- Tytuł:
- Effective energy integral functionals for thin films with three dimensional bending moment in the Orlicz-Sobolev space setting
- Autorzy:
-
Laskowski, Włodzimierz
Nguyen, Hong - Powiązania:
- https://bibliotekanauki.pl/articles/729638.pdf
- Data publikacji:
- 2016
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
Γ-convergence
3D-2D dimension reduction
quasiconvex relaxation
minimizers of variational integral functionals
thin films
elastic membranes
effective energy integral functional
bulk and surface energy
equilibrium states of the film
non-power-growth-type bulk energy density
reflexive Orlicz and Orlicz-Sobolev spaces - Opis:
- In this paper we consider an elastic thin film ω ⊂ ℝ² with the bending moment depending also on the third thickness variable. The effective energy functional defined on the Orlicz-Sobolev space over ω is described by Γ-convergence and 3D-2D dimension reduction techniques. Then we prove the existence of minimizers of the film energy functional. These results are proved in the case when the energy density function has the growth prescribed by an Orlicz convex function M. Here M is assumed to be non-power-growth-type and to satisfy the conditions Δ₂ and ∇₂.
- Źródło:
-
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2016, 36, 1; 7-31
1509-9407 - Pojawia się w:
- Discussiones Mathematicae, Differential Inclusions, Control and Optimization
- Dostawca treści:
- Biblioteka Nauki
Artykuł