2016-01-01
An attempt is made to develop an analytical model for the prediction of thermal loading into a partially plastic state and unloading into an elastic state of a cylinder subjected to periodic boundary condition. The uncoupled theory of thermoelasticity is used as the cylinder is heated or cooled slowly. Transient temperature distribution in the cylinder is obtained by the use of Duhamel's theorem. It is assumed that the ends of the cylinder are free and hence a state of generalized plane strain is operative in the axial direction. An elastic and two plastic regions with different mathematical forms of Tresca's yield condition are formulated and solved analytically. Linearly hardening material behavior is assumed. Sudden unloading approximation is used to model unloading into a plastically predeformed elastic region. The model is verified in comparison to a purely numerical solution and by observing satisfaction of equilibrium, interface, and boundary conditions in every stage of deformation.
JOURNAL OF THERMAL STRESSES

# Suggestions

 Environmental effects on the geometric phase GÜNHAN, ALİ CAN; Turgut, Sadi; PAK, NAMIK KEMAL (2011-09-01) The behavior of the geometric phase gained by a single spin-1/2 nucleus immersed into a thermal or a squeezed environment is investigated. Both the time dependence of the phase and its value at infinity are examined against several physical parameters. It is observed that for some intermediate ranges of the temperature and the coupling strength, the presence of squeezing enhances the geometric phase.
 Analysis of stress in the elastic state in a solid cylinder subjected to periodic boundary condition Yedekçi, Buşra; Eraslan, Ahmet Nedim; Department of Engineering Sciences (2015) An analytical model is developed to investigate the thermoelastic response of a solid cylinder subjected to periodic boundary condition. Time dependent periodic boundary condition for the solid cylinder is treated by the help of Duhamel's theorem. The corresponding thermoelastic equation is obtained in terms of radial displacement by using basic equations of elasticity under generalized plane strain presupposition. Analytical solution of the thermoelastic equation is obtained to determine the distributions ...
 Experimental investigation and 3D finite element prediction of the white layer thickness, heat affected zone, and surface roughness in EDM process Shabgard, Mohammadreza; Oliaei, Samad Nadimi Bavil; Seyedzavvar, Mirsadegh; Najadebrahimi, Ahmad (2011-12-01) An axisymmetric three-dimensional model or temperature distribution in the electrical discharge machining process has been developed using the finite element method to estimate the surface integrity characteristics of AISI H13 tool steel as workpiece. White layer thickness, depth of heat affected zone, and arithmetical mean roughness consisting of the studied surface integrity features on which the effect of process parameters, including pulse on-time and pulse current were investigated. Additionally, the e...
 Thermal loading and unloading of a solid cylinder subjected to periodic internal energy cycling Eraslan, Ahmet Nedim (2017-03-01) An analytical model is developed to estimate partially plastic loading and unloading behavior of a transient internal energy cycling solid cylinder. The cylinder is initially at zero temperature, but for times greater than zero, heat is generated or consumed internally at a time dependent rate. The transient temperature distribution in the cylinder is obtained by using Duhamel's theorem. As the cylinder is heated or cooled slowly the uncoupled theory of thermal stress is used. Under these circumstances elas...
 Analysis of reconstruction performance of magnetic resonance conductivity tensor imaging (MRCTI) using simulated measurements DEĞİRMENCİ, EVREN; Eyüboğlu, Behçet Murat (2017-01-01) Magnetic resonance conductivity tensor imaging (MRCTI) was proposed recently to produce electrical conductivity images of anisotropic tissues. Similar to magnetic resonance electrical impedance tomography (MREIT), MRCTI uses magnetic field and boundary potential measurements obtained utilizing magnetic resonance imaging techniques. MRCTI reconstructs tensor images of anisotropic conductivity whereas MREIT reconstructs isotropic conductivity images. In this study, spatial resolution and linearity of five rec...
Citation Formats
A. N. Eraslan, “Analytical solution to thermal loading and unloading of a cylinder subjected to periodic surface heating,” JOURNAL OF THERMAL STRESSES, pp. 928–941, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41261.