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Localization analysis for a dynamic two-scale damage model

In the present contribution a localization analysis is performed for a two-scale damage model in dynamics. The evolution laws for damage are motivated by results of asymptotic homogenization [1-3] and involve a characteristic length of the microstructure.

For the one dimensional dynamic system, we study the localization of damage by using analytical and numerical methods. An instability analysis based on harmonic perturbations of a homogeneous state for the linearized equations reveals wave dispersion properties and an intrinsic length of the model depending on the micro-structural length and the damage level.

Finite elements simulations in two and three spatial dimensions show the localization of damage and the specific influence of the size of the microstructure.


References

Dascalu, C., Bilbie, G., Agiasofitou E., 2008. Damage and size effect in elastic solids: a homogenization approach. Int. J. Solid Struct. 45, 409-430.

François B., Dascalu C., 2010, A two-scale time-dependent damage model based on non-planar growth of micro-cracks, J. Mech. Phys. Solids 58, 1928-1946.

Keita O., Dascalu, C., François B., 2014. A two-scale model for dynamic damage evolution. J. Mech. Phys. Solids. 64, 170-183.

Author(s):

Cristian Dascalu    
University of Lorraine, Metz
France