Exact Solution to Elastic Behavior of Periodic Heat Generating Solid Cylinder

Exact Solution to Elastic Behavior of Periodic Heat Generating Solid Cylinder

The objective of this study is to develop analytical solution of thermally induced stress and deformation in a periodic heat generating solid cylinder. The cylinder is initially at zero temperature, but for times greater than zero, heat is generated and consumed internally at a time dependent rate. The solution of this complicated problem consists of two parts. In the first part, transient heat conduction equation is formulated and solved by the use of Duhamel's theorem. The second part on the other hand consisted of the formulation of governing elastic equation coupled with the temperature gradient. This equation is nothing but the thermoelastic equation of the cylinder. Analytical solution of the thermoelastic equation reveals the distributions of stress, strain and displacement within the cylinder at a given time instant. Two different periodic functions are handled to describe periodic heat generation in the cylinder. Although periodic, the second function eventually decays to zero

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Bibtex @ { politeknik368265, journal = {Politeknik Dergisi}, eissn = {2147-9429}, address = {Gazi Üniversitesi Teknoloji Fakültesi 06500 Teknikokullar - ANKARA}, publisher = {Gazi Üniversitesi}, year = {2016}, volume = {19}, number = {4}, pages = {421 - 426}, title = {Exact Solution to Elastic Behavior of Periodic Heat Generating Solid Cylinder}, key = {cite}, author = {Apatay, Tunç} }
APA Apatay, T. (2016). Exact Solution to Elastic Behavior of Periodic Heat Generating Solid Cylinder . Politeknik Dergisi , 19 (4) , 421-426 .
MLA Apatay, T. "Exact Solution to Elastic Behavior of Periodic Heat Generating Solid Cylinder" . Politeknik Dergisi 19 (2016 ): 421-426 <
Chicago Apatay, T. "Exact Solution to Elastic Behavior of Periodic Heat Generating Solid Cylinder". Politeknik Dergisi 19 (2016 ): 421-426
RIS TY - JOUR T1 - Exact Solution to Elastic Behavior of Periodic Heat Generating Solid Cylinder AU - Tunç Apatay Y1 - 2016 PY - 2016 N1 - DO - T2 - Politeknik Dergisi JF - Journal JO - JOR SP - 421 EP - 426 VL - 19 IS - 4 SN - -2147-9429 M3 - UR - Y2 - 2022 ER -
EndNote %0 Politeknik Dergisi Exact Solution to Elastic Behavior of Periodic Heat Generating Solid Cylinder %A Tunç Apatay %T Exact Solution to Elastic Behavior of Periodic Heat Generating Solid Cylinder %D 2016 %J Politeknik Dergisi %P -2147-9429 %V 19 %N 4 %R %U
ISNAD Apatay, Tunç . "Exact Solution to Elastic Behavior of Periodic Heat Generating Solid Cylinder". Politeknik Dergisi 19 / 4 (Aralık 2016): 421-426 .
AMA Apatay T. Exact Solution to Elastic Behavior of Periodic Heat Generating Solid Cylinder. Politeknik Dergisi. 2016; 19(4): 421-426.
Vancouver Apatay T. Exact Solution to Elastic Behavior of Periodic Heat Generating Solid Cylinder. Politeknik Dergisi. 2016; 19(4): 421-426.
IEEE T. Apatay , "Exact Solution to Elastic Behavior of Periodic Heat Generating Solid Cylinder", Politeknik Dergisi, c. 19, sayı. 4, ss. 421-426, Ara. 2016