Cauvin, Alix; Testa, Rene B. Damage mechanics: Basic variables in continuum theories. (English) Zbl 0945.74007 Int. J. Solids Struct. 36, No. 5, 747-761 (1999). Summary: It is shown that any type of material damage that causes stiffness degradation in general requires description by an eighth-order damage tensor, but we also show that the principle of strain equivalence permits a reduction to a tensor of order four. The actual number of independent damage parameters in such a tensor is related to the material and damage symmetry. For the isotropic case, there must be two independent damage parameters which can be expressed in terms of damage parameter with physical meaning. Cited in 12 Documents MSC: 74A45 Theories of fracture and damage 74E10 Anisotropy in solid mechanics Keywords:fourth-order tensor; material symmetry; principle of strain equivalence; independent damage parameters; damage symmetry PDFBibTeX XMLCite \textit{A. Cauvin} and \textit{R. B. Testa}, Int. J. Solids Struct. 36, No. 5, 747--761 (1999; Zbl 0945.74007) Full Text: DOI