Volume 42 Issue 6
Jun.  2021
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ZHU Mingming, LI Lianhe. Fracture Mechanics Analysis of Thermoelectric Materials With Equilateral Triangle Holes[J]. Applied Mathematics and Mechanics, 2021, 42(6): 656-664. doi: 10.21656/1000-0887.410232
Citation: ZHU Mingming, LI Lianhe. Fracture Mechanics Analysis of Thermoelectric Materials With Equilateral Triangle Holes[J]. Applied Mathematics and Mechanics, 2021, 42(6): 656-664. doi: 10.21656/1000-0887.410232

Fracture Mechanics Analysis of Thermoelectric Materials With Equilateral Triangle Holes

doi: 10.21656/1000-0887.410232


The National Natural Science Foundation of China(11962026

  • Received Date: 2020-08-05
  • Rev Recd Date: 2021-01-18
  • The fracture mechanics for thermoelectric materials with equilateral triangle holes subjected to uniform electric current densities and uniform energy fluxes at infinity was studied by means of the complex variable method. The analytic expressions of temperature fields and stress fields were obtained under the boundary conditions of electric insulation and thermal insulation. Effects of the triangle size, the applied electric current density and the energy flux on the thermoelectric material were analyzed. The results show that, the variations of the current density and the triangle size have obvious influences on the annular energy flux, the annular stress and the annular heat flux.
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