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      Homogenization of size-dependent multiphysics behavior of nanostructured piezoelectric composites with energetic surfaces

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      Author(s)
      Chen, Q.
      Chatzigeorgiou, G.
      Javili, Ali
      Date
      2022-07-16
      Source Title
      European Journal of Mechanics, A/Solids
      Print ISSN
      2642-2085
      Electronic ISSN
      1873-7285
      Publisher
      Elsevier
      Volume
      96
      Pages
      1 - 18
      Language
      English
      Type
      Article
      Item Usage Stats
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      Abstract
      Surface piezoelectricity considering the extended Gurtin–Murdoch coherent interface model has been incorporated into the composite cylinder assemblage (CCA), generalized self-consistent method (GSCM), as well as the multiphysics finite-element micromechanics (MFEM), for simulating the size-dependent multiphysics response of nanoporous materials wherein interface stress and electric displacement prevail. In the case of the CCA/GSCM model, the coherent interface model is implemented through the generalized Young–Laplace equations that govern the variation of the surface stress and the surface electric displacement. Three loading modes are utilized to identify the closed-form solutions for a complete set of Hill's moduli, and piezoelectric and dielectric constants. In the case of the MFEM, surface piezoelectricity is incorporated directly through additional surface energies associated with the elements that stretch along the interface. In order to assess the accuracy of the developed computational approaches, the generalized Kirsch problem under far-field transverse electric displacement loading is developed for recovering electric displacement concentration in the vicinity of the pore boundary. Homogenized properties are generated and critically examined for a broad variety of parameters and dimensions, predicted by the CCA/GSCM and MFEM methods. It is shown that all the predicted effective properties of these two families of homogenization techniques are similar except for the transverse shear moduli where they show marked differences that are reminiscent of what has been observed in the absence of surface electricity. © 2022 Elsevier Masson SAS
      Keywords
      Composite cylinder assemblage model
      Finite-element method
      Gurtin–murdoch interface
      Multiphysics effect
      Nanoporous materials
      Surface piezoelectricity
      Permalink
      http://hdl.handle.net/11693/111561
      Published Version (Please cite this version)
      https://dx.doi.org/10.1016/j.euromechsol.2022.104731
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