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Thermal Stresses in a Heat‐generating Cylinder Containing a Polygonal Hole
Author(s) -
Takeuti Y.,
Noda N.
Publication year - 1970
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19700501003
Subject(s) - cylinder , traction (geology) , work (physics) , thermal , boundary (topology) , boundary value problem , mechanics , materials science , heat flux , geometry , mathematics , thermodynamics , heat transfer , mathematical analysis , mechanical engineering , physics , engineering
The present work is concerned with the steady state two‐dimensional thermal stress problems in a thick circular cylinder having a polygonal hole under an uniform heat generation having thermally insulated outer boundary. In the present problems, the analysis is carried out by using the complex variable approach proposed by Gatewood . Thus, we may show that the present method yields reliable solution at the inner boundary, because of the sufficient satisfaction of the temperature and traction boundary conditions at the inner boundary.