Research Information System
Journal of Applied Mathematics and Mechanics, vol.52, no.2, pp.207-210, 1988 (Scopus)
The example of the torsion problem is used to show that, in a radially inhomogeneous cylinder with alternating hard and soft layers, weakly damped boundary layer solutions exist. The corresponding elementary solutions can penetrate quite deeply and essentially change the picture of the directionally deformed state remote from the end-faces. This in fact leads to violation of St. Venant's principle and of its classical statement. On the basis of an asymptotic analysis of the three-dimensional problem, a practical torsion theory is proposed, which adequately takes account of the singularities that arise. It was shown earlier /1/ that weakly damped boundary layer solutions exist for plates with alternating hard soft layers. © 1989.