Applied Mathematics and Mechanics (English Edition) ›› 2018, Vol. 39 ›› Issue (10): 1477-1484.doi: https://doi.org/10.1007/s10483-018-2379-8

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Fracture mechanics analysis of delamination in a thermoelectric pn-junction sandwiched by an insulating layer

Youjiang CUI, Kaifa WANG, Baoling WANG   

  1. School of Science, Harbin Institute of Technology, Shenzhen 518055, Guangdong Province, China
  • 收稿日期:2018-01-22 修回日期:2018-05-30 出版日期:2018-10-01 发布日期:2018-10-01
  • 通讯作者: Baoling WANG E-mail:wangbl2001@hotmail.com
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Nos. 11672084, 11602072, and 11372086), the Natural Science Foundation of Guangdong Province of China (Nos. 2016A030311006 and 2016A030310367), and the Research Innovation Fund of Shenzhen City of China (Nos. JCYJ20170413104256729 and JCYJ20170811160538023)

Fracture mechanics analysis of delamination in a thermoelectric pn-junction sandwiched by an insulating layer

Youjiang CUI, Kaifa WANG, Baoling WANG   

  1. School of Science, Harbin Institute of Technology, Shenzhen 518055, Guangdong Province, China
  • Received:2018-01-22 Revised:2018-05-30 Online:2018-10-01 Published:2018-10-01
  • Contact: Baoling WANG E-mail:wangbl2001@hotmail.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Nos. 11672084, 11602072, and 11372086), the Natural Science Foundation of Guangdong Province of China (Nos. 2016A030311006 and 2016A030310367), and the Research Innovation Fund of Shenzhen City of China (Nos. JCYJ20170413104256729 and JCYJ20170811160538023)

摘要: A fracture mechanics analysis is conducted for a delamination problem of a multilayered thermoelectric material (TEM) that consists of an n-type layer and a p-type layer sandwiched by an insulating layer. A time-varying energy release rate is presented when the n-type layer delaminates from the insulating layer. Effects of the temperature difference across the system and the applied electric current on the energy release rate are identified. The influence of the thickness ratio of the insulating layer to the thermoelectric (TE) layer is also examined. Based on the energy release rate criterion, the critical temperature difference for delamination propagation is obtained. Some useful conclusions are given.

关键词: downstream, eigenvalue problem, Couette-Poiseuille flow, thermoelectric material (TEM), energy release rate, delamination

Abstract: A fracture mechanics analysis is conducted for a delamination problem of a multilayered thermoelectric material (TEM) that consists of an n-type layer and a p-type layer sandwiched by an insulating layer. A time-varying energy release rate is presented when the n-type layer delaminates from the insulating layer. Effects of the temperature difference across the system and the applied electric current on the energy release rate are identified. The influence of the thickness ratio of the insulating layer to the thermoelectric (TE) layer is also examined. Based on the energy release rate criterion, the critical temperature difference for delamination propagation is obtained. Some useful conclusions are given.

Key words: downstream, eigenvalue problem, Couette-Poiseuille flow, thermoelectric material (TEM), delamination, energy release rate

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