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The paper presents a method for quantitative characterization of random hydrogen-induced stresses. The method is based on randomized diffusion-elasticity equations. Also a stochastic parametric model, suitable for representing relevant empirical data, is outlined. The general considerations are illustrated by two particular examples. The first one concerns the effect of random hydrogen concentration on material failure time in a half-space, whereas the second one shows its effect on the ModeI stress intensity factor for a crack in a circular cylinder.
Czasopismo
Rocznik
Tom
Strony
559--579
Opis fizyczny
Bibliogr. 22 poz.
Twórcy
autor
autor
- Institute of Fundamental Technological Research Polish Academy of Sciences Swiętokrzyska 21, 00-049 Warsaw, Poland
Bibliografia
- 1. D. J. UNGER, A mathematical analysis of impending hydrogen-assisted crack propagation, Eng. Fract. Mech., 34, 3, 657-667, 1989.
- 2. A. GLOWACKA, W. A. SWIATNICKI, Effect of hydrogen charging on the micro structure of duplex stainless steels, J. Alloys and Compounds, 356-357, 701-704, 2003.
- 3. P. SOFRONIS, R. M. McMEEKlNG, Numerical analysis of hydrogen transport near a blunting crack tip, J. Mech. Phys. Solids, 37, 3, 317-350, 1989.
- 4. R. A. ORIANI, P. H. JOSEPHIC, Equilibrium and kinetic studies of the hydrogen-assisted cracking of steel, Acta Metall., 25, 979-988, 1977.
- 5. B. A. B. ANDERSON, Hydrogen-induced crack propagation in a QT-steel weldment, J. Eng. Materials and Technology, 104, 249-256, 1982.
- 6. J.-S. WANG, The thermodynamical aspects of hydrogen-induced embrittlement, Eng. Fract. Mech., 68, 647-669, 2001.
- 7. K. SOBCZYK, D. J. KIRKNER, Stochastic modeling of micro structures, Birkhauser, Boston, 2001.
- 8. K. SOBCZYK, Stochastic differential equations with applications to physics and engineering, Kluwer Academic Publishers, Dodrecht, 1991.
- 9. K. SOBCZYK, J. TREBICKI, A. B. MOVCHAN, Characterization of random micro structural stresses and fracture estimation, Eur. J. Mech. - A/Solids, 26, 4, 573-591, 2007.
- 10. R. B. HETNARSKI, J. IGNACZAK, Mathematical theory of elasticity, Taylor and Francis, New York, 2004.
- 11. K. SOBCZYK, J. TREBICKI, Fatigue crack growth in random residual stresses, Int. J. Fatigue, 26, 1179-1187, 2004.
- 12. O. ONICESCU, V. I. ISTRATESCU, Approximation theorems for random functions, Redi-conti Matem., 8, 65-81, 1975.
- 13. H. D. Madsen, S. Krenk, N. C. Lind, Methods of structural safety, Prentice Hall, Engle-wood Cliffs, NJ, 1986.
- 14. Y. K. BELAYEV, On the number of exits across the boundary of a region by a vector stochastic process, Theo. Prob. AppL, 13, 320-324, 1968.
- 15. T. T. SOONG, M. GRIGORIU, Random vibration of mechanical and structural systems, Prentice Hall, 1992.
- 16. K. SOBCZYK, B. F. SPENCER, Random, fatigue: from data to theory, Academic Press, Boston, 1992.
- 17. B. Paul, Macroscopic criteria for plastic flow and brittle fracture in Fracture: an advanced treatise, Vol. II, H. Liebowitz, [Ed.], 313-496, Academic Press, New York, 1968.
- 18. T. BOELLINGHAUS, H. HoFFMEiSTER, A. DANGELEIT, A scatterband for hydrogen diffusion coefficients in micro-alloyed and low carbon structural steels, Welding in the World, 35, 2, 83-96, 1995.
- 19. J. HlRTH, Effects of hydrogen on the properties of iron and steel, Metall. Trans., 11A, 861-890, 1980.
- 20. C. SAN MARCHI, B. P. SOMERDAY, S. L. ROBINSON, Permeability, solubility and diffusiv-ity of hydrogen isotopes in stainless steels at high gas pressures, Int. J. Hydrogen Energy, 32, 100-116, 2007.
- 21. W. NOWACKI, Z. S. OLESIAK, Termodyfuzja w ciałach stalych (Thermo-diffusion in solids), PWN, Warszawa, 1991 (in Polish).
- 22. G. C. SIH, Handbook of stress intensity factors, Institute of Fracture and Solid Mechanics, Lehigh University, Bethlehem, Pennsylvania, 1973.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT7-0008-0030