Electric and Heat Conductions Across a Crack in a Thermoelectric Material
Electric and Heat Conductions Across a Crack in a Thermoelectric Material
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DOI：
10.1515/jtam-2016-0006
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发表时间：
2016-03
影响因子：
0.7
通讯作者：
Hao Song;K. Song
中科院分区：
文献类型：
--
作者：
Hao Song;K. Song
摘要 本文研究了热电材料的裂纹问题。讨论了两种裂纹表面条件。基于复变量方法导出了封闭形式的解。详细讨论了场强因子以及转换效率。结果表明，工况1裂纹尖端电流密度和热流密度表现出传统的平方根奇点，而工况2裂纹尖端电流密度不存在奇点。证明由于电流流动和热流分离，热电转换效率可以高于相同温度条件下一维热电的最大转换效率。在数值示例中，与一维热电的最大转换效率相比，转换效率提高了29.6%。
Abstract The crack problem in a thermoelectric material is studied in this paper. Two kinds of crack surface conditions are discussed. The closed form solutions are derived, based on the complex variable method. The field intensity factors as well as the conversion efficiency are discussed in detail. The results show that the electric current density and thermal flux density exhibit traditional square-root singularity at the crack tip in case 1, while the electric current density has no singularity at the crack tip in case 2. It is proved due to the electric current flow and thermal flux separation, that the thermoelectric conversion efficiency can be higher than the maximum conversion efficiency of one-dimensional thermoelec- tric under the same temperature condition. In the numerical example, the conversion efficiency is increased by 29.6% as compared to the maximum conversion efficiency of one-dimensional thermoelectric.