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10 - Computational Grains for Piezoelectric Composites/Porous Materials

Published online by Cambridge University Press:  05 October 2023

Leiting Dong
Affiliation:
Beihang University, China
Satya N. Atluri
Affiliation:
University of California, Irvine
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Summary

In this chapter, a new type of Computational Grains is proposed to study the micro-electro-mechanical behavior of composite piezoelectric materials. This method is based on a new hybrid variational principle, and independently assumed displacements and electric potentials in each CG. Each CG can efficiently model a single physical grain of the composite material, thus saving a significant time of generating complex FEM mesh. Computational Grains can also model porous and composite piezoelectric materials even if the distribution of voids/inclusions is not symmetrical (which is assumption used with all unit cell models). Because the trial solutions are complete but do not satisfy the governing differential equations a priori, the formulation is very simple, and can accurately account for the local field concentrations efficiently and accurately. This is illustrated using different examples where the fields along the void/inclusion periphery are calculated, and the effective material properties of porous and composite materials are predicted, and compared with other analytical and computational models. The proposed CG in this chapter is expected to become a very powerful tool of direct numerical simulations of the micro/meso mechanics of composite piezoelectric materials, and can possibly lead to efficient multi-scale modeling of piezoelectric devices.

Type
Chapter
Information
Computational Grains
Micromechanical Genome for Heterogeneous Materials
, pp. 192 - 205
Publisher: Cambridge University Press
Print publication year: 2023

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References

Atluri, S. N., “On ‘Hybrid’ Finite-Element Models in Solid Mechanics,” Advances in Computer Methods for Partial Differential Equations, vol. 1, pp. 346356, 1975.Google Scholar
Wang, X., Zhou, Y., and Zhou, W., “A Novel Hybrid Finite Element with a Hole for Analysis of Plane Piezoelectric Medium with Defects,” International Journal of Solids and Structures, vol. 41, no. 24, pp. 71117128, 2004, https://doi.org/10.1016/j.ijsolstr.2004.06.012.Google Scholar
Wang, H., Tan, G., Cen, S., and Yao, Z., “Numerical Determination of Effective Properties of Voided Piezoelectric Materials using BNM,” Engineering Analysis with Boundary Elements, vol. 29, no. 6, pp. 636646, 2005, https://doi.org/10.1016/j.enganabound.2005.01.014.Google Scholar
Odegard, G. M., “Constitutive Modeling of Piezoelectric Polymer Composites,” Acta Materialia, vol. 52, no. 18, pp. 53155330, 2004, https://doi.org/10.1016/j.actamat.2004.07.037.Google Scholar
Sosa, H., “Plane Problems in Piezoelectric Media with Defects,” International Journal of Solids and Structures, vol. 28, no. 4, pp. 491505, 1991, https://doi.org/10.1016/0020-7683(91)90061-J.Google Scholar
Dunn, M. L. and Taya, M., “Micromechanics Predictions of the Effective Electroelastic Moduli of Piezoelectric Composites,” International Journal of Solids and Structures, vol. 30, no. 2, pp. 161175, 1993, https://doi.org/10.1016/0020-7683(93)90058-F.Google Scholar

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