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On the theory of orthotropic porous elastic rods
Author(s) -
Bîrsan Mircea,
Altenbach Holm
Publication year - 2010
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201010064
Subject(s) - orthotropic material , rod , elasticity (physics) , porosity , materials science , homogeneous , orthonormal basis , mathematical analysis , mechanics , classical mechanics , composite material , mathematics , physics , thermodynamics , finite element method , medicine , alternative medicine , pathology , quantum mechanics
We employ the theory of elastic materials with voids to describe the mechanical behavior of porous rods. In this purpose, we consider the direct approach to the theory of rods, in which the thin body is modeled as a deformable curve with a triad of rigidly rotating orthonormal vectors attached to every material point. For orthotropic and homogeneous rods, we determine the constitutive coefficients in terms of the three‐dimensional elasticity constants by solving several problems in the two different approaches (directed curves and three‐dimensional rods). (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)