Abstract
The problem of edge debonding of patched beam-plates subjected to transverse pressure is examined using two related mathematical models; one which incorporates geometric nonlinearities and the other which neglects them. The models, developed in a prior study, present the energy release rates in self-consistent functional form and yield closed form analytical solutions for the specific problem of interest. Results of numerical simulations based on each model are presented in the form of debond growth paths and compared. The growth paths are subsequently presented with corresponding pre-growth load-deflection paths to further examine the differences resulting from each model. It is seen that significant discrepancies occur between the behaviors predicted by the two models, both with regard to the onset of damage propagation and with regard to the stability of the process, as well as with regard to the pre-growth behavior, demonstrating the critical influence of geometric nonlinearities on the phenomena of interest.
Similar content being viewed by others
References
Bigwood DA, Crocombe AD (1989) Elastic analysis and engineering design formulae for bonded joints. Int J Adhes Adhes 9(4): 229–242. doi:10.1016/0143-7496(89)90066-3
Bottega WJ (1995) Separation failure in a class of bonded plates. Compos Struct 30: 253–269. doi:10.1016/0263-8223(94)00036-0
Bottega WJ (2003) Structural scale decomposition of energy release rates for delamination propagation. Int J Fract 122: 89–100. doi:10.1023/B:FRAC.0000005376.59962.f2
Bottega WJ, Loia MA (1996) Edge debonding in patched cylindrical panels. Int J Solids Struct 33: 3755–3777. doi:10.1016/0020-7683(95)00205-7
Bottega WJ, Loia MA (1997) Axisymmetric edge debonding in patched plates. Int J Solids Struct 34: 2255–2289. doi:10.1016/S0020-7683(96)00155-2
Bottega WJ, Karlsson AM (1999) On the detachment of Step-tapered doublers–part 1: foundations. Int J Solids Struct 36: 1597–1623. doi:10.1016/S0020-7683(98)00052-3
Carabetta PM (2007) Effects of geometric nonlinearities and uniform temperature fields on the detachment of patched beam-plates under pressure loading. M.S. Thesis, Rutgers University
Chue C-H, Chang L-C, Tsai J-S (1994) Bonded repair of a plate with inclined central crack under biaxial loading. Compos Struct 28: 39–45. doi:10.1016/0263-8223(94)90004-3
Delale F, Erdogan F (1981) Stresses in adhesively bonded joints: a closed-form solution. J Compos Mater 15: 249–271. doi:10.1177/002199838101500305
Goland M, Reissner E (1944) The stresses in cemented joints, J Appl Mech. Trans ASME 66: A17–A27
Johnson WS (1987) Stress analysis of the cracked-lap shear specimen: an ASTM round robin. J Test Eval 6: 303–324
Jones R et al (1983) Analysis of bonded repairs to damaged fibre composite structures. Eng Fract Mech 17(1): 37–46. doi:10.1016/0013-7944(83)90021-8
Karlsson AM, Bottega WJ (1999a) The presence of edge contact and its influence on the debonding of patched panels. Int J Fract 96: 381–404. doi:10.1023/a:1018328932561
Karlsson AM, Bottega WJ (1999b) On the detachment of Step-tapered doublers—part 2: evolution of pressure loaded structures. Int J Solids Struct 36: 1625–1651. doi:10.1016/S0020-7683(98)00053-5
Park JH, Ogiso T, Atluri SN (1992) Analysis of cracks in aging aircraft structures, with and without composite repairs. Comput Mech 10: 169–201. doi:10.1007/BF00370088
Paul J, Jones R (1992) Repair of impact damaged composites. Eng Fract Mech 41: 127–141. doi:10.1016/0013-7944(92)90101-J
Tarn J-Q, Shek K-L (1991) Analysis of cracked plates with a bonded patch. Eng Fract Mech 40: 1055–1065. doi:10.1016/0013-7944(91)90170-6
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Carabetta, P.M., Bottega, W.J. Effects of geometric nonlinearities on damage propagation in patched beam-plates subjected to pressure loading. Int J Fract 152, 51–62 (2008). https://doi.org/10.1007/s10704-008-9265-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10704-008-9265-8