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TECHNICAL PAPERS

Assessment of Sandwich Beam in Three-Point Bending for Measuring Adhesive Shear Modulus

[+] Author and Article Information
Jianmei He, Martin Y. M. Chiang, Donald L. Hunston

Polymers Division, National Institute of Standards and Technology, Gaithersburg, MD 20899

J. Eng. Mater. Technol 123(3), 322-328 (Mar 15, 2001) (7 pages) doi:10.1115/1.1375159 History: Received October 31, 2000; Revised March 15, 2001
Copyright © 2001 by ASME
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References

Moussiaux, E., Brinson, H. F., and Cardon, A. H., 1987, “Bending of a Bonded Beam as a Test Method for Adhesive Properties,” Report No. VPT-E-87-9, CAS/ESM-87-2, Virginia Tech. Center for Adhesive Science.
ASTM D-5656, 1995, “Standard Test Method for Thick-Adherend Metal Lap-Shear Joints for Determination of the Stress-Strain Behavior of Adhesives in Shear by Tension Loading,” Annual Book of ASTM Standards, Vol. 15.06 Adhesives, ASTM, West Conshohocken, PA.
ASTM E229, 1997, “Standard Test Method for Shear Strength and Shear Modulus of Structural Adhesives,” Annual Book of ASTM Standards, Vol. 15.06 Adhesives, ASTM, West Conshohocken, PA.
ASTM D-3983, 1998, “Standard Test Method for Measuring Strength and Shear Modulus of Non-rigid Adhesives by the Thick-Adherend Tensile-Lap Specimen,” Annual Book of ASTM Standards, Vol. 15.06 Adhesives, ASTM, West Conshohocken, PA.
ASTM D-4027, 1998, “Standard Test Method for Measuring Shear Properties of Structural Adhesives by the Modified-Rail Test,” Annual Book of ASTM Standards, Vol. 15.06 Adhesives ASTM, West Conshohocken, PA.
Miyagi, Z., Zaghi, S., Hunston, D. L., and Brinson, H., 1999, “The Sandwich bending Specimen for Characterizing Adhesive Properties,” Proceedings of the 22nd Annual Meeting of the Adhesive Society, pp. 119–121.
Spigel, B., and Roy, S., 1993, “Comparison of the Adhesive Shear Modulus in Bulk and Bonded States,” Adhesion International, pp. 705–717.
DiTaranto,  A., 1965, “Theory of Vibratory Bending for Elastic and Viscoelastic Layered Finite-Length Beams,” ASME J. Appl. Mech., 32, No. 4, pp. 881–886.
DiTaranto,  A., 1973, “Static Analysis of a Laminated Beam,” J. Eng. Ind., No. 95, pp. 775–761.
Adams, D., and Weinstein, A. S., 1974, “Flexural Stiffness of Sandwich Beams,” J. Eng. Mat. Technol., Paper No. 75-Mat-K, pp. 1–7.
Krajcinovic,  D., 1975, “Sandwich Beams with Arbitrary Boundary Conditions,” ASME J. Eng. Ind., 97, pp. 873–880.
Sharma,  R., and Rao,  D. K., 1982, “Static Deflections and Stresses in Sandwich Beams Under Various Boundary Conditions,” J. Mech. Eng. Sci., 24, No. 1, pp. 11–20.
Brinson,  H. F., Dickle,  Ray A., and Debolt,  Michael A., 1995, “Measurement of Adhesive Bond Properties Including Damage by Dynamic Mechanical Thermal Analysis of a Beam Specimen,” J. Adhes., 55, pp. 17–30.
ABAQUS, 1997, Finite Element Analysis Code and Theory (Standard and CAE), Version 5.8.14., Hibbitt, Karlsson & Sorensen, Inc., RI, USA. Certain commercial code is identified in this paper in order to specify adequately the analysis procedure. In no case does such identification imply recommendation or endorsement by the National Institute of Standards and Technology (NIST) nor does it imply that they are necessarily the best available for the purpose.
Chiang,  M. Y. M., and Chai,  H., 1994, “Plastic Deformation Analysis of Cracked Adhesive Bonds Loaded in Shear,” Int. J. Solids Struct., 31, pp. 2477–2490.
Timoshenko, S., 1984, Strength of Materials, Part I and II, Krieger Publishing, Malabar, FL.

Figures

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The 3-point bending sandwich beam, the gray adhesive layer between two adherends
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The model of FEA for the 3-point bending sandwich beam (L=2l)
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The stiffness of the sandwich beam KFEA obtained from the FEA
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The variation of the total stiffness and bending stiffness with respect to adhesive shear modulus
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Comparison of the analytical stiffness based on Eq. (1), Ks1, to the stiffness KFEA from FEA
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Comparison of the analytical stiffness based on Eq. (4), Ks2, to the stiffness KFEA from FEA
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Beam stiffness from finite element analysis, KFEA, as a function of adhesive shear modulus, Ga, for samples with 2 different span lengths, L
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Comparison of the analytical stiffness based on Eq. (4), Ks2, to the stiffness (KFEA) from FEA under different aspect ratio L/h
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The uncertainty analysis results based on Eq. (4)
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The comparison of results between debonding and no-debonding with respect to adhesive shear modulus Ga (h/t=6.68,a/l=0.1, a: crack length)
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The comparison of results between debonding and no-debonding with respect to adhesive shear modulus Ga (h/t=0.783,a/l=0.1, a: crack length)
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The comparison of results between debonding and no-debonding with respect to the length of debonds (Ga=1.06 GPa)

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