An elastic/plastic solution for a hollow sphere subject to thermo-mechanical loading considering temperature dependent material properties

A semi-analytical solution for an elastic/plastic sphere subject to thermo-mechanical loading is given. Material properties are temperature dependent. The solution is valid for any isotropic pressure-independent yield criterion. Even though the general solution in both elastic and plastic regions is...

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Bibliographic Details
Published inInternational journal of solids and structures Vol. 200-201; pp. 23 - 33
Main Authors Alexandrov, Sergei, Jeng, Yeau-Ren
Format Journal Article
LanguageEnglish
Published New York Elsevier Ltd 01.09.2020
Elsevier BV
Subjects
Boundary value problems
Exact solutions
Independent variables
Material properties
Mathematical analysis
Temperature dependence
Yield criteria
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Summary:A semi-analytical solution for an elastic/plastic sphere subject to thermo-mechanical loading is given. Material properties are temperature dependent. The solution is valid for any isotropic pressure-independent yield criterion. Even though the general solution in both elastic and plastic regions is rather simple, the solution of the boundary value is cumbersome. The solution is facilitated by using the dimensionless temperature as an independent variable instead of the radial coordinate. A detailed analysis of the solution of the boundary value problem is provided assuming that the pressure and temperature at the inner radius slowly increase whereas the pressure and temperature at the outer radius are kept constant. In particular, qualitative features of the solution are emphasized. Some of these features are useful for the design of spherical vessels subject to thermos-mechanical loading.
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content type line 14
ISSN:0020-7683
1879-2146
DOI:10.1016/j.ijsolstr.2020.03.027