Abstract
A three-dimensional finite element method is employed to analyze an adhesive butt joint with a through-the-thickness crack in the center of the adhesive layer. The finite element model used accommodates both the extremely small dimensions of the adhesive layer and the larger dimensions of the rest of the region. The crack tip region is modelled by isoparametric quarter-point degenerate brick elements which give the required square root singularity for stresses at the crack tip. The results from a fracture mechanics approach corroborate the earlier experimental results that the strength of an adhesive joint increases with decrease in adhesive layer thickness. It is also observed that the stress intensity factor varies in a non-linear fashion along the crack front.
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References
S. Mostovoy and E. J. Ripling, J. Appl. Polymer Sci., 10, 1351 (1966).
G. G. Trantina, J. Composite Mater., 6, 192 (1972).
S. S. Wang, J. F. Mandell and F. J. McGarry, Int. J. Fracture, 14, 39 (1978).
J. L. Gardon, in “Treatise on Adhesion and Adhesives”, R. L. Patrick, Editor, Vol. 1, pp. 269-324, Marcel Dekker, New York, 1967.
M. L. Williams, J. Appl. Polym. Sci., 14, 1121 (1970).
H. P. Meissner and G. H. Baldauf, Trans. Soc. Amer. Mech. Engr., 697 (1951).
G. P. Anderson, K. L. DeVries and M. L. Williams, Int. J. Fracture, 10, 565 (1974).
G. G. Trantina, J. Composite Mater., 6, 371 (1972).
R. S. Barsoum, Int. J. Numerical Meth. Eng., 11, 85 (1977).
P. P. Lynn and A. R. Ingraffea, Int. J. Numerical Meth. Eng., 12, 1031 (1978).
G. C. Sih, M. L. Williams and J. L. Swedlow, “Three-dimensional stress distribution near a sharp crack in a plate of finite thickness”, Air Force Materials Lab., Wright-Patterson Air Force Base, AFML-TR-66-242 (1966).
G. C. Sih and R. J. Hartranft, Int. J. Fract., 7, 39 (1971).
P. D. Hibitt, in “Mechanics of Fracture, Plates and Shells with Cracks”, G. C. Sih, Editor, Noordhoff Int. Pub., Leyden (1977).
I. S. Raju and J. C. Newman, Jr., “Three-dimensional finite element analysis of finite thickness fracture specimens”, NASA-TN-D 8414, May (1977).
G. C. Sih and R. J. Hartranft, Int. J. Fract., 9, 75 (1973).
R. S. Barsoum, Int. J. Numerical Meth. Eng., 10, 551 (1976).
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© 1984 Plenum Press, New York
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Alwar, R.S., Ramachandran Nambisan, K.N. (1984). A Three-Dimensional Analysis of a Butt Joint with a Flaw. In: Mittal, K.L. (eds) Adhesive Joints. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2749-3_48
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DOI: https://doi.org/10.1007/978-1-4613-2749-3_48
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-9702-4
Online ISBN: 978-1-4613-2749-3
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