engleski

On Hashin-Shtrikman bounds for mixtures of two isotropic materials

We calculate explicitly optimal microstructure for Hashin-Shtrikman energy bounds for three dimensional mixtures of two isotropic phases with prescribed ratio. This is done in a more general setting which has important applications in studying optimal design problems with multiple state equations for stationary diffusion. More precisely, the necessary condition of optimality leads to finite dimensional optimisation problem which extends problem of Hashin-Shtrikman bounds. Explicit formula for its optimal point has important applications in optimality criteria method for numerical solution of optimal design problem.

Hashin-Shtrikman bounds; stationary diffusion

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