On membrane and shell formulations for 3-D finite element modelling of sheet forming - Mines Paris Accéder directement au contenu
Communication Dans Un Congrès Année : 1998

On membrane and shell formulations for 3-D finite element modelling of sheet forming

Résumé

A brief survey of the existing literature devoted to simulation of material sheet forming is analysed in term of membrane, thin and thick sheet theories. The mechanical behaviour of cold or hot metal as well as molten polymers is recalled and the corresponding integral formulations are given, including the membrane approximation. The finite element discretisation is outlined and the time integration schemes are presented with a possible velocity approach. Due to large displacements which are present in these processes and possible strain localisation's, the initial mesh of the sheet may reveal unsuitable for achieving the complete simulation. The Arbitrary Lagrange Euler method is presented as a way to delay remeshing and keep a mesh with small distortions. However, when large strains and small radii appear, remeshing must be used, based upon error estimation or on an evaluation of angles between elements.

Domaines

Matériaux
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Dates et versions

hal-00573677 , version 1 (04-03-2011)

Identifiants

  • HAL Id : hal-00573677 , version 1

Citer

Jean-Loup Chenot, Elisabeth Massoni. On membrane and shell formulations for 3-D finite element modelling of sheet forming. 6th International Conference on Numerical Methods in Industrial Forming Processes (NUMIFORM 98), Jun 1998, Enschede, Netherlands. pp.Pages 33-42. ⟨hal-00573677⟩
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