Abstract:The governing equations of diffusion in solids, undergoing finite deformation, are presented. Lagrangian and Eulerian descriptions are provided. The governing equations are particularly useful in cases of diffusion-driven degradation mechanisms ahead of cracks in metals, when crack tip blunting is not negligible. Emphasis is placed on hydrogeninduced embrittlement.
Abstract:The governing equation of non-mechanical energy flow in metals, undergoing finite deformation, is presented. The coupling of non-mechanical energy flow, mass diffusion and metal elastic-plastic deformation is rigorously taken into account. The analysis is particularly useful in cases of diffusion-driven degradation mechanisms ahead of stationary cracks or cracks initiating growth, under temperature variations.
Abstract:The governing equations of diffusion in solids, undergoing finite deformation, are presented. Lagrangian and Eulerian descriptions are provided. The governing equations are particularly useful in cases of diffusion-driven degradation mechanisms ahead of cracks in metals, when crack tip blunting is not negligible. Emphasis is placed on hydrogeninduced embrittlement.
An analytic relation for the terminal solid solubility of hydrogen in a stressed metal is derived, based on finite deformation theory. Phase transformation is assumed to be a reversible process, which occurs under local chemical equilibrium among hydride, metal and hydrogen in solid solution. Hydrogen terminal solid solubility depends on stress due to the interaction of the applied stress field with the field of the expanding hydride as well as due to the reduction of hydrogen chemical potential in solid solution, caused by hydrostatic stress. The present analysis is complementary to hydrideinduced embrittlement studies in metals, under conditions, which require the use of finite deformations.
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