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Upper bounds for the homogenization problem in nonlinear elasticity : the incompressible case

Year: 2026

Type: article

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.

Source: Digitalen Hochschulbibliothek Sachsen-Anhalt (Universitäts- und Landesbibliothek Sachsen-Anhalt)

DOI: 10.25673/121782

Authors: Ruf, Matthias, Schäffner, Mathias

Language: English

Topic: Advanced Mathematical Modeling in Engineering

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7119600403

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