Geodesic
On damage tensor in linear anisotropic elasticity
Theoretical and applied mechanics, Tome 44 (2017) no. 2.

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In this paper, the anisotropic linear damage mechanics is presented starting from the principle of strain equivalence. The authors have previously derived damage tensor components in terms of elastic parameters of undamaged (virgin) material in closed form solution. Here, making use of this paper, we derived elasticity tensor as a function of damage tensor also in closed form. The procedure we present here was applied for several crystal classes which are subjected to hexagonal, orthotropic, tetragonal, cubic and isotropic damage. As an example isotropic system is considered in order to present some possibility to evaluate its damage parameters.
Keywords: damage, anisotropic elasticity, elasticity 
@article{TAM_2017_44_2_a2,
     author = {Jovo Jari\'c and Dragoslav Kuzmanovi\'c},
     title = {On damage tensor in linear anisotropic elasticity},
     journal = {Theoretical and applied mechanics},
     pages = {141 - 154},
     publisher = {mathdoc},
     volume = {44},
     number = {2},
     year = {2017},
     url = {http://geodesic.mathdoc.fr/item/TAM_2017_44_2_a2/}
}
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Jovo Jarić; Dragoslav Kuzmanović. On damage tensor in linear anisotropic elasticity. Theoretical and applied mechanics, Tome 44 (2017) no. 2. http://geodesic.mathdoc.fr/item/TAM_2017_44_2_a2/