The purpose of this study is to set the numerical bases before approaching the study of the identification of the mechanical parameters of materials’ elastic behavior. Indeed, most part of the mechanical tests do not allow to identify these mechanical parameters, the use of finite elements method calculations to design structures is limited by a poor knowledge of the mechanical properties. It is in this context that arises the inverse analysis problematic [ 1 ] [ 2 ]. For the parameters of the behaviour laws of material ; what information can be obtained from the in situ measures ? Besides what are the numerical techniques needed to obtain a determination of these parameters precisely and systematically. In this work we present a new way of proceeding by proposing an easy useful formulation by a treatment of the inverse problem. The problem so found is a differential system instead of a partial derivative problem. The resolution of the direct problem leads to obtain convincing results. These latters are in agreement with the simulation by a commercial code. This will allow us afterward to approach, without apprehension, the inverse problem. This is achieves through proposing a technique of systematic identification by using the database beforehand definite [3]
