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Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 258))

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Abstract

In this section, we present a procedure based on FEM for solving homogenization problems involving two coupled phenomena: electric conductivity and elasticity. In contrast to the case of thermoelasticity where the thermal problem has only an effect on the elastic problem and not the opposite, here both problems depend on the solution of each other. After presenting the localization problem defined over the RVE, the different effective operators are defined and the FEM procedure for their numerical calculation is provided. Finally, a numerical validation example is provided for fibrous piezoelectric composites.

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Correspondence to Julien Yvonnet .

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Yvonnet, J. (2019). Piezoelectricity. In: Computational Homogenization of Heterogeneous Materials with Finite Elements. Solid Mechanics and Its Applications, vol 258. Springer, Cham. https://doi.org/10.1007/978-3-030-18383-7_5

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  • DOI: https://doi.org/10.1007/978-3-030-18383-7_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-18382-0

  • Online ISBN: 978-3-030-18383-7

  • eBook Packages: EngineeringEngineering (R0)

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