Effective predictions of heterogeneous flexoelectric multilayered composite with generalized periodicity

D. Guinovart-Sanjuán; K. Vajravelu; R. Rodríguez-Ramos; R. Guinovart-Díaz; J. Bravo-Castillero; F. Lebon; F. J. Sabina; J. Merodio

doi:10.1016/j.ijmecsci.2020.105755

Effective predictions of heterogeneous flexoelectric multilayered composite with generalized periodicity

D. Guinovart-Sanjuán, K. Vajravelu, R. Rodríguez-Ramos, R. Guinovart-Díaz, J. Bravo-Castillero, F. Lebon, F. J. Sabina, J. Merodio

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

In this work, the general mathematical statements for flexoelectric heterogeneous equilibrium boundary value problems are reported. A methodology to find the local problems and the effective properties of flexoelectric composites with generalized periodicity is presented, using the two-scales asymptotic homogenization method. The statement of the homogenized boundary values problem is given. A procedure to solve the local problems of stratified multilayered composites with complex geometry and perfect contact at the interface is proposed. Consequently, the analytical expressions of the effective coefficients are obtained. The piezoelectric limit case for rectangular bi-laminated composites is validated. Finally, numerical analysis to illustrate the behavior of the effective properties for rectangular and wavy flexoelectric bi-layered structures are shown.

Original language	English (US)
Article number	105755
Journal	International Journal of Mechanical Sciences
Volume	181
DOIs	https://doi.org/10.1016/j.ijmecsci.2020.105755
State	Published - Sep 1 2020
Externally published	Yes

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Publisher Copyright:
© 2020 Elsevier Ltd

Keywords

Analytical modeling
Flexoelectricity
Homogenization
Layered structures
Mechanical properties

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10.1016/j.ijmecsci.2020.105755

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Guinovart-Sanjuán, D., Vajravelu, K., Rodríguez-Ramos, R., Guinovart-Díaz, R., Bravo-Castillero, J., Lebon, F., Sabina, F. J., & Merodio, J. (2020). Effective predictions of heterogeneous flexoelectric multilayered composite with generalized periodicity. International Journal of Mechanical Sciences, 181, Article 105755. https://doi.org/10.1016/j.ijmecsci.2020.105755

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title = "Effective predictions of heterogeneous flexoelectric multilayered composite with generalized periodicity",

abstract = "In this work, the general mathematical statements for flexoelectric heterogeneous equilibrium boundary value problems are reported. A methodology to find the local problems and the effective properties of flexoelectric composites with generalized periodicity is presented, using the two-scales asymptotic homogenization method. The statement of the homogenized boundary values problem is given. A procedure to solve the local problems of stratified multilayered composites with complex geometry and perfect contact at the interface is proposed. Consequently, the analytical expressions of the effective coefficients are obtained. The piezoelectric limit case for rectangular bi-laminated composites is validated. Finally, numerical analysis to illustrate the behavior of the effective properties for rectangular and wavy flexoelectric bi-layered structures are shown.",

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doi = "10.1016/j.ijmecsci.2020.105755",

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T1 - Effective predictions of heterogeneous flexoelectric multilayered composite with generalized periodicity

AU - Guinovart-Sanjuán, D.

AU - Vajravelu, K.

AU - Rodríguez-Ramos, R.

AU - Guinovart-Díaz, R.

AU - Bravo-Castillero, J.

AU - Lebon, F.

AU - Sabina, F. J.

AU - Merodio, J.

PY - 2020/9/1

Y1 - 2020/9/1

N2 - In this work, the general mathematical statements for flexoelectric heterogeneous equilibrium boundary value problems are reported. A methodology to find the local problems and the effective properties of flexoelectric composites with generalized periodicity is presented, using the two-scales asymptotic homogenization method. The statement of the homogenized boundary values problem is given. A procedure to solve the local problems of stratified multilayered composites with complex geometry and perfect contact at the interface is proposed. Consequently, the analytical expressions of the effective coefficients are obtained. The piezoelectric limit case for rectangular bi-laminated composites is validated. Finally, numerical analysis to illustrate the behavior of the effective properties for rectangular and wavy flexoelectric bi-layered structures are shown.

AB - In this work, the general mathematical statements for flexoelectric heterogeneous equilibrium boundary value problems are reported. A methodology to find the local problems and the effective properties of flexoelectric composites with generalized periodicity is presented, using the two-scales asymptotic homogenization method. The statement of the homogenized boundary values problem is given. A procedure to solve the local problems of stratified multilayered composites with complex geometry and perfect contact at the interface is proposed. Consequently, the analytical expressions of the effective coefficients are obtained. The piezoelectric limit case for rectangular bi-laminated composites is validated. Finally, numerical analysis to illustrate the behavior of the effective properties for rectangular and wavy flexoelectric bi-layered structures are shown.

KW - Analytical modeling

KW - Flexoelectricity

KW - Homogenization

KW - Layered structures

KW - Mechanical properties

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JO - International Journal of Mechanical Sciences

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M1 - 105755

ER -

Effective predictions of heterogeneous flexoelectric multilayered composite with generalized periodicity

Abstract

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