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Hyperelastic homogenized law for reinforced elastomer at finite strain with edge effects. (English) Zbl 0916.73028

The author deals with the static microstructural effects of periodic hyperelastic composites at finite strain. Using the asymptotic process, he develops a homogenization procedure at finite strain and examines hyperelastic behavior of each constituent. The elastomer is assumed as nearly incompressible. An application of this approach is given using periodically stratified composites. A numerical simulation is then investigated on steel/elastomer composite, and the validity of the models is studied. When each constituent is neo-Hookean, the continuum homogenized model can be determined analytically. Since the classical asymptotic solution is not valid in the neighbourhood of the boundaries, boundary layers are added to the classical asymptotic terms. In this way, the effect of only one boundary and the simultaneous effects of two boundaries (angular boundary) are taken into account.

MSC:

74E30 Composite and mixture properties
74B20 Nonlinear elasticity
74E05 Inhomogeneity in solid mechanics
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