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Abstract

The arbitrary Lagrangian-Eulerian (ALE) formulation, which is already well established in the hydrodynamics and fluid-structure interaction fields, is extended to materials with memory, namely non-linear path-dependent materials. The ALE approach is based on the arbitrary movement of the reference frame, which is continuously rezoned in order to allow a precise description of the moving interface and to maintain the element shape. It is, therefore, concerned with the kinematic description, ie. the relationship between the moving media and the computational grid. Two classical descriptions are normally employed in continuum mechanics. The first one is Lagrangian, in which the mesh points coincide with the material particles. The second, Eulerian viewpoint, allows strong distortions without problems because the mesh is fixed with respect to the laboratory frame and the continuum flows through it. Because of the shortcomings of purely Lagrangian and Eulerian descriptions, arbitrary Lagrangian-Eulerian techniques were developed.

Additional information

Authors: HUERTA A, Universitat Politècnica de Cataluña, Barcelona (ES);CASADEI F, JRC Ispra (IT);DONÉA J, JRC Ispra (IT)
Bibliographic Reference: Paper presented: 4th International Conference on Numerical Methods in Industrial Forming Processes, Valbonne (FR), Sept. 14-18, 1992
Availability: Available from (1) as Paper EN 36900 ORA
Record Number: 199210814 / Last updated on: 1994-12-02
Category: PUBLICATION
Original language: en
Available languages: en