Simulation de l'emboutissage à froid par une méthode asymptotique numérique

Abstract : The deep drawing is a forming process largely used in the industry, especially in the car manufactures. The numerical simulation of this kind of processes needs much CPU time because of the several nonlinearities due to the geometry, contact phenomenon and the constitutive law. The aim of this thesis is to reduce the computing time using an alternative method called "asymptotic numerical method". This latter allows us to search solution branches in the form of power series and transforms the nonlinear problems into a succesion of well posed linear problems involving the same tangent operator. In this thesis a shell formulation well adopted to large trasformation phenomenon is adopted. As the elastic unload is considered, the theory of plasticity with the total deformation is adopted. To apply a perturbation technique, a regularisation of the constitutive law as well as the contact conditions has been used. Compared to the classical iterative method, the A.N.M. needs always less matriw decompositions and less computing time. The reason of this performance is the ability of the method to decompose only one stiffness matrix by step and to adjust automatically the step size of the local nonlinearity encountered. For the class of problems presented in this thesis, the ANM is efficient, reliable and easy to perform
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Hammadi Abichou. Simulation de l'emboutissage à froid par une méthode asymptotique numérique. Mécanique [physics.med-ph]. Université Paul Verlaine - Metz, 2001. Français. ⟨NNT : 2001METZ010S⟩. ⟨tel-01775454⟩

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