A property of the H-convergence for elasticity in perforated domains
| dc.contributor.author | Haddadou, Hamid | |
| dc.date.accessioned | 2021-07-20T21:25:26Z | |
| dc.date.available | 2021-07-20T21:25:26Z | |
| dc.date.issued | 2006-10-31 | |
| dc.description.abstract | In this article, we obtain the H0e-convergence as a limit case of the He-convergence. More precisely, if Ωε is a perforated domain with (admissible) holes Tε and Xε denote its characteristic function and if (Aε, Tε) H0ε⇀ A0, we show how the behavior as (ε, δ) → (0, 0) of the double sequence of tensors Aεδ = (Xε + δ(1 - xε))Aε is connected to A0. These results extend those given by Cioranescu, Damlamian, Donato and Mascarenhas in [3] for the H-convergence of the scalar second elliptic operators to the linearized elasticity systems. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 11 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Haddadou, H. (2006). A property of the H-convergence for elasticity in perforated domains. <i>Electronic Journal of Differential Equations, 2006</i>(137), pp. 1-11. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14010 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Homogenization | |
| dc.subject | H-convergence | |
| dc.subject | Linearized elasticity system | |
| dc.subject | Perforated domains | |
| dc.title | A property of the H-convergence for elasticity in perforated domains | |
| dc.type | Article |