Abstract
In this paper some mathematical properties of a delamination model are studied. The laminate is schematized as two plates connected by a very special interface material. An interface constitutive model, based on the adhesion theory is introduced. The proposed model is governed by a functional which is neither smooth nor convex. The fundamental properties of this nonsmooth model are presented. Then a regularized interface model is constructed. The existence of a solution for the delamination problem obtained adopting the regularized interface model is proved. It is shown that this solution convergences to a solution of the nonsmooth initial delamination problem when the regularization parameters tend to 0. The lack of convexity of the functionals governing both the nonsmooth and the regularized problems makes this proof not straightforward.
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References
W.J. Bottega and A. Maewal, Delamination Buckling and Growth in Laminates. J. Appl. Mech. 50 (1983), 184–189.
H. Chai, and CD. Babcock, Two-Dimensional Modelling of Compressive Failure in Delaminated Laminates. J. Comp. Mater. 19 (1985), pp. 67–98.
A.C. Garg, Delamination — A damage model in composite structures. Engng. Fract. Mech. 29 (1988), 557–584.
L.M. Kachanov, Delamination Buckling of Composite Materials. Kluwer Academic Publishers (1988).
O. Allix, P. Ladeveze, Interlaminar interface modelling for the prediction of the delamination. Comp. Struct. 22 (1992), pp 235–242.
M. Frémond, Contact Unilatéral avec Adhérence. Unilateral Problems in Structural Analysis”, G. Del Piero and F. Maceri, Eds., Springer-Verlag (1985).
M. Frémond, Adhérence des Solides, J. Méc. Théor. Appl. 6, (1987), 383–407.
M. Frémond, Contact with Adhesion. Topics in Nonsmooth Mechanics, J.J. Moreau, P.D. Panagiotopoulos and G. Strang, Eds., Birkhäuser (1988).
N. Point, Approche Mathématique de Problèmes à Frontières Libres. Application à des Exemples Physiques. Thèse de Doctorat d’Etat es-Sciences Mathématiques de l’Université Paris XIII (1989).
N. Point, and E. Sacco, A delamination model for laminated composites. Int. J. Solids Structures 33, (1995), 483–509.
N. Point, and E. Sacco, Delamination of beams: A method for the evaluation of the strain energy release rates of DBC specimen. Int. J. Fracture 79, (1996), 225–247.
D. Maugis, and M. Barquins, Fracture mechanics and the adherence of viscoelastic bodies. J. Phys. D., Appl. Phys. 11 (1978), 1989–2023.
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© 1999 Springer Science+Business Media Dordrecht
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Point, N., Sacco, E. (1999). A Delamination Model. Mathematical Properties. In: Argoul, P., Frémond, M., Nguyen, Q.S. (eds) IUTAM Symposium on Variations of Domain and Free-Boundary Problems in Solid Mechanics. Solid Mechanics and Its Applications, vol 66. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4738-5_18
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DOI: https://doi.org/10.1007/978-94-011-4738-5_18
Publisher Name: Springer, Dordrecht
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