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Effect of heat conduction of penny-shaped crack interior on thermal stress intensity factors

机译：细小形裂纹内部热传导对热应力强度因子的影响

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摘要

This paper analyzes the thermal stress induced by a penny-shaped crack in an elastic solid with uniform steady heat flux. Air inside an opening crack is taken as a thermally conducting medium and the crack is partially insulated. The Hartkel transform technique is applied to convert the problem to a system of dual integral equations. Heat flux in the opening crack or temperature gradient across the crack depends on the crack opening displacement. Explicit expressions for the whole temperature change field and heat flux at any position in the cracked medium are given in terms of elementary functions. Thermal stresses and displacements are presented for a solid with a partially insulated crack under remote tensile loading and uniform heat flux. Stress intensity factors (SIFs) are determined. The mode-Ⅰ SIFs depend only on external tensile loading, and are free of the material properties. The mode-Ⅱ SIFs are related to both mechanical and thermal loading, in addition to the material properties. Numerical results for a cracked thermoelastic material are presented to show the influence of the thermal conductivity of air of the crack interior on the mode-Ⅱ SIFs, and indicate that heat conduction of crack affects thermal SIFs. Insulated and isothermal cracks are two limiting cases of a partially insulated crack.
机译：本文分析了均匀稳定热通量的弹性固体中的细小裂纹引起的热应力。开口裂缝内部的空气被视为导热介质，并且裂缝被部分绝缘。应用Hartkel变换技术将问题转换为对偶积分方程组。开裂裂缝中的热通量或跨裂缝的温度梯度取决于裂缝的开裂位移。根据基本函数给出了整个温度变化场和裂化介质中任何位置的热通量的明确表达式。给出了在远距离拉伸载荷和均匀热通量下具有部分绝缘裂纹的固体的热应力和位移。确定应力强度因子（SIF）。 Ⅰ型SIF仅取决于外部拉伸载荷，并且没有材料特性。 Ⅱ型SIF除了材料特性外，还与机械载荷和热载荷有关。给出了裂纹热弹性材料的数值结果，以显示裂纹内部空气的热导率对Ⅱ型SIF的影响，并表明裂纹的热传导会影响热SIF。绝缘裂纹和等温裂纹是部分绝缘裂纹的两个局限性情况。

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