Surface Effects on Thermal Stresses Around the Nanohole in Thermoelectric Material

ZHAO Jieyan; YANG Haibing

doi:10.21656/1000-0887.440151

Volume 44 Issue 11

Nov. 2023

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ZHAO Jieyan, YANG Haibing. Surface Effects on Thermal Stresses Around the Nanohole in Thermoelectric Material[J]. Applied Mathematics and Mechanics, 2023, 44(11): 1311-1324. doi: 10.21656/1000-0887.440151

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Surface Effects on Thermal Stresses Around the Nanohole in Thermoelectric Material

doi: 10.21656/1000-0887.440151

ZHAO Jieyan^1
,,
YANG Haibing^{2
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1.
School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510641, P.R.China
2.
College of Mechanics and Materials, Hohai University, Nanjing 211100, P.R.China

Received Date: 2023-05-15
Rev Recd Date: 2023-06-15
Publish Date: 2023-11-01

Abstract

Abstract

Based on the complete Gurtin-Murdoch (G-M) low-order surface energy model, the surface effects at nanoscale were further explored. The transition from macroscale to microscale was achieved through construction of reasonable stress boundary conditions in view of the change of hole geometry configuration. With the series expansion techniques and complex variable methods, the semi-analytic solutions for the electric field, the temperature field, and the full stress field in the vicinity of the nanohole within the thermoelectric matrix were derived eventually with a built thermal-electrical-force theoretical framework model at nanoscale. Numerical results show that, compared with the complete G-M model, the simplified G-M model (neglecting the effects of nanohole geometry changes) would overestimate the surface effects and far-field thermoelectric loading effects on the thermal stress distributions. In addition, the surface effects can relieve the thermal stress concentration around the nanohole to some extent.
- thermoelectric material,
- complete Gurtin-Murdoch model,
- surface effect,
- complex function theory,
- nanohole

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References

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