Damage healing modeling

Voyiadjis, G., Shojaei, A., and Li, G. (2011) A thermodynamic consistent damage and healing model for self healing materials. International Journal of Plasticity, 27, 1025-1044. 

Darabi, M.K., Abu Al-Rub, R.K., and Little, D.N. (2012) A continuum damage mechanics framework for modeling micro-damage healing. International Journal of Solids and Structures, 49, 492-513. 

The first term of eq. (8.4) describes the increase of oxide film damage in the presence of aggressive species, whereas the second term corresponds to the self-healing of the oxide film. The diffusion of aggressive species out of the boundary layer into the electrolyte is considered in the first term of eq. (8.5). The second term describes lateral diffusion of aggressive species (diffusion constant D). The concentration of aggressive ions which is released by active pits is taken into account in the third term and is calculated from the thickness of the boundary layer d, the oxidation state n of the released metal cations, the Faraday constant F, the pit radius a, and the local current contributions Ik of all active pits. In the model the release of aggressive species corresponds to the amount of released metal cations. 

If LEC are damaged, they will attempt to heal by LEC apoptosis and fibroplasia (39, 42) Damage models include Bleomycin, LEC scratch, mechanical stretch, BAP and nanoparticles asbestos is proportional to vitamin C yellowing (42-47). This wiU stimulate Jun nuclear kinase (JNKl/2)... 

A structure evolving, damage-allowable thermoviscoplastic model has been developed and reasonably captured the most essential shape memory response of the SMP based syntactic foam during this process. A finite deformation, continuum constimtive model has been developed to study the thermomechanical behavior of the SMP based self-healing syntactic... 

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