A. K. Belyaev, V. A. Polyanskiy, Yu. A. Yakovlev
Price: 50 руб.
The paper concentrates on the study of hydrogen diffusion in vibrating systems on the example of a structure that consists of two parts weakly coupled by an imperfect interface. Hydrogen distribution due to hydrogen diffusion in a system subjected to a
single-frequency harmonic vibration was analyzed. It was demonstrated that the governing equation for one-dimensional diffusion is reduced to a generalized Mathieu equation. A closed form expression of the boundaries of principle instability regions was obtained and a safe level of external harmonic load, under which the system exposes no instability, was determined.
Keywords: vibration, hydrogen diffusion, Mathieu equation, instability chart.
REFERENCES
1. Belyaev, A.K., Indeitsev, D.A., Polyanskiy, V.A., & Sukhanov, A.A. Theoretical
Model for the Hydrogen-Material Interaction as a Basis for Prediction of the Material
Mechanical Properties. Sandia National Laboratory, Albuquerque, 2009.
2. Belyaev, A.K., & Langley, R.S. (Eds.), IUTAM Symposium on the Vibration
Analysis of Structures with Uncertainties. Springer-Verlag, 2010.
3. Belyaev, A.K., Polyanskiy, A.M., Polyanskiy, V.A., & Yakovlev, Yu.A. Parametric
instability in cyclic loading as the cause of fracture of hydrogenous materials. Mechanics of Solids, 2012, 47 (5), 533–537.
4. Belyaev, A.K., Polyanskiy, V.A., & Yakovlev, Yu.A. Stresses in a pipeline affected
by hydrogen. Acta Mechanica, 2012, 223 (8), 1611–1619.
5. Birnbaum, H.K., & Sofronis, P. Hydrogen-enhanced localized plasticity alpha
mechanism for hydrogen-related fracture. Materials Science and Engineering, 1994,
A 176 (1–2), 191–202.
6. Bolotin, V.V. Nonconservative problems of the theory of elastic stability. Macmillan, 1963.
7. Delafosse, D., & Magnin, T. Hydrogen induced plasticity in stress corrosion cracking of engineering systems. Engineering Fracture Mechanics, 2001, 68 (6), 693–729.
8. Gorsky, W. Theorie der elastischen Nachwirkung in ungeordneten Mischkristallen
(elastische Nachwirkung zweiter Art). Sow. Phys., 1935, 8, 457–471.
9. Gorsky, W. Theorie der Ordnungsprozesse und der Diffusion in Mischkristallen
von CuAu. Sow. Phys, 1935, 8, 443–456.
10. Indeitsev, D.A., & Semenov, B.N. About a model of structural-phase transformations under hydrogen in fl uence. Acta Mechanica, 2008, 195 (1–4), 295–304.
11. Irschik, H., & Holl, H.J. Lagrange’s equations for open systems, derived via the
method of fi ctitious particles, and written in the Lagrange description of continuum
mechanics. Acta Mechanica, 2014, 1–17.
12. Irschik, H. On rational treatments of the general laws of balance and jump, with
emphasis on con fi gurational formulations. Acta Mechanica, 2007, 194 (1–4), 11–32.
13. Sofronis, P., Liang, Y., & Aravas, N. Hydrogen induced shear localization of
the plastic fl ow in metals and alloys. European Journal of Mechanics, 2001, A/Solids
20 (6), 857–872.
14. Van Leeuwen, H.P. The kinetics of hydrogen embrittlement: A quantitative diffusion model. Engineering Fracture Mechanics, 1974, 6 (1), 141–161.
