A continuum model of layered media with frictional interfaces is suggested. The model has been build as a variant of the non-symmetric theory of elasticity. The new media parameters related to the non-symmetric and moment stresses are expressed in terms of elastic and geometric parameters of the original media. The wave propagation in the model medium is considered. The considered examples show the applicability of the model. The comparison with the existing models has been made. It has been shown that the suggested model may be reduced to model  if the friction between the adjusted layers is small.
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