Elastodynamic Analysis of Antiplane Anisotropic Interface Cracks
Publication: Journal of Engineering Mechanics
Volume 125, Issue 8
Abstract
The transient elastodynamic full-field response and the dynamic stress intensity factor of a semi-infinite interface crack lying between dissimilar anisotropic media subjected to a dynamic body force are investigated. At t = 0, a concentrated antiplane dynamic point loading is suddenly applied at Medium 1. The total wave field is due to the effect of this point loading and the scattering of the incident wave by the interface crack. We introduce a linear coordinate transformation that can transform the anisotropic interface crack problem to the isotropic case. The relationship between the problem of anisotropic material and the corresponding isotropic problem is established for shear stresses and displacement in a Cartesian coordinate system. Exact transient closed-form solutions for stresses and stress intensity factors are obtained. Numerical results for the time history of stresses and stress intensity factors during the transient process are discussed in detail.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bogy, D. B. (1972). “The plane solution for anisotropic elastic wedges under normal and shear loading.” J. Appl. Mech., 39(4), 1103–1109.
2.
Brock, L. M., and Achenbach, J. D. (1973). “Extension of an interface flaw under the influence of transient waves.” Int. J. Solids and Struct., 9(1), 53–68.
3.
de Hoop, A. T. ( 1958). “Representation theorems for the displacement in an elastic solid and their application to elastodynamic diffraction theory,” PhD dissertation, Technische hoegschool, Delft, The Netherlands.
4.
Freund, L. B. (1974). “The stress intensity factor due to normal impact loading of the faces of a crack.” Int. J. Engrg. Sci., 12(2), 179–189.
5.
Gotoh, H. (1967). “Some problems of bonded anisotropic plates with cracks along the bond.” Int. J. Fracture, 3(4), 253–265.
6.
Harris, J. G. (1980). “Diffraction by a crack of a cylindrical longitudinal pulse.” J. Appl. Mathematics and Phys., 31, 367–383.
7.
Ing, Y. S., and Ma, C. C. (1997). “Dynamic analysis of a propagating antiplane interface crack.”J. Engrg. Mech., ASCE, 123(8), 783–791.
8.
Kuo, M. K., and Cheng, S. H. (1991). “Elastodynamic responses due to anti-plane point impact loadings on the faces of an interface crack along dissimilar anisotropic materials.” Int. J. Solids and Struct., 28(6), 751–768.
9.
Ma, C. C. (1992). “Antiplane problems of monoclinic material.”J. Engrg. Mech., ASCE, 118(9), 1765–1782.
10.
Ma, C. C. (1996). “Relationship of anisotropic and isotropic materials for antiplane problems.” AIAA J., 34(11), 2453–2456.
11.
Ma, C. C., and Chen, S. K. (1993). “Exact transient analysis of an anti-place semi-infinite crack subjected to dynamic body forces.” Wave Motion, 17(2), 161–171.
12.
Ma, C. C., and Hour, B. L. (1989). “Analysis of dissimilar anisotropic wedges subjected to antiplane shear deformation.” Int. J. Solids Struct., 25(11), 1295–1309.
13.
Ma, C. C., and Huang, K. C. (1999). “Full field analysis of an anti-plane interface crack subjected to dynamic body forces.” Int. J. Solids and Struct., 36(2), 285–309.
14.
Ma, C. C., and Ing, Y. S. (1995). “Transient analysis of dynamic crack propagation with boundary effect.” J. Appl. Mech., 62(4), 1029–1038.
15.
Ma, C. C., and Luo, J. J. (1996). “Plane solutions of interface cracks in anisotropic dissimilar media.”J. Engrg. Mech., ASCE, 122(1), 30–38.
16.
Markenscoff, X., and Ni, L. (1984). “The transient motion of a screw dislocation in an anisotropic medium.” J. Elasticity, 14(1), 93–95.
17.
Noble, B. (1958). The Wiener-Hopf technique. Pergamon, Tarrytown, New York.
18.
Ting, T. C. T. (1986). “Explicit solution and invariance of the singularities at an interface crack in anisotropic composites.” Int. J. Solids and Struct., 22(9), 965–983.
19.
Ting, T. C. T. (1990). “Interface cracks in anisotropic bimaterials.” J. Mech. Phys. Solids, 38(4), 505–313.
20.
Tsai, C. H., and Ma, C. C. (1992). “Transient analysis of a semi-infinite crack subjected to dynamic concentrated forces.” J. Appl. Mech., 59(4), 804–811.
21.
Williams, M. L. (1959). “The stress around a fault or crack in dissimilar media.” Bull. Seismological Soc. of Am., 49(2), 199–204.
22.
Wu, K. C., and Chiu, Y. T. (1991). “Antiplane shear interface cracks in anisotropic bimaterials.” J. Appl. Mech., 58(2), 399–403.
Information & Authors
Information
Published In
History
Received: May 7, 1998
Published online: Aug 1, 1999
Published in print: Aug 1999
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.