Prediction of effective properties for multilayered laminated composite with delamination: A multiscale methodology proposal
Por:
Guinovart-Sanjuan D., Rodríguez-Ramos R., Vajravelu K., Mohapatra R., Guinovart-Díaz R., Brito-Santana H., Tita V., Sabina F.J.
Publicada:
1 ene 2022
Resumen:
In the manuscript, piezoelectric composites with non-uniform imperfect contact at the interface are studied. For this, the two-scales asymptotic homogenization method is used to determine the effective properties of said piezocomposite. First, a theoretical framework is offered to determine the effective properties of piezoelectric materials with generalized periodicity. In addition, a method to solve the local problems for the particular case of stratified media with imperfect contact conditions is described. In the second part, the above-described methodology is used to study different numerical examples and compare the results taking into account distinct contact conditions at the interfaces. Examples include wavy composites with uniform imperfect contact, laminate composite with cracks at the interface, and non-uniform imperfect contact conditions elastic and piezoelectric composites. Also, the influence on the average properties of the small geometrical parameter related to the size of the periodic cell in the homogenization is illustrated. To validate the model, some of the results are compared with the values obtained by the finite elements method (FEM). © 2022 Elsevier Ltd
Filiaciones:
Guinovart-Sanjuan D.:
Department of Mathematics, University of Central Florida, Orlando, United States
Rodríguez-Ramos R.:
Facultad de Matemática y Computación, Universidad de La Habana, La Habana, Cuba
Vajravelu K.:
Department of Mathematics, University of Central Florida, Orlando, United States
Mohapatra R.:
Department of Mathematics, University of Central Florida, Orlando, United States
Guinovart-Díaz R.:
Facultad de Matemática y Computación, Universidad de La Habana, La Habana, Cuba
Brito-Santana H.:
Departamento de Matemática, Facultad de Ciencias Naturales, Matemática y del Medio Ambiente, Universidad Tecnológica Metropolitana, Santiago, Chile
Tita V.:
Department of Aeronautical Engineering, São Carlos School of Engineering, University of São Paulo, SP, São Carlos, Brazil
Sabina F.J.:
Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México, Apartado Postal 20-126, Alcaldía Alvaro Obregón, CDMX, 01000, Mexico
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