4.3 Article

ON THE THERMAL STRESSES IN ANISOTROPIC POROUS CYLINDERS

Journal

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
Volume 6, Issue 6, Pages 1539-1550

Publisher

AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcdss.2013.6.1539

Keywords

Porous cylinders; semi-inverse solution; generalized plane strain problems; relaxed Saint-Venant's problem; anisotropic material; thermal effects

Funding

  1. CNCSIS-UEFISCSU [86/30.07.2010]

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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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