Influence of imperfect elastic contact condition on the antiplane effective properties of piezoelectric fibrous composites

International Journal of Mechanical Sciences

Guinovart-Dı́az

López-Realpozo

et al. 2013

International audienceIn this work, two-phase parallel fiber-reinforced periodic piezoelectric composites are considered wherein the constituents exhibit transverse isotropy and the cells have different configurations. Mechanical imperfect contact at the interface of the composites is studied via linear spring model. The statement of the problem for two phase piezoelectric composites with mechanical imperfect contact is given. The local problems are formulated by means of the asymptotic homogenization method (AHM) and their solutions are found using complex variable theory. Analytical formulae are obtained for the effective properties of the composites with spring imperfect type of contact and different parallelogram cells. Some numerical examples and comparisons with other theoretical results illustrate that the model is efficient for the analysis of composites with presence of parallelogram cells and the aforementioned imperfect contact

Section: Introductionmentioning

confidence: 97%

Effective properties of periodic fibrous electro-elastic composites with mechanic imperfect contact condition

International Journal of Mechanical Sciences

Guinovart-Dı́az

López-Realpozo

et al. 2013

“…However, defects induced during the manufacturing process or accumulated due to environmental and operational loads lead to the reduction in the mechanical performance and material strength and are recognized as a general problem in this type of composites, [1]. Most typically, such defects can be found at the interfaces between the layers creating an imperfect contact condition, [2,3].…”

Section: Introductionmentioning

confidence: 99%

Behavior of laminated shell composite with imperfect contact between the layers

Guinovart-Sanjuán

Rizzoni

et al. 2017

Composite Structures

Self Cite

The paper focuses on the calculation of the effective elastic properties of a laminated composite shell with imperfect contact between the layers. To achieve this goal, first the two-scale asymptotic homogenization method (AHM) is applied to derive the solutions for the local problems and to obtain the effective elastic properties of a two-layer spherical shell with imperfect contact between the layers. The results are compared with the numerical solution obtained by finite elements method (FEM). The limit case of a laminate shell composite with perfect contact at the interface is recovered. Second, the elastic properties of a spherical heterogeneous structure with isotropic periodic microstructure and imperfect contact is analyzed with the spherical assemblage model (SAM). The homogenized equilibrium equation for a spherical composite is solved using AHM and the results are compared with the exact analytical solution obtained with SAM.

“…In particular, the two-scale asymptotic homogenization method (AHM) [13][14][15] is applied to a micromechanical model with rhombic arrangement of fibers. This work is an extension of previous works, [16][17][18] where piezoelectric composites with only mechanical imperfect contact were considered. The present study also differs from the other investigations, 17,[19][20][21] because not only the mechanical imperfect contact (spring model) is considered in the electro-elastic composites but also the combination of mechanical and electrical (springcapacitor) imperfections is examined.…”

Section: Introductionmentioning

confidence: 95%

Characterization of piezoelectric composites with mechanical and electrical imperfect contacts

Journal of Composite Materials

Guinovart-Dı́az

López-Realpozo

et al. 2015

The aim of the present work is to study the influence of the mechanical and electrical imperfections in reinforced piezoelectric composite materials with unidirectional cylindrical fibers periodically distributed in rhombic cells under mechanical and electrical imperfect contacts. The behavior of the composites is studied through two approaches: the two-scale asymptotic homogenization method and the finite element method. The asymptotic homogenization method is applied to a two-phase composite with mechanical and electrical imperfect contacts and to a three-phase composite with perfect contact in the interphase. The constituents of the composite are homogeneous piezoelectric materials with transversely isotropic properties. The local problems are formulated for the spring-capacitor and three-phase models by the asymptotic homogenization method. The solution of each plane local problem is found using potential methods of a complex variable and the properties of doubly periodic Weierstrass elliptic functions. Closed-form formulae are obtained for the effective properties of the composites with both types of imperfect contacts and different configuration of the cells. The finite element method is implemented for analysis of piezoelectric composite materials with unidirectional cylindrical fibers periodically distributed in rhombic cells under mechanical and electrical imperfect contacts. Some numerical examples are given under the presence of both imperfect contacts and different arrangement of the cells. Comparisons between the numerical results reported by asymptotic homogenization method and finite element method are provided.