Abstract
This paper deals with the problem of the delamination of laminated beams. A model based on adhesion theory is adopted. The laminate is modeled as two beams in adhesion, with an initial defect in part of the interface. Adhesion is governed by two state variables: the relative displacement of the points belonging to the two beams and lying at the interface, and a damage parameter. This model is governed by a nonsmooth functional. Then, a simple regularized model is derived for the interface. The corresponding differential equations are given and the closed form solution is provided. Both the perfect nonsmooth and the regularized proposed models are used to study the classical double cantilever beam (DCB) specimen. In particular, a simple theory is developed to predict the external loads leading to delamination for pure mode I or pure mode II. Numerical computations, developed for both the nonsmooth and the smooth proposed models, are compared with results available in the literature.
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References
W.J.Bottega, International Journal of Solids and Structures 19–11 (1983) 1009–1017.
H.Chai and C.D.Babcock, Journal of Composite Materials 19 (1985) 67–98.
A.C.Garg, Engineering Fracture Mechanics 29–5 (1988) 557–584.
L.M. Kachanov, Delamination Buckling of Composite Materials, Kluwer Academic Publishers (1988).
W.S.Gutowsky and E.R.Panakevicius, Fatigue and Fracture of Engineering Materials and Structures 17–3 (1994) 351–360.
D.F.Devitt, R.A.Shapery and W.L.Bradley, Journal of Composite Materials 14 (1980) 270–285.
J.Y.Shim and C.S.Hong, Journal of Reinforced Plastic and Composites 19 (1993) 1295–1310.
J.G.Williams, International Journal of Fracture 36 (1988) 101–119.
S.H.Yoon and C.S.Hong, International Journal of Fracture 43 (1990) R3–R9.
A.Corigliano, International Journal of Solids and Structures 30–11 (1993) 2779–2811.
S. Rinderknecht and B. Köplin, in Taylor Anniversary Volume 1994 (1994).
S. Rinderknecht and B. Köplin, Advances in Non-Linear Finite Element Methods, B.H.V. Topping and M. Papadrakakis (eds.) (1994).
N.Point and E.Sacco, International Journal of Solids and Structures 33–4 (1996) 483–509.
M. Frémond, in Unilateral Problems in Structural Analysis, G. Del Piero and F. Maceri (eds.) Springer-Verlag (1985).
M.Frémond, Journal de Mécanique Théorique et Appliquée 6–3 (1987) 383–407.
D. Broek, Elementary Engineering Fracture Mechanics, Martinus Nijhoff Publishers (1986).
N. Point, Approche Mathématique de Problèmes à Frontieres Libres: Application à des Exemples Physiques, thèse de Doctorat d'Etat ès-Sciences Mathématiques de l'Université Paris XIII (1989).
J.M. Truong Dinh Tien, Contact avec Adhérence, thèse de Doctorat de l'Université Paris VI (1990).
O.Allix and P.Ladevèze, Composite Structures 22 (1992) 235–242.
O.Allix, P.Ladevèze and A.Corigliano, Composite Structures 31 (1995) 61–74.
N. Point and E. Sacco, International Journal of Mathematical and Computer Modelling, to appear.
S. Wolfram, Mathematica (2nd edn.), Addison Wesley Publishing Company (1991).
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Point, N., Sacco, E. Delamination of beams: an application to the DCB specimen. Int J Fract 79, 225–247 (1996). https://doi.org/10.1007/BF00019379
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DOI: https://doi.org/10.1007/BF00019379