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Behavior of piezoelectric layered composites with mechanical and electrical non-uniform imperfect contacts

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Abstract

In this work, the two scales asymptotic homogenization method (AHM) is applied for determining the effective coefficients of laminated piezoelectric composite with periodic structure under non-uniform electrical and mechanical imperfect contact conditions. The analytical expressions of the local problems and the effective coefficients as result of the AHM are explicitly described. The constituent materials have properties belonging to 2 mm symmetry point group. Numerical values of the effective coefficients are reported and compared with limit cases, where perfect and uniform imperfect contact conditions are considered. Good agreements are found for these comparisons. Hence, the effect of the non-uniform imperfect contact conditions on the effective coefficients can be analyzed.

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Acknowledgements

The authors JCLR and HCM thank the financial support for a sabbatical stay CONACYT 2018-1 performed at the Autonomous University of Ciudad Juarez. The author YEA gratefully acknowledges the Program of Postdoctoral Scholarships of DGAPA from UNAM (2019-2020), México. HCM and YEA are grateful to the support of the CONACYT Basic science Grant A1-S-9232. The author RRR thanks to Mathematic and Mechanic Department, IIMAS and PREI-DGAPA at UNAM (2018), for the support to his research project. FJS thanks the funding of DGAPA, UNAM. This work was supported by the project PAPIIT-DGAPA-UNAM IA100919. The authors HBS and VT are thankful to Coordination for the Improvement of the Higher Level Personnel (CAPES/PNPD), National Council for Scientific and Technological Development (CNPq Process Number: 401170/2014-4 and 310094/2015-1). The authors are thankful to Ramiro Chávez Tovar and Ana Pérez Arteaga for computational assistance.

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Authors and Affiliations

  1. Facultad de Matemática y Computación, Universidad de La Habana, San Lázaro y L, 10400, La Habana, Cuba

    J. C. López-Realpozo, R. Rodríguez-Ramos, A. J. Quintero Roba & R. Guinovart-Díaz

  2. Department of Mathematics, Metropolitan University of Technology, Las Palmeras 3360, Ñuñoa, Santiago de Chile, Chile

    H. Brito-Santana

  3. Department of Aeronautical Engineering, Sao Carlos School of Engineering, University of São Paulo, Av. João Dagnone 1100, São Carlos, SP, Brazil

    Volnei Tita

  4. Laboratoire de mécanique et d’acoustique, 4 impasse Nikola Tesla, Cs 40006, 13453, Marseille Cedex 13, Marseille, France

    F. Lebon

  5. Instituto de Ingeniería y Tecnología, Universidad Autónoma de Ciudad Juárez, Av. del Charro 610 Norte, 32310, Ciudad Juárez, Chihuahua, México

    H. Camacho-Montes

  6. Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México, Apartado Postal 20-126, Alcaldía Álvaro Obregón, 01000, CDMX, México

    Y. Espinosa-Almeyda, J. Bravo-Castillero & F. J. Sabina

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  1. J. C. López-Realpozo
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  2. R. Rodríguez-Ramos
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  10. J. Bravo-Castillero
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Correspondence to R. Rodríguez-Ramos.

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López-Realpozo, J.C., Rodríguez-Ramos, R., Quintero Roba, A.J. et al. Behavior of piezoelectric layered composites with mechanical and electrical non-uniform imperfect contacts. Meccanica 55, 125–138 (2020). https://doi.org/10.1007/s11012-019-01111-2

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