As technology continues to shrink in size, the grain sizes and other microstructural scales of the materials used to make electronic components are starting to approach the size of the components themselves. When investigating the mechanical behaviour in this context, it is important to consider the impact of microstructure. The paper introduces a three-scale model for piezoelectric materials that incorporates multigrain and multidomain structures, based on homogenization theory. Intergranular domains were represented as a sub-microstructure at a very small scale. A collection of grains with random orientations was considered a microstructure at the mesoscale. The previous comprehensive model also featured a macrostructure exposed to external forces. A dual-domain structure was created for the case study analysis. This structure comprises positive and negative directional domains separated by a 180-degree orientation gap. The study examined how domain arrangement affects the macroscopic material properties of a polycrystal using a two-step homogenization process.

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Multiscale Modeling of Piezoelectric Polycrystals: Impact of Microstructure and Domain Arrangement on Macroscopic Properties

  • Pankaj Gupta,
  • Bhagat Singh,
  • Yogesh Shrivastava,
  • Durgesh Nandan

摘要

As technology continues to shrink in size, the grain sizes and other microstructural scales of the materials used to make electronic components are starting to approach the size of the components themselves. When investigating the mechanical behaviour in this context, it is important to consider the impact of microstructure. The paper introduces a three-scale model for piezoelectric materials that incorporates multigrain and multidomain structures, based on homogenization theory. Intergranular domains were represented as a sub-microstructure at a very small scale. A collection of grains with random orientations was considered a microstructure at the mesoscale. The previous comprehensive model also featured a macrostructure exposed to external forces. A dual-domain structure was created for the case study analysis. This structure comprises positive and negative directional domains separated by a 180-degree orientation gap. The study examined how domain arrangement affects the macroscopic material properties of a polycrystal using a two-step homogenization process.