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Microstructural modelling of polycrystalline materials and multilayer actuator layers

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Abstract

A two-dimensional grain boundary formulation is presented for the micromechanical analysis of multilayer barium titanate ceramics. A boundary element formulation of the elastic problem is generated for single grains of the polycrystalline, as well as for heterogeneous aggregation and the assumption of traction equilibrium and displacement compatibility. In order to obtain the microstructural model of homogeneous and multilayer actuator, the solid-state technique is applied for the preparation of \(\hbox {BaTiO}_{3}\) powder. Image-processing technique is employed in order to discretize the grains boundaries but not their surface, resulting in the significant simplification of data preparation. The integrity of the collection is guaranteed by applying both continuity and equilibrium at the interface between contiguous grains. The numerical homogenization of the 2D polycrystals is performed by the developed technique, and a comparison with the available data is presented.

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Authors and Affiliations

  1. Department of Materials Forming and Processing, Rzeszow University of Technology, Al. Powst. Warszawy 8, 35-959, Rzeszow, Poland

    Mojtaba Biglar & Tomasz Trzepieciński

  2. Ceramic Department CEREL, Institute of Power Engineering, ul. Techniczna 1, 36-040, Boguchwała, Poland

    Magdalena Gromada

Authors
  1. Mojtaba Biglar
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  2. Tomasz Trzepieciński
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  3. Magdalena Gromada
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Correspondence to Tomasz Trzepieciński.

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Communicated by Francesco dell’Isola.

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Biglar, M., Trzepieciński, T. & Gromada, M. Microstructural modelling of polycrystalline materials and multilayer actuator layers. Continuum Mech. Thermodyn. 31, 895–906 (2019). https://doi.org/10.1007/s00161-018-0688-9

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  • DOI: https://doi.org/10.1007/s00161-018-0688-9

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