Youcef Amine MASMOUDI

In recent decades, turbomachinery has known a special development with the aim of lightening rotating components of machinery and preserving the environment all for improving operating performances. The key elements in the turbomachinery are the air foil bearings that support rotors rotating at high speeds. In this paper, we are interested in the aero-elastic study of air foil bearing in stationary régime. The deformable structure contains a corrugated foils (bumps) fixed on a top-foil rigid which forms with rotor and air an elasto-aerodynamic contact. Numerical modeling was developed based on the Reynolds equation and an elastic deformation model of the bump depending on aerodynamic pressure, bump geometry and its mechanical proprieties. This problem non-linear is resolved using finite difference discretization and Newton-Raphson method. Finally, the calculations show the pressure distribution and field of film thickness as well as other fluid-structure interaction characteristics due to the functional conditions.

The elasto-static anti-plane problem of a crack in a semi-infinite strip containing a non-homogeneous zone was studied using two approaches. The first one consist on an analytical approach based on the solution of a Singular Integral Equation (SIE formulation) using the Dugdale-Barenblatt cohesive model and the second approach is a numerical method based on a finite element analysis using a bilinear cohesive model (FEM-CZM approach). The results were expressed in term of fracture load. The length of the developing cohesive zone ahead of the crack tip was deduced at the crack initiation. This critical length size which was normalized with the crack size is taken as a characteristic length for defining the small/large scale yielding conditions of the particular studied case. For the small cohesive zone sizes (small scale yielding conditions), the computed values of the fracture load show a small difference between analytical and numerical approaches. In the other hand for the case of large cohesive zone sizes, the obtained values of the fracture load show significant discrepancy between the two approaches.