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Periodic dynamic formula of thermoelectric coupling phenomenon

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Document pages: 10 pages

Abstract: The classical theory is used to model the heat flow and current in the thermoelectric converter at the same time, without considering the influence of defects in materials. This is because the traditional method is developed based on partial differential equation (PDE), resulting in infinite flux at the discontinuity. The common method to solve such partial differential equations is to use numerical techniques, such as finite element method (FEM). Although the finite element method is robust and universal, it is not suitable for simulating evolving discontinuities. In order to avoid these shortcomings, we propose the concept of periodic dynamics theory to deduce the energy and charge balance equations in coupled thermoelectric phenomena. Therefore, this paper studies the heat and charge transfer in thermoelectric materials under the framework of peridynaic (PD) theory. To illustrate the reliability of the PD formulation, numerical examples are presented and results are compared with those from literature, analytical solutions, or finite element solutions.

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