Conservation de l'énergie et maillages évolutifs en dynamique
Application aux calculs de propagation de ssure avec remaillage
Keywords:
remeshing, dynamic fracture mechanics, numerical stability, energy balanceAbstract
This paper presents a general study of the stability of variable-mesh dynamic calculations using an energy approach. This study, whose scope is limited to the calculation of dynamic crack propagation with remeshing, enables us to establish the conditions which are necessary to ensure stability and allow control of energy transfers during the evolution of the mesh. The results obtained on an sample problem are analyzed to illustrate the effectiveness of the proposed methods.
Downloads
References
[ATT 97] ATTIGUI M., PETIT C., « Mixed-mode separation in dynamic fracture mechanics :
New path independent integrals », International Journal of Fracture, vol. 84, no 1, 1997,
p. 19-36.
[BUI 78] BUI H. D., Mécanique de la rupture fragile, Masson, 1978.
[EIN 00] EINSFELD R. A., MARTHA L. F., BITTENCOURT T. N., « Combination of smeared
and discrete approches with the use of interface elements », European Congress on
Computational Methods in Applied Sciences and Engineering, 2000.
[GRA 00] GRAVOUIL A., Méthode multi-échelles en temps et en espace avec décomposition
de domaines pour la dynamique non-linéaire des structures, Thèse, LMT-Cachan, 2000.
[HUG 78] HUGUES T. J. R., LIU W. K., « Implict-Explicit Finite Element Transient Analysis
: Stability Theory », Journal of Applied Mechanics, vol. 45, 1978, p. 371-374.
[HUG 00] HUGUES T. J. R., BELYTSCHKO T., Nonlinear nite element analysis, ICE Division,
Zace Services Ltd., 2000.
[NIS 01] NISHIOKA T., TOKUDOME H., KINOSHITA M., « Dynamic fracture-path prediction
in impact fracture phenomena using moving nite element method based on Delaunay automatic
mesh generation », International Journal of Solids and Structures, vol. 38, 2001,
p. 5273-5301.
