ROULET Vincent

The thesis work is part of the European research project MAAXIMUS (More Affordable Aircraft through eXtended, Integrated and Mature nUmerical Sizing) and focuses on the numerical simulation of component assembly problems in laminated composite materials. These assemblies are the source of two types of non-linearities. On the one hand, the interface between the parts leads to the treatment of strong nonlinearities (contact, friction). On the other hand, in the components of the assembly, the behavior of the laminated material is complex, because of the numerous degradation phenomena interacting between them. These two aspects have a strong influence on the global response of the assembly, which implies the resolution of very large systems, generally requiring the use of parallel computing resources. The coupling between these two issues requires the use of dedicated and robust parallel computing algorithms, able to handle many strong non-linearities. For this purpose, the LATIN method (for LArge Time INcrement) has many advantages, which have already been demonstrated in the case of the calculation of elastic parts assemblies in previous works. The aim of this work is to extend the framework of the method to the case of parts with damageable and anelastic behavior. A last aspect, which will be addressed in this work, deals with the high variability of the coefficients involved in the non-linear laws. Consequently, it is necessary to be able to treat a very large number of problems with different coefficient values. For this, the multiparametric strategy, closely related to the LATIN method, must be extended to the case of nonlinear material behavior. It will then be applied through several variable parameters: friction coefficients, preloads of fasteners, damage threshold of materials.