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Elasto-thermoelectric beam formulation for modeling thermoelectric devices

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Elasto-thermoelectric beam formulation for modeling thermoelectric devices

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dc.contributor.author Palma, Roberto es_ES
dc.contributor.author Moliner, E. es_ES
dc.contributor.author Pérez-Aparicio, José L. es_ES
dc.date.accessioned 2018-06-11T04:29:07Z
dc.date.available 2018-06-11T04:29:07Z
dc.date.issued 2017 es_ES
dc.identifier.issn 0168-874X es_ES
dc.identifier.uri http://hdl.handle.net/10251/103784
dc.description.abstract [EN] 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 Taylor, 2010 [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 Pe ́rez-Aparicio et al., 2015 [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. es_ES
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Finite Elements in Analysis and Design es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Thermoelectric es_ES
dc.subject Timoshenko beam model es_ES
dc.subject Finite Element Method es_ES
dc.subject Thermodynamics, Peltier cells es_ES
dc.subject.classification MECANICA DE LOS MEDIOS CONTINUOS Y TEORIA DE ESTRUCTURAS es_ES
dc.title Elasto-thermoelectric beam formulation for modeling thermoelectric devices es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.finel.2017.02.001 es_ES
dc.rights.accessRights Abierto es_ES
dc.date.embargoEndDate 2019-07-01 es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Mecánica de los Medios Continuos y Teoría de Estructuras - Departament de Mecànica dels Medis Continus i Teoria d'Estructures es_ES
dc.description.bibliographicCitation Palma, R.; Moliner, E.; Pérez-Aparicio, JL. (2017). Elasto-thermoelectric beam formulation for modeling thermoelectric devices. Finite Elements in Analysis and Design. 129:32-41. doi:10.1016/j.finel.2017.02.001 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1016/j.finel.2017.02.001 es_ES
dc.description.upvformatpinicio 32 es_ES
dc.description.upvformatpfin 41 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 129 es_ES
dc.relation.pasarela S\327237 es_ES


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