caa a22 4500 44581201X CHVBK 20180317145214.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s00419-010-0490-z doi (NATIONALLICENCE)springer-10.1007/s00419-010-0490-z Theory of thin thermoelastic rods made of porous materials [Elektronische Daten] [Mircea Bîrsan, Holm Altenbach] In this paper, we consider thin rods modeled by the direct approach, in which the rod-like body is regarded as a one-dimensional continuum (i.e., a deformable curve) with a triad of rigidly rotating orthonormal vectors attached to each material point. In this context, we present a model for porous thermoelastic curved rods, having natural twisting and arbitrary shape of cross-section. To describe the porosity, we employ the theory of elastic materials with voids. The basic laws of thermodynamics are applied directly to the one-dimensional continuum, and the nonlinear governing equations are established. We formulate the constitutive equations and determine the structure of constitutive tensors. We prove the uniqueness of solution to the boundary-initial-value problem associated with the deformation of porous thermoelastic rods in the framework of linear theory. Then, we show the decoupling of the bending-shear and extension-torsion problems for straight porous rods. Using a comparison with three-dimensional equations, we identify and give interpretations to the relevant fields introduced in the direct approach. Finally, we consider the case of orthotropic materials and determine the constitutive coefficients for deformable curves in terms of three-dimensional constitutive constants by means of comparison between simple solutions obtained in the two approaches for porous thermoelastic rods. Springer-Verlag, 2010 Theory of rods nationallicence Thermoelasticity nationallicence Materials with pores nationallicence Uniqueness of solution nationallicence Orthotropic behavior nationallicence Effective stiffness nationallicence Bîrsan Mircea Department of Mathematics, University "A.I. Cuza” of Iaşi, Iasi, Romania aut Altenbach Holm Department of Engineering Sciences, Martin-Luther University, Halle (Saale), Germany aut Archive of Applied Mechanics Springer-Verlag 81/10(2011-10-01), 1365-1391 0939-1533 81:10<1365 2011 81 419 https://doi.org/10.1007/s00419-010-0490-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-010-0490-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bîrsan Mircea Department of Mathematics, University "A.I. Cuza” of Iaşi, Iasi, Romania aut NATIONALLICENCE 700 1- Altenbach Holm Department of Engineering Sciences, Martin-Luther University, Halle (Saale), Germany aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 81/10(2011-10-01), 1365-1391 0939-1533 81:10<1365 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer