Upper bounds for the homogenization problem in nonlinear elasticity : the incompressible case
Abstract
We consider periodic homogenization of hyperelastic models incorporating incompressible behavior via the constraint det(∇u) = 1. We show that the ’usual’ homogenized integral functional ´ Whom(∇u) dx, where Whom is the standard multicell-formula of non-convex homogenization restricted to volume preserving deformations, yields an upper bound for the -limit as the scale of periodicity tends to zero.
Fields of Study & Subjects
Advanced Mathematical Modeling in Engineering
Composite Material Mechanics
Nonlinear Partial Differential Equations
Publication details
- Journal / source
- Digitalen Hochschulbibliothek Sachsen-Anhalt (Universitäts- und Landesbibliothek Sachsen-Anhalt)
- Publication date
- 1 January 2026
- Language
- EN