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TECHNICAL PAPERS

Damage Zone Around Tip of an Interface Crack Between Rubber-Modified Epoxy Resin and Aluminum

[+] Author and Article Information
Deok-Bo Lee

the BK21 Division for Research and Education in Mechanical Engineering, Hanyang University, 17 Haengdang-dong, Sungdong-ku, Seoul, 133-791, Korea

Toru Ikeda, Noriyuki Miyazaki

Department of Chemical Engineering, Graduate School of Engineering, Kyushu University, 6-10-1 Hakozaki, Higashi-ku, Fukuoka, 812-8581, Japan

Nak-Sam Choi

Department of Mechanical Engineering, Hanyang University, 1271 Sa-1 dong, Ansan-si, Kyunggi-do, 425-791, Korea

J. Eng. Mater. Technol 124(2), 206-214 (Mar 26, 2002) (9 pages) doi:10.1115/1.1417980 History: Received May 25, 2000; Revised June 05, 2001; Online March 26, 2002
Copyright © 2002 by ASME
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References

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Wang,  Y., and Suo,  Z., 1990, “Experimental Determination of Interfacial Toughness Using Brazil-Nut Sandwiches,” Acta Metall. Mater., 38, pp. 1279–1290.
Ikeda,  T., Miyazaki,  N., and Soda,  T., 1998, “Mixed Mode Fracture Criterion of Interface Crack between Dissimilar Materials,” Eng. Fract. Mech., 59, No. 6, pp. 725–735.
Liechi,  K. M., and Chai,  Y. S., 1991, “Biaxial Loading Experiments for Determining Interfacial Fracture Toughness,” ASME J. Appl. Mech., 58, pp. 680–687.
Liechi,  K. M., and Chai,  Y. S., 1992, “Asymmetric Shielding in Interfacial Fracture Under in-Plane Shear,” ASME J. Appl. Mech., 59, pp. 295–304.
Chai,  H., 1992, “Experimental Evaluation of Mixed-Mode Fracture in Adhesive Bonds,” Exp. Mech., 32, pp. 296–303.
Hutchinson,  J. W., and Suo,  Z., 1992, “Mixed Mode Cracking in Layered Materials,” Adv. Appl. Mech., 29, pp. 64–191.
Shih,  C. F., and Asaro,  R. J., 1988, “Elastic-Plastic Analysis of Cracks on Bimaterial Interfaces: Part I—Small-Scale Yielding,” ASME J. Appl. Mech., 55, pp. 299–316.
Needleman,  A., 1990, “An Analysis of Tensile Decohesion Along an Interface,” J. Mech. Phys. Solids, 38, pp. 289–324.
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Zywicz,  E., and Parks,  D. M., 1990, “Elastic-Plastic Analysis of Frictionless Contact at Interfacial Crack Tips,” Int. J. Fract., 52, pp. 129–143.
Erdogan,  F., 1965, “Stress Distribution in Bonded Dissimilar Materials with Crack,” ASME J. Appl. Mech., 30, pp. 232–236.
Malyshev,  B., and Salganik,  R., 1965, “The Strength of Adhesive joints using the Theory of Crack,” Int. J. Fract. Mech., 1, pp. 114–119.
Wegman, R. F., 1989, Surface Preparation Techniques for Adhesive Bonding, Noyes, U.S.A.
Lee,  D. B., Ikeda,  T., Todo,  M., Miyazaki,  N., and Takahashi,  K., 1999, “The Mechanism of Damage around Crack tip in Rubber-modified Epoxy resin,” Trans. Jpn. Soc. Mech. Eng., Ser. A, 65, No. 631, pp. 439–446 (in Japanese).
Miyazaki,  N., Ikeda,  T., Soda,  T., and Munakata,  T., 1993, “Stress Intensity Factor Analysis of Interface Crack Using Boundary Element Method (1st Report, Application of Virtual Crack Extension Method),” JSME Int. J., Ser. A, 36, No. 1, pp. 36–42.
Ikeda,  T., Komohara,  Y., and Miyazaki,  N., 1997, “Stress Intensity Factor Analysis of an Interface Crack between Dissimilar Materials under Thermal Stress Condition by Virtual Crack Extension Method,” Trans. Jpn. Soc. Mech. Eng., Ser. A, 63, No. 611, pp. 1377–1384 (in Japanese).
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Figures

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Coordinate system around an interface crack
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Mold for notched jointed half disks (NJHD) specimen
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Notched jointed half disks (NJHD) specimen (unit: mm)
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Superposition of a known problem on an unknown problem
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Measurement of the difference of total expansion ratio between resin and metal, Δβ, using a strain gauge. (a) A bonded specimen before delamination with a strain gauge; (b) a specimen after debonding along the interface.
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A bonded specimen and the coordinate system in the bent specimen. (a) Bonded specimen; (b) the coordinate system in the bent specimen.
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Load-displacement diagrams of the notched jointed half disks specimen (NJHD) and the notched disk specimen (ND)
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Rubber particles around a crack tip in virgin specimens, observed by an optical microscope. (a) Around a crack in bulk epoxy resin; (b) around an interface crack in a joint specimen.
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Normal stress and shear stress caused by residual stress around an interface crack tip. (a) Normal stress, σyy; (b) shear stress, τxy.
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Principal stresses and angles of principal axes caused by residual stress around an interface crack tip. (a) Principal stress, σ12; (b) direction of principal axis.
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Conceptual figure describing the deformation mechanism of rubber particles around an interface crack under residual stress
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Observations around a crack tip in bulk rubber-modified epoxy and around an interface crack tip between aluminum and rubber-modified epoxy resin observed with an optical microscope. (a) Around a crack tip in bulk rubber-modified epoxy; (b) around an interface crack tip betweem aluminum and rubber-modified epoxy resin.
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Rubber particles around a crack tip observed by an optical microscope. (a) Bulk rubber-modified epoxy; (b) interface crack (slightly extended crack tip shown in Fig. 9).
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Rubber particles observed by an atomic force microscope (AFM). (a) Cavitated rubber particle in the damage zone of bulk specimen; (b) debonded rubber particle around an interface crack tip.
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A spherical inclusion in an infinite media under uniform tension
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The variation of the ratio of σnmax and σH with n under σ1=nσ0 and σ230 for the different values of Γ in the case of ν1=0.4 and ν2=0.45
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The variation of the ratio of σnmax and σH with n under σ1=nσ0 and σ230 for the different values of ν1 in the case of Γ=0.001 and ν2=0.45
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The variation of the ratio of σnmax and σH with n under σ1=nσ0 and σ230 for the different values of ν2 in the case of Γ=0.001 and ν1=0.40
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The variation of the ratio of σnmax and σH with n under σ1=nσ0 and σ23=−σ0 for the different values of ν1 in the case of Γ=0.001 and ν2=0.45

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