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Thermal stress
around an arbitrary shaped nanohole with surface elasticity
in a thermoelectric material
Kun Song, Hao-Peng Song, Peter Schiavone and Cun-Fa Gao |
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Vol. 14 (2019), No. 4, 587–599
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Abstract |
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In response to the significance of the role of surface mechanics in continuum models of deformation at the nanoscale, we consider the thermal stress distribution in the vicinity of an arbitrarily shaped nanohole in a thermoelectric material by incorporating the contribution of surface elasticity. Accordingly, we develop specific solutions describing the corresponding electric, temperature and elastic fields in the material. Our results indicate that the contribution of surface elasticity is to generate considerable normal and shear stress and to significantly influence hoop stress on the boundary of the nanohole. By controlling the electric current applied to the material, the normal and shear stresses induced by surface elasticity can be enhanced or decreased for various shaped nanoholes. It is also worth noting that the incorporation of surface elasticity allows for the ability to suppress the maximum value of the von Mises stress on the boundary of an arbitrarily shaped nanohole, particularly in the case of a triangular-shaped hole in which case the maximum von Mises stress can be suppressed by up to 35% thereby dramatically improving the reliability of the corresponding thermoelectric device. Our investigations provide an important theoretical basis for the design and manufacture of thermoelectric materials. |
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Keywords
thermoelectric material, thermal stress, arbitrarily shaped
hole, surface elasticity
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Milestones
Received: 5 August 2019
Accepted: 9 September 2019
Published: 13 December 2019
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Authors |
| Kun Song | |
| State Key Laboratory of Mechanics
and Control of Mechanical Structures Nanjing University of Aeronautics and Astronautics Nanjing, 210016 China |
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| Hao-Peng Song | |
| Department of Software
Engineering Nanjing University of Aeronautics and Astronautics Nanjing, 210016 China |
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| Peter Schiavone | |
| Department of Mechanical
Engineering University of Alberta 10-203 Donadeo Innovation Center for Engineering 9211-116 Street NW Edmonton AB T6G 1H9 Canada |
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| Cun-Fa Gao | |
| State Key Laboratory of Mechanics
and Control of Mechanical Structures Nanjing University of Aeronautics and Astronautics Nanjing, 210016 China |
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