Conservation integrals for two circular holes kept at different temperatures in a thermoelastic solid

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:85-86

Article

Radi, E.¹  Morini, L.²  Sevostianov, I.³ 

[1] Univ Modena & Reggio Emilia, Dipartimento Sci & Metodi Ingn, Via Amendola 2, I-42122 Reggio Emilia, Italy

[2] Univ Trento, Dipartimento Ingn Civile Ambientale & Meccan, Via Mesiano 77, I-38123 Trento, Italy

[3] New Mexico State Univ, Dept Mech & Aerosp Engn, Las Cruces, NM 88001 USA

关键词: Thermo-elastic problem;    Circular holes;    Bipolar coordinates;    Path-independent integrals;    Steady temperature distribution;   

DOI  :  10.1016/j.ijsolstr.2016.01.013

来源: Elsevier

【 摘 要 】

An explicit analytic solution for thermal stresses in an infinite thermoelastic medium with two circular cylindrical holes of different sizes kept at different constant temperatures, under steady-state heat flux is presented. The solution is obtained by using the most general representation of a biharmonic function in bipolar coordinates. The stress field is decomposed into the sum of a particular stress field induced by the steady-state temperature distribution and an auxiliary isothermal stress field required to satisfy the boundary conditions on the holes. The variations of the stress concentration factor on the surface of the holes are determined for varying geometry of the holes. The concept of the conservation integrals J(k), M and L is extended to steady state thermoelasticity and the integrals are proved to be path-independent. These integrals are calculated on closed contours encircling one or both holes. The geometries of a hole in a half-space and an eccentric annular cylinder are considered as particular cases. (c) 2016 Elsevier Ltd. All rights reserved.

【 授权许可】

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