Thermal Stresses in a Confocal Hollow Elliptical Cylinder Based on Micropolar Thermoelasticity

Autor:	Yasunori Tani, Yoshihiro Sugano, Hirosi Yano
Rok vydání:	1992
Předmět:	Materials science Mechanical Engineering Boundary (topology) Mechanics Stress functions Rotation Physics::Fluid Dynamics Thermoelastic damping Classical mechanics Mechanics of Materials Thermal Relaxation (physics) Cylinder General Materials Science Elliptic coordinate system
Zdroj:	TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A. 58:1395-1402
ISSN:	1884-8338 0387-5008
DOI:	10.1299/kikaia.58.1395
Popis:	An analytical solution is presented for a micropolar plane-strain thermoelastic problem in a confocal hollow elliptical cylinder subjected to symmetric heating with respect to the x and y axes on the outer elliptical boundary. The problem is formulated in elliptical coordinates based on micropolar theory for an elastic solid initiated by Eringen and Suhubi, and on the extension to a thermoelastic solid with stress functions by Nowacki. The formulation includes an assurance of the single-valuedness of the rotation component in the confocal hollow elliptical cylinder of a micropolar elastic solid by Michell's condition expressed in elliptical coordinates. In order to demonstrate the effect of couple stress upon the relaxation of thermal-stress concentration in the vicinity of an elliptical hole in the cylinder, numerical illustration of the proposed theory is given for three cases of aspect ratios of the elliptical hole and various values of the new material constants of Eringen's micropolar elastic solid.
Databáze:	OpenAIRE
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