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Let the 1-2-lamellation consisting of stable isotropic layers, The'generating plane be the plane of the layers. The elastic constants of the equations' translate the conditions of stability for isotropic compound medium can be related to those of the constituents media into constraints the media that can be generated with by a simple comparison of coefficients in expressions of elastic such constituents. If such generation is possible at all, the simplest functions provided one uses stress-and strain components representation can be determined from observable quantities that are the same in aN layers (and thus also in the compound depending on anisotropy (velocity ratios, directions of medium), namely polarization, etc.), e.g. by using nomograms. INTRODUCTION Transverse isotropy due to lamellation has already an established In principle, any elastic function can be used for this purpose, history. The syubject has fit heen discussed very elegantly but in order to yield the five elasti constantsof the compound by Bruggeman (1937). Riznichenko (1948,1949) was medium there must be five terms in the expression. The elastic aware of Bntggeman's solution, but distrusted the fancy potential @ oii& 2 can be expressed in only four terms and abstractions. His approach is a srraighrforward application of thus is not suitable. However, Y 0-033%3 is suitable: continuity of stress andstrain (Figure 1).