Investigation of Lagrangian and Eulerian finite element methods for modeling the laser forming process
Laser forming is an effective and efficient manufacturing technology. Both Eulerian and Lagrangian approaches can be applied on modeling the laser forming process. In this paper, 3D Eulerian and Lagrangian finite element models of various lengths are created for simulation. The results of Lagrangian approach are in good agreement with the experimental results reported by Kyrsanidy (J. Mater. Process. Technol. 87 (1999) 281.) Results of models with various lengths, indicate that the specimen length has significant effect on the angular deformation of the plate in the laser forming process. The Eulerian approach is nearly 2 orders of magnitude faster than the Lagrangian approach, especially for long parts, which are common in the real production. However, the angular deformation is over predicted using Eulerian approach and further development is needed.
lagrangian eulerian laser forming finite element modeling