Interface cracks in anisotropic dissimilar materials: general case
Authors:
L. Ni and S. Nemat-Nasser
Journal:
Quart. Appl. Math. 50 (1992), 305-322
MSC:
Primary 73M25; Secondary 73B40
DOI:
https://doi.org/10.1090/qam/1162278
MathSciNet review:
MR1162278
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Abstract: An interface crack in anisotropic dissimilar materials is considered for the general case where all three fracture modes may be coupled. Analytic solutions are obtained for two commonly used models of interface cracks: (1) the fully open crack; and (2) the Comninou model where, even under farfield tension normal to the crack face, the existence of very small contact zones near the crack tips is permitted. Conditions under which nonoscillatory singular solutions may exist, are discussed.
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A. K. Gautesen and J. Dundurs, The interface crack under combined loading, ASME J. Appl. Mech. 55, 580–586 (1988)
- L. Ni and S. Nemat-Nasser, Interface cracks in anisotropic dissimilar materials: an analytic solution, J. Mech. Phys. Solids 39 (1991), no. 1, 113–144. MR 1085625, DOI https://doi.org/10.1016/0022-5096%2891%2990033-K
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- T. C. T. Ting, Explicit solution and invariance of the singularities at an interface crack in anisotropic composites, Internat. J. Solids Structures 22 (1986), no. 9, 965–983. MR 865545, DOI https://doi.org/10.1016/0020-7683%2886%2990031-4
T. C. T. Ting, Interface cracks in anisotropic bimaterials, J. Mech. Phys. Solids 38, 505–513 (1990)
- T. C. T. Ting, Barnett-Lothe tensors and their associated tensors for monoclinic materials with the symmetry plane at $x_3=0$, J. Elasticity 27 (1992), no. 2, 143–165. MR 1151545, DOI https://doi.org/10.1007/BF00041647
J. R. Willis, Fracture mechanics of interface cracks, J. Mech. Phys. Solids 19, 353–368 (1971)
K.-C. Wu, Stress intensity factor and energy release rate for interface cracks between dissimilar anisotropic materials, ASME J. Appl. Mech. 57, 894–900 (1990)
M. Comninou, The interface crack, ASME J. Appl. Mech. 44, 631–636 (1977)
A. K. Gautesen and J. Dundurs, The interface crack in a tension field, ASME J. Appl. Mech. 54, 93–98 (1987)
A. K. Gautesen and J. Dundurs, The interface crack under combined loading, ASME J. Appl. Mech. 55, 580–586 (1988)
L. Ni and S. Nemat-Nasser, Interface crack in anisotropic dissimilar materials: an analytic solution, J. Mech. Phys. Solids 39, 113–144 (1991)
J. Qu and J. L. Bassani, Crack on bimaterial and bicrystal interfaces, J. Mech. Phys. Solids 37, 417–433 (1989)
Z. Suo, Singularities, interfaces and cracks in dissimilar anisotropic media, Proc. Roy. Soc. London Ser. A 427, 331–358 (1990)
T. C. T. Ting, Explicit solution and invariance of the singularities at an interface crack in anisotropic composites, Internat. J. Solids and Structures 22, 965–983 (1986)
T. C. T. Ting, Interface cracks in anisotropic bimaterials, J. Mech. Phys. Solids 38, 505–513 (1990)
T. C. T. Ting, Barnett-Lothe tensors and their associated tensors for monoclinic materials with the symmetry plane at ${x_3} = 0$ , J. Elasticity (to appear)
J. R. Willis, Fracture mechanics of interface cracks, J. Mech. Phys. Solids 19, 353–368 (1971)
K.-C. Wu, Stress intensity factor and energy release rate for interface cracks between dissimilar anisotropic materials, ASME J. Appl. Mech. 57, 894–900 (1990)
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Article copyright:
© Copyright 1992
American Mathematical Society