scholarly journals Magneto-electro-elastic coated inclusion problem and its application to magnetic-piezoelectric composite materials

2011 ◽  
Vol 48 (16-17) ◽  
pp. 2393-2401 ◽  
Author(s):  
F. Dinzart ◽  
H. Sabar
Keyword(s):  
Composite Materials ◽  
Piezoelectric Composite ◽  
Inclusion Problem ◽  
Coated Inclusion

Self-consistent estimates for the viscoelastic creep compliances of composite materials

1978 ◽  
Vol 359 (1697) ◽  
pp. 251-273 ◽  
Keyword(s):  
Composite Materials ◽  
Numerical Solutions ◽  
The Self ◽  
Inclusion Problem ◽  
Inclusion Problems ◽  
Viscoelastic Creep ◽  
Self Consistent ◽  
Title Problem ◽  
Consistent Method ◽  
Selection Of

In this paper the viscoelastic creep compliances of various composites are estimated by the self-consistent method. The phases may be arbitrarily anisotropic and in any concentrations but we demand that one of the phases be a matrix and the remaining phases consist of ellipsoidal inclusions. The theory is succinctly formulated with the help of Stieltjes convolutions. In order to solve the title problem, we first solve the misfitting viscoelastic inclusion problem. Numerical solutions are given for a selection of inclusion problems and for two common composite materials, namely an isotropic dispersion of spheres, and a uni-directional fibre reinforced material.

The Effect of Imperfect Inner Interface on the Stress Fields of Three-Phase Composite Materials

2006 ◽  
Vol 324-325 ◽  
pp. 983-986
Author(s):  
Mei Zhang ◽  
Peng Cheng Zhai ◽  
Jin Zhang Tong ◽  
Jiang Tao Zhang
Keyword(s):  
Composite Materials ◽  
Imperfect Interface ◽  
Shear Loading ◽  
Stress Fields ◽  
Numerical Examples ◽  
Displacement Jump ◽  
Three Phase ◽  
Coated Inclusion ◽  
Interfacial Traction

In this paper, the effect of imperfect inner interface on the stress fields in the coated inclusion composite is investigated, the spring-layer of vanishing thickness model is introduced to simulate the imperfect interface, assuming that across the interface between the inclusion and the coating the interfacial traction is continuous while displacement discontinuities are permitted through interfacial traction-displacement jump relations. Numerical examples corresponding to the composites containing single coated spherical and fibrous inclusion, respectively, under shear loading at infinity, are calculated, which indicate that the imperfect inner interfaces have significant effect on stress fields of the composites.

An analysis of piezoelectric composite materials containing ellipsoidal inhomogeneities

1993 ◽  
Vol 443 (1918) ◽  
pp. 265-287 ◽  
Keyword(s):  
Composite Materials ◽  
Effective Properties ◽  
Mean Field ◽  
Piezoelectric Medium ◽  
Piezoelectric Composite ◽  
High Concentration ◽  
Reinforced Composite ◽  
The Matrix ◽  
Eshelby’S Tensor ◽  
Piezoelectric Solids

A set of four tensors corresponding to Eshelby’s tensor in elasticity are obtained for an ellipsoidal inclusion embedded in an infinite piezoelectric medium. These tensors, which describe the elastic, piezoelectric, and dielectric constraint of the matrix, are obtained from W. F. Deeg’s solution to inclusion and inhomogeneity problems in piezoelectric solids. These tensors are then used as the backbone in the development of a micromechanics theory to predict the effective elastic, dielectric, and piezoelectric moduli of particle and fibre reinforced composite materials. The effects of interaction among inhomogeneities at finite concentrations are approximated through the Mori-Tanaka mean field approach. This approach, although widely utilized in the study of uncoupled elastic and dielectric behaviour, has not before been applied to the study of coupled behaviour. To help ensure confidence in the theory, the analytical predictions are proven to be self-consistent, diagonally symmetric, and to exhibit the correct behaviour in the low and high concentration limits. Finally, numerical results are presented to illustrate the effects of the concentration, shape, and material properties of the reinforcement on the effective properties of piezoelectric composites and analytical predictions are shown to result in good agreement with existing experimental data.

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