Naslov
Optimal shape design for layered plates

Autori
Antonić, Nenad ; Balenović, Neven

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Sixth SIAM Conference on Optimisation / Gill, P ; Kelley, C. - Philadelphia (PA) : Society for Industrial and Applied Mathematics, 1999, 108-108

Skup
Sixth SIAM Conference on Optimisation

Mjesto i datum
Atlanta (GA), Sjedinjene Američke Države, 10.05.1999. - 12.05.1999

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
optimal design; homogenisation; relaxation; H-convergence; Young measures

Sažetak
We study a homogeneous Dirichlet boundary value problem for stationary plate equation. This equation is known (Kirchhoff model of pure bending) to describe an ellastic symmetric plate clamped at the boundary. The goal is to find the optimal shape, such that the compliance functional is minimised. Among the admissible plates with prescribed volume and bounded thickness, the problem has no solution. Therefore the relaxation procedure is performed, introducing the Young measure as generalised thickness. In the spirit of Tartar, we develop a new homogenisation method for this problem, obtaining the optimal relaxation result for general materials.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA