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首页> 外文期刊>Journal of thermal stresses >Investigation of the thermal-elastic problem in cracked semi-infinite FGM under thermal shock using hyperbolic heat conduction theory
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Investigation of the thermal-elastic problem in cracked semi-infinite FGM under thermal shock using hyperbolic heat conduction theory

机译：基于双曲热传导理论的裂纹半无限FGM在热冲击下的热弹性问题研究

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摘要

In this paper, a thermoelastic analytical model is established for a functionally graded half-plane containing a crack under a thermal shock in the framework of hyperbolic heat conduction theory. The moduli of functionally graded materials (FGMs) are assumed to vary exponentially with the coordinates. By employing the Fourier transform and Laplace transform, coupled with singular integral equations, the governing partial differential equations under mixed, thermo-mechanical boundary conditions are solved numerically. For both the temperature distribution and transient stress intensity factors (SIFs) in FGMs, the results of hyperbolic heat conduction model are significantly different than those of Fourier's Law, which should be considered carefully in designing FGMs.
机译：在双曲热传导理论的框架下，建立了包含热裂纹的功能梯度半平面的热弹性分析模型。假定功能梯度材料（FGM）的模量随坐标呈指数变化。通过使用傅立叶变换和拉普拉斯变换，并结合奇异积分方程，数值求解了混合热机械边界条件下的控制偏微分方程。对于FGM中的温度分布和瞬态应力强度因子（SIF），双曲线热传导模型的结果与傅立叶定律的结果显着不同，在设计FGM时应仔细考虑。

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