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首页> 外文期刊>Journal of thermal stresses >Nonlinear thermoelastic deflection of temperature-dependent FGM curved shallow shell under nonlinear thermal loading
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Nonlinear thermoelastic deflection of temperature-dependent FGM curved shallow shell under nonlinear thermal loading

机译：温度依赖的FGM弯曲浅壳在非线性热载荷下的非线性热弹性挠度

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摘要

The geometrically nonlinear thermomechanical transverse deflection responses of the functionally graded curved structure under the influence of nonlinear thermal field are reported in this article. For the numerical analysis, a nonlinear mathematical model is derived using the higher-order shear deformation theory and Green-Lagrange nonlinear strains. The current model includes all of the nonlinear higher-order terms to achieve the true flexure of the structure under the combined action of loads. It is assumed that the panel structure is exposed to nonuniform temperature field combined with the transversely distributed mechanical load. Additionally, the properties of material constituents are assumed to vary with the nonuniform temperature load and corresponding properties are evaluated considering dependency and independence of temperature. Furthermore, the panel material grading has been obtained mathematically with the help of Voigt's micromechanical rule together with the power-law distribution. The system of equations is obtained using the variational principle and solved numerically using the finite element steps in association with the direct iterative method. The stability of the present numerical model has been established through the convergence test and compared with the benchmark results to show the validity. Finally, numerical experimentations have been carried out for different parameters and discussed in detail.
机译：本文报道了功能梯度曲面在非线性热场影响下的几何非线性热机械横向挠度响应。为了进行数值分析，使用高阶剪切变形理论和Green-Lagrange非线性应变导出了非线性数学模型。当前模型包括所有非线性高阶项，以在载荷组合作用下实现结构的真实挠曲。假定面板结构暴露于不均匀的温度场，并伴随着横向分布的机械载荷。另外，假设材料成分的特性随温度不均匀负载而变化，并且考虑温度的依赖性和独立性来评估相应的特性。此外，借助Voigt的微机械规则以及幂律分布，可以在数学上获得面板材料的等级。利用变分原理获得方程组，并结合直接迭代方法使用有限元步骤对其进行数值求解。通过收敛性测试建立了当前数值模型的稳定性，并与基准结果进行了比较，证明了其有效性。最后，对不同的参数进行了数值实验并进行了详细讨论。

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