Ciarlet, Philippe G., |e author. | |
| 245 | 1 | 0 | |a Mathematical elasticity. |n Volume II, |p Theory of plates / |c Philippe G. Ciarlet. |
| 246 | 3 | 0 | |a Theory of plates |
| 264 | 1 | |a Amsterdam ; |a New York : |b North-Holland ; |a New York, N.Y., U.S.A. : |b Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., |c 1997. | |
| 300 | |a 1 online resource : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Studies in mathematics and its applications ; |v v. 27 | |
| 520 | |a The objective of Volume II is to show how asymptotic methods, with the thickness as the small parameter, indeed provide a powerful means of justifying two-dimensional plate theories. More specifically, without any recourse to any a priori assumptions of a geometrical or mechanical nature, it is shown that in the linear case, the three-dimensional displacements, once properly scaled, converge in H1 towards a limit that satisfies the well-known two-dimensional equations of the linear Kirchhoff-Love theory; the convergence of stress is also established. In the nonlinear case, again after ad hoc scalings have been performed, it is shown that the leading term of a formal asymptotic expansion of the three-dimensional solution satisfies well-known two-dimensional equations, such as those of the nonlinear Kirchhoff-Love theory, or the von �Kr�mn equations. Special attention is also given to the first convergence result obtained in this case, which leads to two-dimensional large deformation, frame-indifferent, nonlinear membrane theories. It is also demonstrated that asymptotic methods can likewise be used for justifying other lower-dimensional equations of elastic shallow shells, and the coupled pluri-dimensional equations of elastic multi-structures, i.e., structures with junctions. In each case, the existence, uniqueness or multiplicity, and regularity of solutions to the limit equations obtained in this fashion are also studied. | ||
| 504 | |a Includes bibliographical references and indexes. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a v. 1. Three-dimensional elasticity -- v. 2. Theory of plates -- v. 3. Theory of shells. | |
| 650 | 0 | |a Elasticity. | |
| 650 | 0 | |a Elastic plates and shells. | |
| 650 | 2 | |a Elasticity |0 (DNLM)D004548 | |
| 650 | 6 | |a �Elasticit�e. |0 (CaQQLa)201-0024289 | |
| 650 | 6 | |a Plaques et coques �elastiques. |0 (CaQQLa)201-0040890 | |
| 650 | 7 | |a SCIENCE |x Mechanics |x General. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Mechanics |x Solids. |2 bisacsh | |
| 650 | 7 | |a Elastic plates and shells |2 fast |0 (OCoLC)fst00904190 | |
| 650 | 7 | |a Elasticity |2 fast |0 (OCoLC)fst00904211 | |
| 650 | 1 | 7 | |a Elasticiteit. |2 gtt |
| 776 | 0 | 8 | |a Ciarlet, Philippe G. |t Mathematical elasticity. |d Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1988-2000 |z 0444702598 |w (DLC) 87023741 |w (OCoLC)16684938 |
| 830 | 0 | |a Studies in mathematics and its applications ; |v v. 27. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780444825704 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=01682024&volume=27 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/01682024/27 |z Texto completo |