|
Zapiski Nauchnykh Seminarov POMI, 2004, Volume 310, Pages 114–144
(Mi znsl809)
|
|
|
|
This article is cited in 2 scientific papers (total in 2 papers)
About homogenization of elasticity problems on combined structures
S. E. Pastukhova Moscow State Institute of Radio-Engineering, Electronics and Automation (Technical University)
Abstract:
We study elasticity problems in the plane (space) reinforced with periodic thin network (box structure). This highly contrasting medium depends on two small related parameters $\varepsilon$ and $h$ connected with each other which controlling size of periodicity cell and thickness of reinforcement. For combined structures we prove classical homogenization principle the same for any interrelation between parameters $\varepsilon$ and $h$ that is quite contrary to the case of thin structures. We use method of 2-scale convergence with respect to variable measure natural to combined structures.
Received: 23.09.2004
Citation:
S. E. Pastukhova, “About homogenization of elasticity problems on combined structures”, Boundary-value problems of mathematical physics and related problems of function theory. Part 35, Zap. Nauchn. Sem. POMI, 310, POMI, St. Petersburg, 2004, 114–144; J. Math. Sci. (N. Y.), 132:3 (2006), 313–330
Linking options:
https://www.mathnet.ru/eng/znsl809 https://www.mathnet.ru/eng/znsl/v310/p114
|
Statistics & downloads: |
Abstract page: | 319 | Full-text PDF : | 102 | References: | 69 |
|