On the thermal stresses in anisotropic      porous cylinders

Emilian Bulgariu; Ionel-Dumitrel Ghiba

doi:10.3934/dcdss.2013.6.1539

Article Contents

2013, Volume 6, Issue 6: 1539-1550. Doi: 10.3934/dcdss.2013.6.1539

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On the thermal stresses in anisotropic porous cylinders

Emilian Bulgariu^1, and
Ionel-Dumitrel Ghiba^1,

1.
"Al.I. Cuza" University of Iaşi, Department of Mathematics, Blvd. Carol I, no. 11, 700506 Iaşi

Received: June 2012

Revised: September 2012

Published: December 2013

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Abstract

In this paper we study the deformation of right porous cylinders subjected to a prescribed thermal field. We assume that the cylinder is filled by an inhomogeneous anisotropic porous material. In the first part of the paper we study the problem of extension-bending-torsion, when the thermal field is independent of the axial coordinate and then we study the problem of extension-bending-torsion-flexure when the thermal field is considered linear in the axial coordinate. The considered problems are reduced to some generalized plane strain problems in the cross-section of the cylinder. Our analysis shows how the considered thermal fields influence the deformation of the porous cylinders.

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Mathematics Subject Classification: 74F05, 74E10, 74E05, 74G05, 35Q80.

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