Prediction of effective properties for multilayered laminated composite with delamination: A multiscale methodology proposal

Abstract

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).