Abstract
A study on the elastic behavior of interface cracks in adhesively bonded lap-shear joints is presented. The problem is investigated by using a recently developed method of analysis based on conservation laws in elasticity for nonhomogeneous solids and fundamental relationships in fracture mechanics of dissimilar materials. The formulation leads to a pair of linear algebraic equations in mixed-mode stress intensity factors. Singular crack-tip stress intensity solutions are determined directly by information extracted from the far field. Stress intensity factors and associated energy release rates are obtained for various cases of interest. Fundamental nature of the interfacial flaw behavior in lap-shear adhesive joints is examined in detail.
Similar content being viewed by others
References
M.L. Williams, Bulletin of the Seismological Society of America 49 (1959) 199–204.
A.H. England, Journal of Applied Mechanics 32, Transactions ASME Ser. E (1965) 400–411.
J. Rice and G.C. Sih, Journal of Applied Mechanics 32, Transactions ASME, Ser. E (1965) 418–423.
E. Erdogan, Journal of Applied Mechanics 32, Transactions ASME, Ser. E (1965) 403–410.
E. Erdogan and G.D. Gupta, International Journal of Solids and Structures 7 (1971) 39–61.
E. Erdogan and G.D. Gupta, International Journal of Solids and Structures 7 (1971) 1089–1107.
M. Rusen Gecit and E. Erdogan, “The effect of Adhesive Layer on Crack Propagation in Laminates,”, NASA Technical Report, Grant NGR 39–007–011, Department of Mechanical Engineering and Mechanics, Lehigh University, March (1976).
B.M. Malyshev and R.L. Salganik, International Journal of Fracture Mechanics 1, 2 (1965) 114–128.
M. Comninou, Journal of Applied Mechanics 44, 4 (1977) 631–636.
J.D. Achenbach, et al., Journal of Elasticity 9 (1979) 397–424.
A.F. Mak and L.M. Keer, Journal of Applied Mechanics 48, Transactions ASME, Ser. E (1981).
S.S. Wang, J.F. Mandell and F.J. McGarry, International Journal of Fracture 14, 1 (1978) 39–58.
W.D. Bascom, C.O. Timmons and R.L. Jones, Journal of Materials Science 10 (1975) 1037–1048.
W.D. Bascom, R.L. Cottington, R.L. Jones and P. Peyser, Journal of Polymer Science 19 (1975) 2545–2562.
M.L. Williams, Journal of Adhesion 4 (1972) 381–421.
J.D. Eshelby, Solid State Physics, Eds., F. Seitz and D. Turnbull, 3, Academic Press, N.Y. (1956) 79–144.
J.K. Knowles and E. Sternberg, Archive for Rational Mechanics and Analysis 44 (1972) 187–211.
B. Budiansky and J. Rice, Journal of Applied Mechanics 40, Transactions ASME, Ser. E (1973) 201–203.
F.H.K. Chen and R.T. Shield, Journal of Applied Mathematics and Physics (ZAMP) 28 (1977) 1–22.
R.E. Smelser and M.E. Gurtin, International Journal of Fracture 13 (1977) RCR 382–384.
C. Atkinson, International Journal of Fracture 11, 4 (1975) 619–628.
N.I. Muskhelishvili, Some Basic Problems of Mathematical Theory of Elasticity, P. Noordhoff, Groningen, The Netherlands (1963).
C.C. Hong and M. Stern, Journal of Elasticity 8, 1 (1978) 21–34.
K.Y. Lin and J.W. Mar, International Journal of Fracture 12, 4 (1976) 521–531.
R.E. Smelser, International Journal of Fracture 15, 2 (1979) 135–143.
S.S. Wang and J.F. Yau, “An Analysis of Interfacial Cracks Based on Conservation Laws in Elasticity,” to appear in International Journal of Solids and Structures (1982).
S.S. Wang, J.F. Mandell, T.H. Christesen and F.J. McGarry, “Analysis of Lap Shear Adhesive Joints With and Without Short Edge Cracks,” Research Report R76–2, Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA (1976).
S.S. Wang, J.F. Mandell and F.J. McGarry, “Effects of Crack Elevation in TDCB Adhesive Fracture Tests,” Research Report R76–3, Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA (1976).
F. Erdogan, Engineering Fracture Mechanics 4, 4 (1972) 811–840.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Wang, S.S., Yau, J.F. Interface cracks in adhesively bounded lap-shear joints. Int J Fract 19, 295–309 (1982). https://doi.org/10.1007/BF00012485
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00012485