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A Peridynamic Computational Scheme for Thermoelectric Fields.

Migbar Assefa Zeleke1,2, Lai Xin3, Liu Lisheng3,4

  • 1Department of Mechanical Engineering, University of Botswana, Gaborone 0061, Botswana.

Materials (Basel, Switzerland)
|June 7, 2020
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Summary
This summary is machine-generated.

This study introduces a peridynamic (PD) theory to model discontinuities in thermoelectric materials. The novel approach accurately captures complex thermal and electric field behaviors, especially at crack tips.

Keywords:
electric conductionheat conductioninsulated crackperidynamic theorythermoelectricity

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Area of Science:

  • Materials Science
  • Solid Mechanics
  • Electromagnetism

Background:

  • Thermoelectric materials couple heat flux and electric current via Seebeck and Peltier effects.
  • Discontinuities like cracks complicate the analysis of thermoelectric materials due to undefined fields at crack tips.

Purpose of the Study:

  • To develop and present a peridynamic (PD) theory for analyzing thermoelectric materials with discontinuities.
  • To effectively model discontinuous thermal and electric fields, particularly at crack tips.

Main Methods:

  • Formulated a peridynamic (PD) theory to address discontinuities in thermal and electric fields.
  • Represented continuum-based electrical potentials and temperature fields using nonlocal integrals.
  • Applied the PD theory to model crack-related discontinuities in thermoelectric materials.

Main Results:

  • The proposed PD theory successfully captures discontinuities in thermal and electric fields.
  • PD results demonstrated excellent agreement with literature, finite element, and analytical solutions.
  • The nonlocal integral formulation proved effective for both continuous and discontinuous fields.

Conclusions:

  • Peridynamic (PD) theory is a suitable and consistent method for analyzing thermoelectric materials with discontinuities.
  • The proposed PD approach provides accurate modeling of complex thermoelectric phenomena, especially in the presence of cracks.