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

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Analysis finds upper bounds for nonlinear elasticity homogenization in hyperelastic models, indicating constraints on deformation behavior.

Upper bounds are established for the gamma-limit as periodicity approaches zero, indicating deformation behavior constraints.
The analysis involves periodic homogenization of hyperelastic models incorporating incompressibility constraints.
Using the standard multicell-formula, functional evaluation indicates volume preserving deformation effects.
Highlights the constraints on deformation behavior under the incompressibility condition in nonlinear elasticity.

Ruf et al. (2025) studied this question.

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Analysis finds upper bounds for nonlinear elasticity homogenization in hyperelastic models, indicating constraints on deformation behavior.