Abstract 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.

中文翻译：

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考虑温度相关材料特性的空心球体的弹性/塑料解决方案受到热机械载荷

摘要 给出了受热机械载荷作用的弹塑性球体的半解析解。材料特性取决于温度。该解决方案适用于任何与各向同性压力无关的屈服准则。尽管弹性和塑性区域的一般解相当简单，但边界值的解却很麻烦。通过使用无量纲温度作为自变量而不是径向坐标来促进求解。假设内半径处的压力和温度缓慢增加，而外半径处的压力和温度保持恒定，则对边界值问题的解进行了详细分析。特别强调了解决方案的定性特征。