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Homogénéisation d’un milieu incompressible viscoplastique de type Norton-Hoff périodiquement perforé. (Homogenization of an incompressible viscoplastic, Norton-Hoff type, periodically perforated medium). (French) Zbl 0625.73018
In this paper the author studies the macroscopic behaviour of an incompressible viscoplastic material. The medium is supposed of Norton- Hoff type and of a periodic structure of period $$\epsilon$$ Y with Y given by a rectangle of $$R^ n$$, with some holes strongly enclosed in Y. In the framework of homogenization theory the asymptotic behaviour is studied as $$\epsilon$$ goes to zero. In the limit, the law of a compressible viscoplastic material is obtained. The homogenized potential of dissipation is a convex and differentiable function; its differential satisfies the some kind of inequalities which are fulfilled by the differential of the microscopic potential.
Reviewer: M.Codegone

##### MSC:
 74E05 Inhomogeneity in solid mechanics 35B40 Asymptotic behavior of solutions to PDEs 74R20 Anelastic fracture and damage