Electrically permeable and thermally insulated collinear cracks in thermoelectric materials

We present a rigorous treatment to the plane problem of a thermoelectric medium with collinear cracks subjected to remote uniform thermal–electric loads based on the complex variable method. First, the general solutions for potential functions of thermoelectric fields and stress fields are derived b...

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Vydáno v:Acta mechanica Ročník 230; číslo 4; s. 1275 - 1288
Hlavní autoři: Yu, Chuanbin, Li, Jiangyu, Song, Haopeng, Gao, Cunfa
Médium: Journal Article
Jazyk:angličtina
Vydáno: Vienna Springer Vienna 01.04.2019
Springer Nature B.V
Témata:
Classical and Continuum Physics
Complex variables
Control
Crack tips
Cracks
Dynamical Systems
Electric flux
Engineering
Engineering Thermodynamics
Fracture mechanics
Heat and Mass Transfer
Heat transmission
Mathematical models
Original Paper
Permeability
Solid Mechanics
Stress distribution
Stress intensity factors
Theoretical and Applied Mechanics
Thermoelectric materials
Vibration
ISSN:0001-5970, 1619-6937
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Abstract We present a rigorous treatment to the plane problem of a thermoelectric medium with collinear cracks subjected to remote uniform thermal–electric loads based on the complex variable method. First, the general solutions for potential functions of thermoelectric fields and stress fields are derived by using the electrically permeable and thermally insulated crack model. Then, for special cases of one crack and two symmetric cracks, more explicit solutions are given for potential functions and intensity factor of stresses. Finally, numerical results are presented to discuss the effects of applied electric loading on the fracture behavior of thermoelectric media. It is found that the fields of electric flux possess no singularity in the vicinity of the cracks, whereas the thermal flux and stresses exhibit the traditional square-root singularity at the crack tips. In addition, the remote electric current only produces a mode I stress intensity factor.
AbstractList We present a rigorous treatment to the plane problem of a thermoelectric medium with collinear cracks subjected to remote uniform thermal–electric loads based on the complex variable method. First, the general solutions for potential functions of thermoelectric fields and stress fields are derived by using the electrically permeable and thermally insulated crack model. Then, for special cases of one crack and two symmetric cracks, more explicit solutions are given for potential functions and intensity factor of stresses. Finally, numerical results are presented to discuss the effects of applied electric loading on the fracture behavior of thermoelectric media. It is found that the fields of electric flux possess no singularity in the vicinity of the cracks, whereas the thermal flux and stresses exhibit the traditional square-root singularity at the crack tips. In addition, the remote electric current only produces a mode I stress intensity factor.
Author Song, Haopeng
Gao, Cunfa
Yu, Chuanbin
Li, Jiangyu
Author_xml – sequence: 1
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  surname: Yu
  fullname: Yu, Chuanbin
  organization: State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics & Astronautics
– sequence: 2
  givenname: Jiangyu
  surname: Li
  fullname: Li, Jiangyu
  organization: Department of Mechanical Engineering, University of Washington, Shenzhen Key Laboratory of Nanobiomechanics, Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences
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  givenname: Haopeng
  surname: Song
  fullname: Song, Haopeng
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  givenname: Cunfa
  surname: Gao
  fullname: Gao, Cunfa
  email: cfgao@nuaa.edu.cn
  organization: State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics & Astronautics
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crossref_primary_10_1016_j_applthermaleng_2024_124162
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Cites_doi 10.1016/S1359-4311(03)00012-7
10.1016/j.ijthermalsci.2016.01.023
10.1515/jtam-2016-0006
10.1007/s10853-015-8960-x
10.1080/01495739.2015.1015369
10.1016/j.jmps.2013.03.006
10.1016/j.tafmec.2013.11.006
10.1007/s00419-008-0242-5
10.1115/1.3640612
10.1126/science.285.5428.703
10.1557/mrs2006.44
10.1016/j.ijengsci.2012.02.003
10.1126/science.1158899
10.2320/jinstmet1952.63.3_391
10.1051/epjap/2012120076
10.1016/j.jallcom.2010.11.204
10.1007/s11664-011-1879-3
ContentType Journal Article
Copyright Springer-Verlag GmbH Austria 2017
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Snippet We present a rigorous treatment to the plane problem of a thermoelectric medium with collinear cracks subjected to remote uniform thermal–electric loads based...
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SubjectTerms Classical and Continuum Physics
Complex variables
Control
Crack tips
Cracks
Dynamical Systems
Electric flux
Engineering
Engineering Thermodynamics
Fracture mechanics
Heat and Mass Transfer
Heat transmission
Mathematical models
Original Paper
Permeability
Solid Mechanics
Stress distribution
Stress intensity factors
Theoretical and Applied Mechanics
Thermoelectric materials
Vibration
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Title Electrically permeable and thermally insulated collinear cracks in thermoelectric materials
URI https://link.springer.com/article/10.1007/s00707-017-2027-9
https://www.proquest.com/docview/2196129379
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