Modeling of the Degradation of Elastic Properties due to the Evolution of Ductile Damage

Mathias Wallin (1) , Mattias Olsson (1) , Matti Ristinmaa (1)

1 Division of Solid Mechanics

An elasto-plastic constitutive model for porous materials is formulated within the thermodynamic framework. The formulation facilitates a natural modeling of damage as well as growth and the shrinkage of voids. Metal plasticity is used for demonstrating the possibilities of the formulation. The yield function employed is assumed to depend upon the void-volume fraction, whereas the free energy is dependent on a scalar damage field. To show the capabilities of the model the algorithmic constitutive equations are derived and implemented into a finite element program. It is shown that an extremely simple system involving only two scalar equations needs to be solved in the constitutive driver. Two numerical examples are considered: the necking of an axi-symmetric bar and localization in a notched specimen.

Mots clés: thermodynamics; ductile void growth; damage mechanics; thermodynamics.

Mathias Wallin, Mattias Olsson, Matti Ristinmaa. Modeling of the Degradation of Elastic Properties due to the Evolution of Ductile Damage. International Journal of Damage Mechanics, 2008, 17 (2), pp.149-172. ⟨10.1177/1056789506069468⟩. ⟨hal-00571163⟩