I've been working on/off with problems of environmentally assisted cracking, primarily in the fracture mechanics side of things and on occation some damage mechanics work. As a continuation for this I started looking for plasticity models which introduce the effects of hydrogen directly into typical models of incremental plasticity, and so far the one I've available as a complete implementation is given by Sofronis et al, in which the hydrogen concentration is introduced to stress-strain behavior as :(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\sigma_y(\epsilon_p,c)=\sigma_0[(\gamma-1)c+1](1+\frac{\epsilon_p}{\epsilon_0})^{1/n}

[/tex]

(local hydrogen enhances dislocation mobility -> flow stress decreases), where the yield strength [tex]\sigma_y[/tex] is dependent on the concentration [tex]c[/tex], effective plastic strain [tex]\epsilon_p[/tex], [tex]\gamma[/tex] is a softening parameter, [tex]\epsilon_0[/tex] the yield strain and [tex]\sigma_0[/tex] the yield strength for [tex] c = 0 [/tex]. The model has a number of other parameter ranging from dislocation density to specification to lattice traps etc.

So the question I'm thinking about now is what else is out there, anyone got any experience on what material models are out there and might be usable considering linkage to damage / fracture mechanics ?

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# Implementing hydrogen effects in constitutive modeling of metal plasticity

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