Abstract
We present an efficient numerical scheme specially developed to simulate a wide variety of dynamic debonding problems under anti-plane shear loading conditions. The algorithm is based on an exact spectral representation of the elastodynamic relations between the interface stresses and displacements. It involves an explicit time stepping scheme with, for each time step, the use of FFT to link the spatial and spectral domains, and the computation of a convolution over the past displacement or velocity history. Two versions of the spectral algorithm are presented: in the first one, the elastodynamic response of each half space is investigated separately before the two solutions are linked with the aid of the interface continuity conditions. In the second approach, the interface conditions and the modulus mismatch are combined in a single bimaterial elastodynamic relation. Various problems involving stationary or rapidly moving interfacial cracks are investigated and contrasted with existing analytical results.
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References
Adams, G.G. (1995). Self-excited oscillations of two elastic half-spaces sliding with a constant coefficient of friction. Journal of Applied Mechanics 62(4), 867–872.
Andrews, D.J. and Ben-Zion, Y. (1997). Wrinkle-like slip pulse on a fault between different materials. Journal of Geophysical Research 102, 553–571.
Atkinson, C. (1977). Dynamic crack problems in dissimilar media. Mechanics of Fracture 4: Elastodynamic Crack Problems, (Edited by G.C. Sih), Noordhoff, Leyden, 213–248.
Breitenfeld, M.S. and Geubelle, P.H. (1997). Numerical analysis of dynamic debonding under 2D in-plane and 3D loading. Submitted to International Journal of Fracture.
Brock, L.M. and Achenbach, J.D. (1973). Extension of an interface flaw under the influence of transient waves. International Journal of Solids and Structures 9, 53–68.
Comninou, M. (1977). The interface crack. Journal of Applied Mechanics 44, 631–636.
Day, S.M. (1991). Numerical simulation of fault propagation with interface separation. EOS Transactions of the American Geophysics Union 72, 486.
Delale, F. and Erdogan, F. (1988). On the mechanical modeling of the interfacial region in bonded half planes. Journal of Applied Mechanics 55, 317–324.
Geubelle, P.H. (1995). Finite deformation effects in homogeneous and interfacial fracture. International Journal of Solids and Structures 32(6/7), 1003–1016.
Geubelle, P.H. and Rice, J.R. (1995). A spectral method for 3D elastodynamic fracture problems. Journal of the Mechanics and Physics of Solids 43, 1791–1824.
Knowles, J.K. and Sternberg, E. (1983). Large deformations near the tip of an interface crack between two neo-Hookean sheets. Journal of Elasticity 13, 257–293.
Lambros, J. and Rosakis, A.J. (1995). Shear dominated transonic interfacial crack growth in a bimaterial — I. Experimental observations. Journal of the Mechanics and Physics of Solids 43(2), 169–188.
Liu, C., Lambros, J. and Rosakis, A.J. (1993). Highly transient elastodynamic crack growth in a bimaterial interface: higher order asymptotic analysis and optical experiments. Journal of the Mechanics and Physics of Solids 41(12), 1887–1954.
Liu, C., Huang, Y. and Rosakis, A.J. (1995). Shear dominated transonic interfacial crack growth in a bimaterial — II. Asymptotic fields and favorable velocity regimes. Journal of the Mechanics and Physics of Solids 43(2), 189–206.
Lo, C.Y., Nakamura, T. and Kushner, A. (1994). Computational analysis of dynamic crack propagation along a bimaterial interface. International Journal of Solids and Structure 31(2), 145–168.
Morrissey, J.W. and Geubelle, P.H. (1997). A numerical scheme for mode III dynamic fracture problems. International Journal for Numerical Methods in Engineering 40, 1181–1196.
Perrin, G., Rice, J.R. and Zheng, G. (1994). Self-healing slip pulse on a frictional surface. Journal of the Mechanics and Physics of Solids 43, 1461–1495.
Rice, J.R. (1988). Elastic fracture mechanics concepts for interfacial cracks. Journal of Applied Mechanics 55, 98–103.
Tippur, H.V. and Rosakis, A.J. (1991). Quasi-static and dynamic crack growth along bimaterial interfaces: a note on crack-tip measurements using coherent gradient sensing. Experimental Mechanics 31(3), 243–251.
Williams, M.L. (1959). The stress around a fault or crack in dissimilar media. Bulletin of the Seismological Society of America 49, 199–204.
Xu, X.-P. and Needleman, A. (1995). Numerical simulations of dynamic interfacial crack growth allowing for crack growth away from the bond line. International Journal of Fracture 74, 253–275.
Xu, X.-P. and Needleman, A. (1996). Numerical simulations of dynamic crack growth along an interface. International Journal of Fracture 74, 289–324.
Yang, W., Suo, Z. and Shih, C.F. (1991). Mechanics of dynamic debonding. Proceedings of the Royal Society (London) A433, 679–697.
Yu, H. and Yang, W. (1994). Mechanics of transonic debonding of a bimaterial interface: the anti-plane case. Journal of the Mechanics and Physics of Solids 42(11), 1789–1802.
Yu, H. and Yang, W. (1995). Mechanics of transonic debonding of a bimaterial interface: the in-plane case. Journal of the Mechanics and Physics of Solids 43(2), 207–232.
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Geubelle, P.H., Breitenfeld, M.S. Numerical analysis of dynamic debonding under anti-plane shear loading. International Journal of Fracture 85, 265–282 (1997). https://doi.org/10.1023/A:1007498300031
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DOI: https://doi.org/10.1023/A:1007498300031