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On the deformation of transversely isotropic porous elastic circular cylinder

Ghiba I.-D.

Archives of Mechanics

2009

Vol. 61, nr 5

407-421

In this paper we study the deformation of right circular cylinders filled by a linear transversely isotropic porous material. We construct a solution of the relaxed Saint-Venant's problem using the results established for anisotropic porous cylinders. Firstly, we decompose the relaxed Saint-Venant's problem into two problems: extension-bending-torsion problem and flexure problem. Then, for each of them we give the exact expressions of the solutions.

Spatial estimates concerning the harmonic vibrations in rectangular plates with voids

Ghiba I.-D.

Archives of Mechanics

2008

Vol. 60, nr 3

263-279

This paper studies the spatial behaviour of the amplitude of a harmonic vibration in a rectangular plate of Mindlin type, made of a homogeneous and isotropic elastic material with voids. Provided the frequency of vibration is lower than the critical value, some appropriate measures are introduced relating the amplitude of resulting harmonic vibration, and the corresponding first-order differential inequalities are established under mild conditions on the elastic coefficients. The case of a semi-infinite plate is also studied and some Phragmén-Lindelöf alternatives are established.