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TECHNICAL PAPERS

Quasi-Static Propagation of Subinterfacial Cracks

[+] Author and Article Information
H. Lee

Research Fellow in Aeronautics, California Institute of Technology, Pasadena, CA 91125

S. Krishnaswamy

Department of Mechanical Engineering, Northwestern University, Evanston, IL 60208-3030   e-mail: s-krishnaswamy@nwu.edu

J. Appl. Mech 67(3), 444-452 (Jan 11, 2000) (9 pages) doi:10.1115/1.1311275 History: Received May 18, 1999; Revised January 11, 2000
Copyright © 2000 by ASME
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References

Williams,  M. L., 1959, “The Stresses Around a Fault or Crack in Dissimilar Media,” Bull. Seismol. Soc. Am., 49, pp. 199–204.
Sih,  G. C., and Rice,  J. R., 1964, “The Bending of Plates of Dissimilar Materials With Cracks,” ASME J. Appl. Mech., 31, pp. 477–482.
Rice,  J. R., and Sih,  G. C., 1965, “Plane Problems of Cracks in Dissimilar Media,” ASME J. Appl. Mech., 32, pp. 418–423.
England,  A. H., 1965, “A Crack Between Dissimilar Media,” ASME J. Appl. Mech., 32, pp. 400–402.
Erdogan,  F., 1965, “Stress Distribution in Bonded Dissimilar Materials With Cracks,” ASME J. Appl. Mech., 32, pp. 403–410.
Comninou,  M., 1977, “The Interface Crack,” ASME J. Appl. Mech., 44, pp. 631–636.
Comninou,  M., and Dundurs,  J., 1980, “On the Behavior of Interface Cracks,” Res. Mech., 1, pp. 249–264.
Knowles,  J. K., and Sternberg,  E., 1983, “Large Deformation Near a Tip of an Interface Crack Between Two Neo-Hookean Sheets,” J. Elast., 13, pp. 257–293.
Rice,  J. R., 1988, “Elastic Fracture Mechanics Concepts for Interfacial Cracks,” ASME J. Appl. Mech., 55, pp. 98–103.
Shih,  C. F., and Asaro,  R., 1990, “Elastic-Plastic and Asymptotic Fields of Interface Cracks,” Int. J. Fract., 42, pp. 101–116.
Deng,  X., 1994, “An Asymptotic Analysis of Stationary and Moving Cracks With Frictional Contact Along Bimaterial Interfaces and in Homogeneous Solids,” Int. J. Solids Struct., 31, pp. 2407–2429.
Dundurs,  J., and Mura,  T., 1964, “Interaction Between an Edge Dislocation and a Circular Inclusion,” J. Mech. Phys. Solids, 12, pp. 177–189.
Dundurs,  J., and Sendeckyi,  G. P., 1965, “Behavior of an Edge Dislocation Near a Bimetallic Interface,” ASME J. Appl. Mech., 36, pp. 3353–3354.
Dundurs,  J., 1969, “Discussion of Edge-Bonded Dissimilar Orthogonal Elastic Wedges Under Normal and Shear Loading,” ASME J. Appl. Mech., 36, pp. 650–652.
Erdogan,  F., 1971, “Bonded Dissimilar Materials Containing Cracks Parallel to the Interface,” Eng. Fract. Mech., 3, pp. 231–240.
Bhattacharjee,  D., and Knott,  J. F., 1995, “Effect of Mixed Mode I and II Loading on the Fracture Surface of Polymethyl Methacrylate (PMMA),” Int. J. Fract., 72, pp. 359–381.
Gdoutos,  E. E., and Zacharopoulos,  D. A., 1987, “Mixed-Mode Crack Growth in Plates Under Three-Point Bending,” Exp. Mech., 27, pp. 366–369.
Mahajan,  R. V., and Ravi-Chandar,  K., 1989, “An Experimental Investigation of Mixed-Mode Fracture,” Int. J. Fract., 41, pp. 235–252.
Suresh,  S., Shih,  C. F., Morrone,  A., and O’Dowd,  N. P., 1990, “Mixed-Mode Fracture Toughness of Ceramic Materials,” J. Am. Ceram. Soc., 73, pp. 1257–1267.
Galvez,  J., Elices,  M., Guinea,  G. V., and Planas,  J., 1996, “Crack Trajectories Under Mixed Mode and Non-Proportional Loading,” Int. J. Fract., 81, pp. 171–193.
Evans,  A. G., and Hutchinson,  J. W., 1989, “Effects of Non-Planarity on the Mixed Mode Fracture Resistance of Bimaterial Interfaces,” Acta Metall., 37, pp. 909–916.
Suo,  Z., and Hutchinson,  J. W., 1989, “Steady-State Cracking in Brittle Substrates Beneath Adherent Films,” Int. J. Solids Struct., 25, pp. 1337–1353.
Cao,  H. C., and Evans,  A. G., 1989, “An Experimental Study of the Fracture Resistance of Bimaterial Interfaces,” Mech. Mater. 7, pp. 295–304.
Charalambides,  P. G., Lund,  J., Evans,  A. G., and McMeeking,  R. M., 1989, “A Test Specimen for Determining the Fracture Resistance of a Bimaterial Interface,” J. Appl. Mech. 56, pp. 77–82.
Wang,  J.-S., and Suo,  Z., 1990, “Experimental Determination of Interfacial Toughness Curves Using Brazil-Nut-Sandwiches,” Acta Metall. Mater., 38, No. 7, pp. 1279–1290.
Shih,  C. F., Asaro,  R., and O’Dowd,  N. P., 1991, “Elastic-Plastic Analysis Cracks on Bimaterial Interfaces; Part III: Large-Scale Yielding,” ASME J. Appl. Mech., 58, pp. 450–463.
Tippur,  H. V., and Rosakis,  A. J., 1991, “Quasi-Static and Dynamic Crack Growth Along Bimaterial Interfaces: A Note on Crack-Tip Field Measurements Using Coherent Gradient Sensing,” Exp. Mech., 31, pp. 243–251.
Liechti,  K. M., and Chai,  Y.-S., 1991, “Biaxial Loading Experiments for Determining Interfacial Fracture Toughness,” ASME J. Appl. Mech., 58, pp. 680–687.
O’Dowd,  N. P., Shih,  C. F., and Stout,  M. G., 1992, “Test Geometries for Measuring Interfacial Fracture Toughness,” Int. J. Solids Struct., 29, No. 5, pp. 571–589.
Mason,  J. J., Lambros,  J., and Rosakis,  A. J., 1992, “The Use of a Coherent Gradient Sensor in Dynamic Mixed-Mode Fracture Mechanics Experiments,” J. Mech. Phys. Solids, 40, pp. 641–661.
Foltyn,  P. A., and Ravi-Chandar,  K., 1993, “Initiation of an Interface Crack Under Mixed-Mode Loading,” ASME J. Appl. Mech., 60, pp. 227–229.
Tvergaard,  V., and Hutchinson,  J. W., 1993, “The Influence of Plasticity on Mixed Mode Interface Toughness,” J. Mech. Phys. Solids, 41, pp. 1119–1135.
Xu,  L., and Tippur,  H. V., 1995, “Fracture Parameters for Interfacial Cracks: An Experimental-Finite Element Study of Crack Tip Fields and Crack Initiation Toughness,” Int. J. Fract., 71, pp. 345–363.
Hutchinson,  J. W., Mear,  M., and Rice,  J. R., 1987, “Crack Paralleling an Interface Between Dissimilar Materials,” ASME J. Appl. Mech., 54, pp. 828–832.
Yang,  M., and Kim,  K., 1992, “The Behavior of Subinterface Cracks With Crack-Face Contact,” Eng. Fract. Mech., 44, pp. 155–165.
Kelly,  P., Hills,  D. A., and Nowell,  D., 1994, “The Complete Stress Field due to a Dislocation Anywhere in Two Bonded Quarter-Planes,” ASME J. Appl. Mech., 61, pp. 992–993.
Erdogan,  F., and Gupta,  G. D., 1972, “On the Numerical Solution of Singular Integral Equations,” Q. Appl. Math., 30, pp. 525–534.
Lee, H, 1998, “Quasi-Static Subinterfacial Crack Propagation,” Ph.D. dissertation, Northwestern University, Evanston, IL.
Weertman, J., 1996, Dislocation Based Fracture Mechanics, World Scientific, Singapore.
Tippur,  H. V., Krishnaswamy,  S., and Rosakis,  A. J., 1991, “A Coherent Gradient Sensor for Crack Tip Deformation Measurement: Analysis and Experimental Measurements,” Int. J. Fract., 48, pp. 193–204.
Lee,  H., and Krishnaswamy,  S., 1996, “A Compact Polariscope/Shearing-Interferometer for Mapping Stress Fields in Bimaterial Systems,” Exp. Mech., 36, pp. 404–411.
Sanford,  R. J., 1989, “Determining Fracture Parameters With Full-Field Optical Methods,” Exp. Mech., 29, pp. 241–247.
Wawryzynek, P., and Ingraffea, A., 1995, A Two-Dimensional Crack-Propagation Simulator, Version 2.7, Cornell University Press, Ithaca, NY.

Figures

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Three-point bend PMMA/AI 6061 specimen: (a) actual specimen=(b) beam without crack and only applied load+(c) plate without applied load and only dislocations to cause crack
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Modification of edge crack problem to center crack problem: (a) edge crack model, (b) center crack model, (c) traction stresses of edge crack, (d) traction stresses of center crack
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The traction stresses at imaginary crack line locations from Bernoulli-Euler beam bending analysis
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Stress intensity factor and crack extension and deflection forces for the PMMA/AI 6061 bimaterial specimen III as predicted by the model
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(a) Optical layout of the shearing interferometric system, (b) schematic of the shearing interferometer
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Global and local coordinate systems for a propagating crack
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(a) Comparison of crack propagation trajectories in PMMA/AI 6061 bimaterial specimen I, numerical simulation superposed on the experimental results; (b) shearing interferometric fringes for PMMA/AI 6061 bimaterial specimen I; (c) measured stress intensity factor and phase angle versus crack propagation distance of PMMA/AI 6061 bimaterial specimen I
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(a) Comparison of crack propagation trajectories in PMMA/AI 6061 bimaterial specimen II; numerical simulation superposed on the experimental results. (b) Shearing interferometric fringes for PMMA/AI s6061 bimaterial specimen II. (c) Measured stress intensity factor and phase angle versus crack propagation distance of PMMA/AI 6061 bimaterial specimen II. (d) Crack surface contacts in PMMA/AI 6061 bimaterial specimen II. (i), (ii), (iii), and (iv) are zoomed images of Figs. 8(b), (d), (g), and (i), respectively.
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(a) Comparison of crack propagation trajectories in PMMA/AI 6061 bimaterial specimen III; numerical simulation superposed on the experimental results. (b) shearing interferometric fringes for PMMA/AI 6061 bimaterial specimen III. (c) Measured stress intensity factor and phase angle versus crack propagation distance for bimaterial PMMA/AI 6061 specimen III.

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