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首页> 外文期刊>Journal of thermal stresses >Effect of uniform heat flux on stress distribution around a triangular hole in anisotropic infinite plates
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Effect of uniform heat flux on stress distribution around a triangular hole in anisotropic infinite plates

机译：均匀热通量对各向异性无限板中三角形孔周围应力分布的影响

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摘要

The presence of a hole in an anisotropic plate under uniform heat flux causes thermal stress around the hole. In this study, on the basis of two-dimensional thermoelastic theory and using Lekhnitskii's complex variable technique, the stress analysis of an anisotropic infinite plate with a circular hole under a uniform heat flux is developed to the plate containing a triangular hole. For this purpose, an infinite plate containing a triangular hole is mapped to the outside of a unit circle using a conformal mapping function. Stress and displacement distributions around the triangular holes in an anisotropic infinite plate are investigated in thermal steady-state condition. The plate is under uniform heat flux at infinity and Neumann boundary conditions and thermal-insulated condition on the hole boundary are considered. The rotation angle of the hole, fiber angle, the angle of heat flux, bluntness, and the aspect ratio of hole size are investigated in the present study. The accuracy of the analytical results is also confirmed by finite element analysis.
机译：在均匀的热通量下各向异性板中存在孔会引起孔周围的热应力。在这项研究中，基于二维热弹性理论并使用Lekhnitskii的复变量技术，将具有均匀热通量的带有圆孔的各向异性无限板发展为包含三角形孔的板。为此，使用保形映射功能将包含三角形孔的无限板映射到单位圆的外部。在热稳态条件下研究了各向异性无限板中三角形孔周围的应力和位移分布。板在无限大和诺伊曼边界条件下处于均匀的热通量下，并且在孔边界处考虑了绝热条件。在本研究中研究了孔的旋转角度，纤维角度，热通量角度，钝角和孔尺寸的长宽比。分析结果的准确性也通过有限元分析得到证实。

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