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Part of the book series: NATO Science Series II: Mathematics, Physics and Chemistry ((NAII,volume 172))

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Abstract

The process of hydrogen absorption in a cylindrical cladding with residual stresses has been considered. The latter ones occur in the material of products when carrying out different technological operations. The level and character of the residual stresses distribution change kinetics of diffusion migration of hydrogen atoms. The process of hydrogen absorption is described by a non-stationary diffusion equation in the field of forces under corresponding initial and boundary conditions. The analytical relations for the field of hydrogen atoms concentration have been given. Possibility of decreasing the near-surface barrier for diffusion migration of the hydrogen atoms into the volume of the metal are discussed. The analytical analysis results are attracted for explaining physical mechanism of the hydrogen atoms absorption with the residual stresses.

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Abbreviations

C:

Hydrogen concentration

C1:

Hydrogen concentration with absorption from the inner surface

C2:

Hydrogen concentration with absorption from the outer surface

D:

Hydrogen diffusion coefficient

k:

Boltzmann’s constant

T:

Absolute temperature

C0:

Average concentration of hydrogen atoms

r0:

Inner cladding radius

R:

Outer cladding radius

μ:

Shear modulus

νl:

Poison’s ratio

ω:

Angle of rotation of the cladding cut edges

σ ll :

First invariant of the residual stresses tensor

ςν:

Change of metal volume when placing hydrogen atoms

C1p and C2p:

Equilibrium concentrations of hydrogen atoms on the inner and outer cladding surfaces

References

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© 2004 Kluwer Academic Publishers

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Vlasov, N.M., Fedik, I.I. (2004). Hydrogen Segregation in the Residual Stresses Field. In: Veziroglu, T.N., Yu. Zaginaichenko, S., Schur, D.V., Baranowski, B., Shpak, A.P., Skorokhod, V.V. (eds) Hydrogen Materials Science and Chemistry of Carbon Nanomaterials. NATO Science Series II: Mathematics, Physics and Chemistry, vol 172. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2669-2_40

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