Open AccessOn damage tensor in linear anisotropic elasticity
Author(s) -
Jovo Jarić,
Dragoslav S. Kuzmanović
Publication year - 2017
Publication title -
theoretical and applied mechanics/theoretical and applied mechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.279
H-Index - 6
eISSN - 2406-0925
pISSN - 1450-5584
DOI - 10.2298/tam170306018j
Subject(s) - orthotropic material , isotropy , anisotropy , elasticity (physics) , tensor (intrinsic definition) , linear elasticity , tetragonal crystal system , materials science , hooke's law , mathematical analysis , classical mechanics , mathematics , physics , geometry , composite material , optics , thermodynamics , quantum mechanics , finite element method , phase (matter)
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.