Abstract. The theory of approximation of the microstructures associated with the orthorhombic to monoclinic and cubic to tetragonal transformations is presented. The error estimates derived in this paper show that macroscopic discrete quantities cannot converge faster then O ( p h) in order to allow for the unlimited oscillations to develop. The Discrete Uncertainty Principle is proven. It indicates that we cannot approximate macroscopic and microscopic properties of the laminated microstructures with an unlimited precision at the same time. 1
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