Elastodynamics of a crack on the bimaterial interface

Engineering Analysis with Boundary Elements

Volumn 33, Issue 3, 2009, Pages 294-301

  Menshykov, Oleksandr V ^a   Menshykov, Vasyl A ^b   Guz, Igor A ^a  

^a UNIVERSITY OF ABERDEEN   (United Kingdom)

^b S P TIMOSHENKO INSTITUTE OF MECHANICS   (Ukraine)

Author keywords

Boundary integral equations; Harmonic loading; Interface crack; Stress intensity factors

Indexed keywords

ACOUSTIC FIELD MEASUREMENT; ASPHALT PAVEMENTS; CRACKS; HARMONIC ANALYSIS; INTEGRAL EQUATIONS; STRESS INTENSITY FACTORS; TENSILE STRENGTH;

BIMATERIAL INTERFACES; COMPRESSION WAVES; DYNAMIC STRESS INTENSITY FACTORS; ELASTO DYNAMICS; HARMONIC LOADING; INTERFACE CRACK; SHEAR MODES; SYSTEM OF LINEAR ALGEBRAIC EQUATIONS;

BOUNDARY INTEGRAL EQUATIONS;

EID: 58149526677     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2008.07.006     Document Type: Article

References (31)

1. Cherepanov G.P. Mechanics of brittle fracture (1979), McGraw-Hill, New York
2. Freund L.B. Dynamic fracture mechanics (1990), Cambridge University Press, Cambridge
3. Aliabadi MH, Rooke DP, editors. Numerical fracture mechanics. Southampton: Computational Mechanics Publications; Dordrecht: Kluwer Academic Publishers; 1991.
4. In: Aliabadi M.H., Brebbia C.A., and Parton V.Z. (Eds). Static and dynamic fracture mechanics (1994), Computational Mechanics Publications, Southampton
5. Zhang Ch., and Gross D. On wave motion in elastic solids with cracks (1998), Computational Mechanics Publications, Southampton
6. Mal A.K. Interaction of elastic waves with a penny-shaped crack. Int J Eng Sci 8 (1970) 381-388
7. Martin P.A. Diffraction of elastic waves by a penny-shaped crack. Proc R Soc A 378 (1981) 263-285
8. Martin P.A., and Rizzo F.J. On boundary integral equations for crack problems. Proc R Soc A 421 (1989) 341-355
9. Lin W., and Keer L.M. Scattering by a planar three-dimensional crack. J Acoust Soc Am 82 4 (1987) 1442-1448
10. Brebbia C.A., Telles J.C.F., and Wrobel L.C. Boundary element techniques: theory and applications in engineering (1984), Springer, Berlin, New York
11. Sladek J., and Sladek V. Dynamic stress intensity factors studied by boundary integro-differential equations. Int J Num Meth Eng 32 (1986) 919-928
12. Ugodchikov A.G., and Khutoryansky N.M. Boundary elements method in mechanics of deformable solid (1986), Izd. Kazan University, Kazan [in Russian]
13. Cruse T.A. Boundary element analysis in computational fracture mechanics (1988), Kluwer Academic Publishers, Boston
14. Balas J., Sladek J., and Sladek V. Stress analysis by boundary element methods (1989), Elsevier, Amsterdam
15. Ariza M.P., and Dominguez J. General BE approach for three-dimensional dynamic analysis. Eng Anal Bound Elem 26 (2002) 639-651
16. Martin P.A., Rizzo F.J., and Gonzalves I.R. On hypersingular boundary integral equations for certain problems in mechanics. Mech Res Commun 16 (1989) 65-71
17. Tanaka M., Sladek V., and Sladek J. Regularization techniques applied to boundary element method. Appl Mech Rev 47 (1994) 457-499
18. Kilic B., and Madenci E. Hypersingular integral equations for the solution of penny-shaped interface crack problems. J Mech Mater Struct 2 4 (2007) 729-751
19. Guz I.A., Menshykov O.V., and Menshykov V.A. Application of boundary integral equations to elastodynamics of an interface crack. Int J Fract 140 (2006) 277-284
20. Menshykov O.V., Guz I.A., and Menshykov V.A. Boundary integral equations in elastodynamics of interface crack. Philos Trans R Soc A 366 (2008) 1835-1839
21. Men'shikov V.A., Men'shikov A.V., and Guz I.A. Interfacial crack between elastic half-spaces under harmonic loading. Int Appl Mech 43 8 (2007) 865-873
22. Menshykov O.V., Menshykov V.A., and Guz I.A. The effect of frequency in the problem of interface crack under harmonic loading. Int J Fract 146 (2007) 197-202
23. Mossakovskii V.I., and Rybka M.T. Generalization of the Griffith-Sneddon criterion for the case of a nonhomogeneous body. J Appl Math Mech 28 6 (1964) 1277-1286
24. Goldstein R.W., and Vainshelbaum V.M. Axisymmetric problem of a crack at the interface of layers in a multi-layered medium. Int J Eng Sci 14 4 (1976) 335-352
25. Press W.H., Teukolsky S.A., Vetterling W.T., and Flannery B.P. Numerical recipes in fortran 77: the art of scientific computing (2003), Cambridge University Press, Cambridge
26. Zozulya V.V., and Gonzalez-Chi P.I. Dynamic fracture mechanics with contact interaction at the crack-edges. Eng Anal Bound Elem 24 (2000) 643-659
27. Guz A.N., and Zozulya V.V. Elastodynamic unilateral contact problems with friction for bodies with cracks. Int Appl Mech 38 8 (2002) 895-932
28. Menshykov O.V., and Guz I.A. Contact interaction of crack faces under oblique incidence of a harmonic wave. Int J Fract 139 (2006) 145-152
29. Guz A.N., Menshykov O.V., Zozulya V.V., and Guz I.A. Contact problem for the flat elliptical crack under normally incident shear wave. Comput Model Eng Sci 17 3 (2007) 205-214
30. Menshykov O.V., and Guz I.A. Effect of contact interaction of the crack faces for a crack under harmonic loading. Int Appl Mech 43 7 (2007) 809-815
31. Menshykov O.V., Menshykov V.A., and Guz I.A. The contact problem for an open penny-shaped crack under normally incident tension-compression wave. Eng Fract Mech 75 (2008) 1114-1126