Effect of friction of the crack faces for a linear crack under an oblique harmonic loading

International Journal of Engineering Science

Volumn 46, Issue 5, 2008, Pages 438-458

  Menshykov, Oleksandr V ^a,b   Menshykova, Maryna V ^a   Guz, Igor A ^a  

^a UNIVERSITY OF ABERDEEN   (United Kingdom)

^b S P TIMOSHENKO INSTITUTE OF MECHANICS   (Ukraine)

Author keywords

Contact interaction; Fracture dynamics; Friction; Harmonic load; Linear crack

Indexed keywords

BOUNDARY INTEGRAL EQUATIONS; FRACTURE MECHANICS; FRICTION; HARMONIC ANALYSIS;

CONTACT INTERACTION; FRACTURE DYNAMICS; HARMONIC LOAD; LINEAR CRACKS;

CRACKS;

EID: 41749086445     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2007.12.006     Document Type: Article

References (25)

1. Cherepanov G.P. Mechanics of Brittle Fracture (1979), Mc Graw Hill, New York
2. Zhang Ch., and Gross D. On Wave Propagation in Elastic Solids with Cracks (1998), Computational Mechanics Publications, Southampton, Boston
3. Graff K.F. Wave Motion in Elastic Solids (1991), Dover Publications, New York
4. Crouch S.L., and Starfield A.M. Boundary Element Method in Solid Mechanics (1983), George Allen & Unwin, London
5. Cruse T.A. Boundary Element Analysis in Computational Fracture Mechanics (1988), Kluwer Academic Publishers., Boston
6. Balas J., Sladek J., and Sladek V. Stress Analysis by Boundary Element Methods (1989), Elsevier, Amsterdam
7. Martin P.A., and Rizzo F.J. On boundary integral equations for crack problems. Proc. Royal Soc. A 421 (1989) 341-355
8. In: Aliabadi M.H., and Rooke D.P. (Eds). Numerical Fracture Mechanics (1991), Computational Mechanics Publications and Kluwer Academic Publishers
9. J. Dominguez, R. Gallego, Fundamentals of dynamics and BEM for dynamic fracture mechanics, in: M.H. Aliabadi, C.A. Brebbia, V.Z. Parton (Eds.), Static and Dynamic Fracture Mechanics, Computational Mechanics Publications, Southampton, 1994, pp. 235-310.
10. Dominguez J. Boundary Elements in Dynamics (1993), Computational Mechanics Publications, Southampton
11. Guz A.N., and Zozulya V.V. Contact interaction between crack edges under dynamic load. Int. Appl. Mech. 28 (1992) 407-414
12. Zozulya V.V., and Gonzalez-Chi P.I. Dynamic fracture mechanics with contact interaction at the crack-edges. Eng. Anal. Bound. Elements 24 (2000) 643-659
13. Guz A.N., and Zozulya V.V. Elastodynamic unilateral contact problems with friction for bodies with cracks. Int. Appl. Mech. 38 (2002) 895-932
14. Zozulya V.V., and Men'shikova M.V. Dynamic contact problem for a plane with a finite crack. Int. Appl. Mech. 38 (2002) 1459-1463
15. Men'shikov A.V., Men'shikova M.V., and Wendland W.L. On use of the Galerkin method to solve the fracture mechanics problem for a linear crack under normal loading. Int. Appl. Mech. 41 (2005) 1324-1329
16. Bing-Zheng G., and Qingcai Ch. BEM-analysis of interaction of elastic waves with unilateral interface crack. Commun. Numer. Meth. Eng. 17 (2001) 137-147
17. 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
18. Hirose S., and Achenbach J.D. Higher harmonics in the far field due to dynamic crack-face contacting. J. Acoust. Soc. Am. 93 (1993) 142-147
19. Smyshlyaev V.P., and Willis J.R. Linear and nonlinear scattering of elastic waves by microcracks. J. Mech. Phys. Solids 42 (1994) 585-610
20. 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 (2007) 809-815
21. 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
22. Chen E.P., and Sih G.C. Scattering waves about stationary and moving cracks. In: Sih G.C. (Ed). Mechanics of Fracture 4: Elastodynamic Crack Problems (1977), Noordhoff Intl. Publ., Leyden 119-212
23. Zhang Ch., and Gross D. The solution of plane problems of wave loaded cracks by an integral equation method. ZAMM 68 7 (1988) 299-305
24. Mistakidis E.S., and Stavroulakis G.E. Nonconvex optimization in mechanics. Algorithms, heuristics and engineering applications by FEM (1998), Kluwer Academic Publishers.
25. Abramowitz M., and Stegun I.A. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (1964), Dover, New York