| Abstract: | An asymptotic analysis of the dynamic stress-strain state of a thin laminar packet of anisotropic layers is presented. The
statement is nonclassical, since in layer materials the ratio of elastic moduli in the longitudinal and transverse directions
can generate small parameters comparable to the relative half-thickness of the packet, as, for example, in high-strength unidirectional
composites. Alternation of strong load-carrying layers and a relatively soft filler with a similar difference in the elastic
moduli between the layers is also allowed. The averaged two-dimensional equations and the total stress tensor in the layers
are determined. The results are classified with respect to the types of anisotropy and the indices of differences in the elastic
moduli. It is shown that first-approximation models lead to kinematic relations similar to those of the theories of high-order
shear strains.
Institute of Problems of Mechanics, Russian Academy of Sciences, Moscow, Russia. Translated from Mekhanika Kompozitnykh Materialov,
Vol. 35, No. 5, pp. 605–614, September–October, 1999. |
