2D Elastodynamics of Interface Microcracks: The Effect of Cracks Interaction
Source abstract
Abstract
The study is devoted to a 2D problem for interface cracks under harmonic external loading. The system of boundary integral equations for displacements and tractions is derived from the dynamic Somigliana identity. The distributions of the displacements and tractions at the bonding interface and the surface of the cracks are analysed for the normally incident tension-compression wave. The dynamic stress intensity factors are also computed for different values of the frequency of the incident wave and the distance between cracks. The effect of distance between cracks on the solution of the problem is studied.
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Research context
OpenAlex topics: Numerical methods in engineering · Contact Mechanics and Variational Inequalities · Elasticity and Wave Propagation
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References (42)
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1. Aliabadi, M.H., Rook, D.P.: Numerical Fracture Mechanics. Computational Mechanics Publications and Kluwer Academic Publishers, Southampton (1991)10.1007/978-94-011-3360-9 ↗
2. Callister Jr., W.D.: Materials science and engineering: an introduction, 5th edn. Wiley, NY (2000)
3. Martin P.: Multiple scattering. Interaction of time-harmonic waves with N obstacles. Cambridge University Press (2006)10.1017/CBO9780511735110 ↗
4. Mossakovskii, V.I., Rybka, M.T.: Generalization of the Griffith-Sneddon criterion for the case of a nonhomogeneous body. J. Appl. Math. Mech. 28(6), 1277–1286 (1964)10.1016/0021-8928(64)90039-5 ↗
5. Goldstein, R.W., Vainshelbaum, V.M.: Axisymmetric problem of a crack at the interface of layers in a multi-layered medium. Int. J. Eng. Sci. 14(4), 335–352 (1976)10.1016/0020-7225(76)90007-0 ↗
6. Kilic, B., Madenci, E., Mahajan, R.: Energy release rate and contact zone in a cohesive and an interface crack by hypersingular integral equations. Int. J. Solids Struct. 43, 1159–1188 (2006)10.1016/j.ijsolstr.2005.06.005 ↗
7. Wünsche, M., Zhang, Ch, Sladek, J., Sladek, V., Hirose, S., Kuna, M.: Transient dynamic analysis of interface cracks in layered anisotropic solids under impact loading. Int. J. Fract. 157(1–2), 131–147 (2009)10.1007/s10704-008-9262-y ↗
8. Mykhas’kiv, V., Stankevych, V., Zhbadynskyi, I., Zhang, Ch: 3-D dynamic interaction between a penny-shaped crack and a thin layer joining two elastic half-spaces. Int. J. Fract. 159(2), 137–149 (2009)10.1007/s10704-009-9390-z ↗
9. Balas, S., Sladek, J., Sladek, V.: Stress Analysis by Boundary Element Methods. Elsevier, Amsterdam (1989)
10. Zhang, Ch, Savaidis, A.: Time-domain BEM for dynamic crack analysis. Math. Comput. Simul 50, 351–362 (1999)10.1016/S0378-4754(99)00077-4 ↗
11. Mykhas’kiv, V., Zhang, Ch, Sladek, J., Sladek, V.: A frequency-domain BEM for non-synchronous crack interaction analysis in elastic solids. Eng. Anal. Bound. Methods 30, 167–175 (2006)10.1016/j.enganabound.2005.04.014 ↗
12. Garcia-Sanchez, F., Zhang, Ch: A comparative study of three BEM for transient dynamic crack analysis of 2-D anisotropic solids. Comput. Mech. 40, 753–769 (2007)10.1007/s00466-006-0137-7 ↗
13. Qu, J.: Interface crack loaded by a time-harmonic plane wave. Int. J. Solids Struct. 31(3), 329–345 (1994)10.1016/0020-7683(94)90110-4 ↗
14. Menshykova, M.V., Menshykov, O.V., Guz, I.A.: Linear interface crack under plane shear wave. CMES: Comput. Model. Eng. Sci. 48(2), 107–120 (2009)
15. Kurylyak, D.B., Nazarchyk, Z.T., Voitko, M.V.: Stress field in a crack on the interface of materials irradiated with SH-waves. Mater. Sci. 43(4), 464–478 (2007)10.1007/s11003-007-0055-7 ↗
16. Loeber, J.F., Sih, G.C.: Transmission of anti-plane shear waves past an interface crack in dissimilar media. Eng. Fract. Mech. 5, 699–725 (1973)10.1016/0013-7944(73)90048-9 ↗
17. Zhang, Ch: Dynamic stress intensity factors for periodically spaced collinear antiplane shear cracks between dissimilar media. Theor. Appl. Fract. Mech. 15, 219–227 (1991)10.1016/0167-8442(91)90020-K ↗
18. Itou, S.: Transient analysis of stress waves around two coplanar Griffith cracks under impact load. Eng. Fract. Mech. 13, 349–356 (1980)10.1016/0013-7944(80)90064-8 ↗
19. Zhang, Ch, Achenbach, J.D.: Time-domain boundary element analysis of dynamic near-tip fields for impact-loaded collinear cracks. Eng. Fract. Mech. 32(6), 899–909 (1989)10.1016/0013-7944(89)90006-4 ↗
20. Zhang, Ch, Chen, X., Li, Z.: Interaction of elastic waves with a periodic array of collinear inplane cracks. Acta Mech. Sin. 8(4), 328–335 (1992)10.1007/BF02487172 ↗
21. Chen, B., Gross, D.: Interaction of two coplanar penny-shaped cracks with transient elastic waves. Wave Motion 26, 69–83 (1997)10.1016/S0165-2125(97)00011-5 ↗
22. Kit, H.S., Khaj, M.V., Mykhas’kiv, V.V.: Analysis of dynamic stress concentration in an infinite body with parallel penny-shaped cracks by BIEM. Eng. Fract. Mech. 55(2), 191–207 (1996)10.1016/0013-7944(96)00003-3 ↗
23. Menshykov, O.V., Guz, I.A.: Elastodynamic problem for two penny-shaped cracks: the effect of cracks’ closure. Int. J. Fract. 153(1), 69–76 (2008)10.1007/s10704-008-9282-7 ↗
24. Guz, A.N., Zozulya, V.V.: Fracture mechanics with allowance for a crack edges contact interaction. Int. J. of Nonlinear Sci. & Numer. Simul. 2(3), 173–233 (2001)
25. Dineva, P., Gross, D., Rangelov, T.: Dynamic behavior of a bi-material interface-cracked plate. Eng. Fract. Mech. 69, 1193–1218 (2002)10.1016/S0013-7944(01)00135-7 ↗
26. Chen, Z.T.: Interfacial coplanar cracks in piezoelectric bi-material systems under pure mechanical impact loading. Int. J. Solids Struct. 43, 5085–5099 (2005)10.1016/j.ijsolstr.2005.07.017 ↗
27. Guz, I.A., Menshykov, O.V., Menshykov, V.A.: Application of boundary integral equations to elastodynamics of an interface crack. Int. J. Fract. 140, 277–284 (2006)10.1007/s10704-006-0108-1 ↗
28. Menshykov, O.V., Guz, I.A., Menshykov, V.A.: Boundary integral equations in elastodynamics of interface crack. Philos. Trans. R. Soc. A 366, 1835–1839 (2008)10.1098/rsta.2007.2190 ↗
29. Mykhailova, I.I, Menshykov, O.V., Menshykova, M.V., Guz, I.A.: Boundary integral equations for an interface linear crack under harmonic loading, Journal of Computational and Applied Mathematics. (2009) in press: doi: 10.1016/j.cam.2009.08.08410.1016/j.cam.2009.08.084 ↗
30. Menshykov, O.V., Menshykov, V.A., Guz, I.A.: The effect of frequency in the problem of interface crack under harmonic loading. Int. J. Fract. 146, 197–202 (2007)10.1007/s10704-007-9157-3 ↗
31. Menshykov, V.A., Menshykov, A.V., Guz, I.A.: Interfacial crack between elastic half-spaces under harmonic loading. Int. Appl. Mech. 43(8), 865–873 (2007)10.1007/s10778-007-0087-6 ↗
32. Men’shikov, V.A., Men’shikov, A.V., Guz, I.A.: Passages to the limit in the dynamic problem for a crack at the interface between elastic media. Int. Appl. Mech. 44(7), 739–746 (2008)10.1007/s10778-008-0087-1 ↗
33. Guz, A.N., Guz, I.A., Men’shikov, A.V., Men’shikov, V.A.: Penny-shaped interface crack under shear wave. Int. Appl. Mech. 45(5), 534–539 (2009)10.1007/s10778-009-0206-7 ↗
34. Menshykov, O.V., Menshykov, V.A., Guz, I.A.: Elastodynamics of a crack on the bimaterial interface. Eng. Anal. Boundary Elem. 33, 294–301 (2009)10.1016/j.enganabound.2008.07.006 ↗
35. Guz, A.N., Zozulya, V.V.: Elastodynamic unilateral contact problems with friction for bodies with cracks. Int. Appl. Mech. 38, 895–932 (2002)10.1023/A:1021266113662 ↗
36. Guz, A.N., Menshykov, O.V., Zozulya, V.V.: Surface contact of elliptical crack under normally incident tension-compression wave. Theor. Appl. Fract. Mech. 40(3), 285–291 (2003)10.1016/j.tafmec.2003.09.004 ↗
37. Menshykov, O.V., Guz, I.A.: Contact interaction of crack faces under oblique incidence of a harmonic wave. Int. J. Fract. 139, 145–152 (2006)10.1007/s10704-006-8372-7 ↗
38. Menshykov, O.V., Guz, I.A.: Effect of contact interaction of the crack faces for a crack under harmonic loading. Int. Appl. Mech. 43(7), 809–815 (2007)10.1007/s10778-007-0082-y ↗
39. Zozulya, V.V.: Stress intensity factor in a contact problem for a plane crack under an antiplane shear wave. Int. Appl. Mech. 43(9), 1043–1047 (2007)10.1007/s10778-007-0105-8 ↗
40. Menshykov, O.V., Menshykov, V.A., Guz, I.A.: The contact problem for an open penny-shaped crack under normally incident tension-compression wave. Eng. Fract. Mech. 75, 1114–1126 (2008)10.1016/j.engfracmech.2007.04.017 ↗
41. Menshykov, O.V., Menshykova, M.V., Guz, I.A.: Effect of friction of the crack faces for a linear crack under an oblique harmonic loading. Int. J. Eng. Sci. 46, 438–458 (2008)10.1016/j.ijengsci.2007.12.006 ↗
42. Menshykova, M.V., Menshykov, O.V., Guz, I.A.: Modelling crack closure for an interface crack under harmonic loading. International Journal of Fracture. (2010): in press, doi: 10.1007/s10704-010-9492-710.1007/s10704-010-9492-7 ↗