Thermoplastic response of a linearly hardening cylinder subjected to nonuniform heat source and convective boundary condition

Date

2004-05-01

Author

Eraslan, Ahmet Nedim

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An analytical model based on Tresca's yield criterion and its L associated flow rule is developed to analyze the thermoelastoplastic response of a linearly hardening cylinder subjected to a nonuniform heat source and convective heat transfer condition at the external boundary. Closed form solutions are obtained for a state of generalized plane strain in different stages of elastic-plastic deformation. Considering a cylinder that is constrained axially, the plastic deformation commences at the axis and depending on the convective boundary condition, another plastic region may develop at the surface before the fully plastic state is reached. A calculation procedure is developed to determine the critical values of the heat-transfer coefficient, for which a third plastic region at the surface does not occur. The effect of various parameters on the critical heat-transfer coefficient is investigated. The residual stresses attained upon unloading are also determined and it is shown that the primary and secondary stresses fall within the shakedown regime.

Subject Keywords

Mechanical Engineering, Mechanics of Materials, Ocean Engineering, General Mathematics, Civil and Structural Engineering, Condensed Matter Physics, Automotive Engineering, Aerospace Engineering

URI

https://hdl.handle.net/11511/47729

Journal

MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES

DOI

https://doi.org/10.1081/sme-120030554

Collections

Department of Engineering Sciences, Article

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Citation Formats

A. N. Eraslan, “Thermoplastic response of a linearly hardening cylinder subjected to nonuniform heat source and convective boundary condition,” MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES, pp. 133–164, 2004, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47729.