A rigid inclusion in an elastic space under the action of a uniform heat flow in the inclusion plane

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:50

Article

Kaczynski, A.¹  Monastyrskyy, B.² 

[1] Warsaw Univ Technol, Fac Math & Informat Sci, PL-00662 Warsaw, Poland

[2] Pidstryhach Inst Appl Problems Mech & Math NASU, UA-79060 Lvov, Ukraine

关键词: Three-dimensional;    Heat flow;    Rigid inclusion;    Thermal stress;    Potential theory method;    Stress singularity;   

DOI  :  10.1016/j.ijsolstr.2013.04.012

来源: Elsevier

【 摘 要 】

A solution is presented for the three dimensional static thermoelastic problem of an absolutely rigid inclusion (anticrack) in the case when a uniform heat flow is directed along the inclusion plane. By using the potential method and the Fourier transform technique, the problem is reduced to a system of coupled two-dimensional singular integral equations for the shear stress jumps across the inclusion. As an illustration, a typical application to the circular anticrack is presented. Explicit expressions for the thermal stresses in the inclusion plane are obtained and discussed from the point of view of material failure. (C) 2013 Elsevier Ltd. All rights reserved.

【 授权许可】

Free