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首页> 外文期刊>Journal of Heat Transfer >Thermal-Mechanical Fracture Analysis Considering Heat Flux Singularity
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Thermal-Mechanical Fracture Analysis Considering Heat Flux Singularity

机译：考虑热通量奇异性的热机械断裂分析

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摘要

Precise modeling of thermoelastic cracks remains challenging due to the fact that both heat flux and stress fields have singularity issue. In the previous studies, the first author proposed different types of symplectic analytical singular element (SASE) for thermal conduction and stress analysis of cracks. It has been demonstrated that these crack-tip elements of which the interior fields are defined by analytical solutions are highly accurate and efficient. However, the thermal mechanical coupling problem of crack cannot be treated with the existing SASEs. The main difficulty is that the analytical solution of the crack problem considering arbitrary temperature distribution is not available. Approximate solution may lead to significant numerical instabilities. Moreover, the construction of a crack-tip singular element for both thermal conduction and stress analysis is complicated and requires more efforts. In this study, the governing symplectic dual equation of thermoelastic crack is restudied. The analytical solution considering arbitrary temperature distribution is obtained in close form which, to the best of the authors' knowledge, has not been found before. Then, the finite element formulation of a new SASE for thermal-mechanical fracture analysis is derived analytically through a variational approach. A two-step analysis procedure is proposed to calculate the mixed mode thermal stress intensity factors (TSIFs)) and the analysis can be done on a fixed finite element mesh. Mesh refinement around the crack tip is unnecessary, and the mixed-mode TSIFs can be solved accurately without any postprocessing.
机译：由于热通量和应力场都具有奇异性这一事实，对热弹性裂纹的精确建模仍然具有挑战性。在先前的研究中，第一作者提出了不同类型的辛分析奇异元素（SASE）用于裂纹的热传导和应力分析。已经证明，这些内部分析场定义的裂纹尖端元素是高度准确和高效的。但是，现有的SASE无法解决裂纹的热机械耦合问题。主要困难在于没有考虑任意温度分布的裂纹问题的解析解。近似解可能导致明显的数值不稳定性。此外，用于热传导和应力分析的裂纹尖端奇异元件的构造很复杂，需要更多的努力。本文研究了热弹性裂纹的控制辛对偶方程。据作者所知，以任意形式获得的考虑任意温度分布的解析解都是以前从未发现过的。然后，通过变分方法解析性地导出了用于热机械断裂分析的新型SASE的有限元公式。提出了两步分析程序来计算混合模式热应力强度因子（TSIFs），并且可以在固定的有限元网格上进行分析。裂纹尖端周围的网格细化是不必要的，并且无需任何后处理即可精确求解混合模式TSIF。

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