An Approach to Modeling Structural Materials with Low Hydrogen Concentration

Abstract

A general approach to modeling the effect of hydrogen on stress-strain diagram of materials is addressed. A bicontinua model is constructed which allows one to describe the kinetics of hydrogen in metals. The suggested rheological model is appropriate for estimation of the hydrogen transition from mobile to bounded state depending on the stress-state relation and description of localization of the bonded hydrogen that results in the material fracture. A novel approach to modeling the solids with account for the influence of hydrogen on properties of free surface on monocrystals at various scales is suggested. The idea of representing two continua as a single solid and describing the hydrogen effect on the material properties belongs to D. A. Indeitsev. It was first consistently presented in his work Indeitsev and Semenov (Acta Mechanica, 195:295–304, 2008, [32]). We see our task in generalization and application of his idea to specific problems and classes of problems in solid mechanics. We generalized the bicontinua model by Indeitsev to the multidimensional case. For the first time, we considered the dissolved hydrogen as the second medium and performed its simulation as an ideal gas. This made it possible to account for the temperature dependence of hydrogen. In the general, the present chapter is based upon the general approach by D. A. Indeitsev, whom the authors express their deep gratitude to.