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1 Institute of Mathematics and Computer Sciences, Czestochowa University of Technology

Abstract : In the modern civil engineering an important role play new materials like composites and laminates. In this paper the object of analysis is a behaviour of periodic, micro-laminated two-component elastic solids. The modelling question is how to describe both micro- and macro-response of linear elastic periodic laminate. In order to answer this question we propose a new model of the solid under consideration. In contrast to the higher-order homogenization model, 3,4, the model is based on some heuristic physical assumptions rather than on the formal asymptotic expansions. The main result is that under certain conditions the obtained model equations can be decomposed into equations describing behaviour of a laminate independently on a macro- and micro-level. This decomposition holds for the laminates with a weak transversal inhomogeneity which will be defined in the paper.





Author: Jolanta Szymczyk - Czeslaw Wozniak -

Source: https://hal.archives-ouvertes.fr/



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