Spatial problems of stability theory of stratified,compressible, composite materials

We consider spatial, non-axially-symmetric problems of stability theory of stratified, compressible, composite materials for biaxial uniform compression with the use of three-dimensional, linearized stability theory of deformed bodies. It is shown in general form for arbitrary models of compressible elastic and elastoplastic bodies that the characteristic equation corresponding to spatial non-axially-symmetric problems reduces to the characteristic equation corresponding to planar problems of single-axis compression. In this context all numerical results obtained earlier for the planar problems mentioned are also equally valid for spatial, non-axially-symmetric problems with the corresponding notations for the wave formation parameters.Translated from Teoreticheskaya i Prikladnaya Mekhanika, No. 19, pp. 24–32, 1988.