Contribution to the study of composite materials based piezoelectric fibers: use Mori Tanaka homogenization model

In the present work, we study the behaviour of composite piezoelectric. Inthe first part, we contribute to the understanding of the phenomenon ofpiezoelectricity, ferroelectricity and the main interest of piezoelectric materialsand their applications.In the second part, we give a prelude to the study ofcomposite materials, also a bibliographical synthesis of homogenizationtechniques in the most classical linear elasticity, we are interested in the model ofMori Tanaka, the main interest of this model that allows to study a compositematerial containing a fairly high quantity of volume fraction of fiber. One of themost important problems that must be taken into consideration, is the cost of thesepiezoelectric materials, the interest of this study is to find the behaviour ofpiezoelectric composites using the homogenization model, which can replace thepiezoelectric materials and reduce the cost of these materials. In the last part, wedemonstrate the constitutive equation of piezoelectric composites, and simulatethe equation obtained in a programming language to determine stress-strainbehaviour during a compression test.