Elasto-thermoelectric beam formulation for modeling thermoelectric devices
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Other documents of the author: Palma Guerrero, Roberto; Moliner, Emma; Pérez Aparicio, J. L.
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Title
Elasto-thermoelectric beam formulation for modeling thermoelectric devicesDate
2017-07Publisher
ElsevierBibliographic citation
PALMA GUERRERO, Roberto; MOLINER CABEDO, Emmanuela; PÉREZ APARICIO, J. L. Elasto-thermoelectric beam formulation for modeling thermoelectric devices. Finite Elements in Analysis and Design (2017), v. 129, pp. 32-41Type
info:eu-repo/semantics/articlePublisher version
http://www.sciencedirect.com/science/article/pii/S0168874X16301123Subject
Abstract
The present paper provides a dynamic, non-linear and fully coupled Finite Element (FE) formulation based on the
Timoshenko beam theory to study elasto-thermoelectric responses in thermoelectric devices. The two main ... [+]
The present paper provides a dynamic, non-linear and fully coupled Finite Element (FE) formulation based on the
Timoshenko beam theory to study elasto-thermoelectric responses in thermoelectric devices. The two main motivations
of this work are: i) to study mechanical responses in thermoelectric devices, which must be taken into account in
the design of Peltier cells due to the fragility and relative low strength of the semiconductors , and ii) to provide a numerical
tool that decreases the CPU time to allow the introduction of designs based on optimization processes and on
sensitivity analyses that could require many evaluations. In order to undertake the objectives of this work, the general
three-dimensional governing equations are reduced to one-dimensional ones by means of several assumptions. Then,
a set of five multi-coupled partial differential equations is obtained. The resultant expressions are thermodynamically
consistent and form a multi-coupled monolithic FE formulation, differently to stagger formulations that require two
separated steps to reach the final result. Numerically, this set of multi-coupled equations is discretized using the FE
method and implemented into FEAP [1]. For a proper validation of the code, four benchmarks are performed using
one-dimensional dynamic analytical solutions developed by the authors. Finally, this formulation is compared with
a three-dimensional FE formulation also developed by the authors in [2] to model a commercial Peltier cell. This
comparison reveals that: i) relative errors are lower than 13% and ii) CPU times decrease significantly, more than one
order of magnitude. In conclusion, the beam thermoelectric formulation is an accurate model that reduces CPU time
and could be used in future design of thermoelectric devices. [-]
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Finite Elements in Analysis and Design (2017), v. 129Rights
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