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Języki publikacji
Abstrakty
A relation connecting stress intensity factors (SIF) with displacement intensity factors (DIF) at the crack front is derived by solving a pseudodifferential equation connecting stress and displacement discontinuity fields for a plane crack in an elastic anisotropic medium with arbitrary anisotropy. It is found that at a particular point on the crack front, the vector valued SIF is uniquely determined by the corresponding DIF evaluated at the same point.
Rocznik
Tom
Strony
212--218
Opis fizyczny
Bibliogr. 18 poz., wykr.
Twórcy
autor
- Ishlinsky Institute for Problems in Mechanics, Moscow, RUSSIA
- Bauman Moscow State Technical University, Moscow, RUSSIA
- Moscow State University of Civil Engineering, Moscow, RUSSIA
autor
- Moscow State University of Civil Engineering, Moscow, RUSSIA
Bibliografia
- [1] Zehnder A. (2012): Fracture Mechanics.− Springer.
- [2] Tada H., Paris P.C. and Irwin G.R. (1985): The stress analysis of cracks handbook.− 2nd Ed. Paris Productions Inc., St. Louis.
- [3] Kuznetsov S.V. (1996): On the operator of the theory of cracks.− C. R. Acad. Sci. Paris, vol.323, pp.427-432.
- [4] Goldstein R.V. and Kuznetsov S.V. (1995): Stress intensity factors for half-plane crack in an anisotropic elastic medium.− C. R. Acad. Sci. Paris, vol.320. Ser. IIb, pp.165-170.
- [5] BrennerA.V. and Shargorodsky E.M. (1997): Boundary value problems for elliptic pseudodifferential operators. − In: Agranovich M.S., Egorov Y.V., Shubin M.A. (eds) Partial Differential Equations IX. Encyclopaedia of Mathematical Sciences, vol.79. Springer, Berlin.
- [6] Papadopoulos G.A. (1993): Theory of Cracks. − In: Fracture Mechanics. Springer, London.
- [7] Duduchava R. and Wendland W.L. (1995): The Wiener-Hopf method for systems of pseudodifferential equations with an application to crack problems. − Integral Equations and Operator Theory,vol.23,pp.294-335.
- [8] Kapanadze D. and Schulze B.W. (2003): Crack Theory and Edge Singularities.− Netherlands: Springer.
- [9] Buchukuri T., Chkadua O. and Duduchava R. (2004): Crack-type boundary value problems of electro-elasticity. − In: Gohberg I., Wendland W., Ferreira dos Santos A., Speck FO., Teixeira F.S. (eds) Operator Theoretical Methods and Applications to Mathematical Physics. Operator Theory: Advances and Applications, vol.147. Birkhäuser, Basel.
- [10] Treves F. (1982): Introduction to Pseudodifferential and Fourier Integral Operators. 1. Pseudodifferential Operators. − Plenum Press, N.Y. and London.
- [11] Shubin M.A. (2001): Pseudodifferential Operators and Spectral Theory. − Berlin: Springer.
- [12] Duduchava R. (1979): Singular Integral Equations with Fixed Singularities.− Leipzig: Teubner.
- [13] Kupradze V., Gegelia T., Basheleisvili M. and Burchuladze T. (1979): Three-Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity. − Amsterdam: North Holland.
- [14] Duduchava R., Natroshvili D. and Schargorodsky E. (1989): On the continuity of generalized solutions of boundary value problems of the mathematical theory of cracks. − Bulletin of the Georgian Academy of Sciences,vol.135, pp.497-500.
- [15] Kuznetsov S.V. (1995): Direct boundary integral equation method in the theory of elasticity. − Quart. Appl. Math., vol.53, pp.1-8.
- [16] Kuznetsov S.V. (2005): Fundamental and singular solutions of equilibrium equations for media with arbitrary elastic anisotropy.− Quart. Appl. Math., vol.63, pp.455-467.
- [17] Gurtin M.E. (1972): The Linear Theory of Elasticity. − In: Handbuch der Physik, Bd. VIa/2, Springer, Berlin, 1-295.
- [18] Kuznetsov S.V. (2005): "Forbidden" planes for Rayleigh waves. − Quart. Appl. Math., vol.60, pp.87-97.
Uwagi
PL
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-aee149e4-b536-4fa9-b7c3-a50c201f12be