Abstract
A line spring model is developed for analyzing the fracture problem of cracked metallic plate repaired with the double-sided adhesively bonded composite patch. The restraining action of the bonded patch is modeled as continuous distributed linear springs bridging the crack faces provided that the cracked plate is subjected to extensional load. The effective spring constant is determined from 1-D bonded joint theory. The hyper-singular integral equation (HSIE), which can be solved using the second kind Chebyshev polynomial expansion method, is applied to determine the crack opening displacements (COD) and the crack tip stress intensity factors (SIF) of the repaired cracked plate. The numerical result of SIF for the crack-tip correlates very well with the finite element (FE) computations based on the virtual crack closure technique (VCCT). The present analysis approaches and mathematical techniques are critical to the successful design, analysis and implementation of crack patching.
Similar content being viewed by others
References
Baker, A.A.: Comp. Struct. 2, 153 (1984)
Xiong, J.J., Shenoi, R.A.: Comp. Struct. 83, 266 (2008)
Hosseini-Toudeshky, H., Jasemzadeh, A., Mohammadi, B.: Appl. Compos. Mater. 18, 571 (2011)
Aglan, H., Wang, Q.Y., Kehoe, M.: J. Adhes. Sci. Technol. 15, 1621 (2001)
Maligno, A.R., Soutis, C., Silberschmidt, V.V.: Eng. Fract. Mech. 99, 62 (2013)
Bachir Bouiadjra, B., Fekirini, H., Serier, B., Benguediab, M.: Comp. Mater. Sci. 38, 824 (2007)
Her, S.-C., Chao, M.: J. Adhes. Sci. Technol. 25, 2569 (2011)
Clark, R.J., Romilly, D.P.: Eng. Fract. Mech. 75, 1944 (2008)
Duong, C.N.: Compos. Part A Appl. S. 40, 1320 (2009)
Duong, C.N., Verhoevenb, S., Guijtb, C.B.: Comp. Struct. 73, 394 (2006)
Erdogan, F., Arin, K.: Eng. Fract. Mech. 4, 449 (1972)
Ratwani, M.M.: AIAA J. 17, 988 (1974)
Keer, L.M., Lin, C.T., Mura, T.: J. Appl. Mech. 43, 652–656 (1976)
Rose, L.R.F.: J. Mech. Phys. Solids 35, 383 (1987)
Rose, L.R.F.: Int. J. Fract. 18, 135 (1982)
Wang, C.H., Rose, L.R.F.: Int. J. Solids Struct. 36, 1985 (1999)
Duong, C.N., Yu, J.: Int. J. Fract. 84, 37 (1997)
Jones, R., Callian, R.J., Aggarwal, K.C.: Eng. Fract. Mech. 17, 37 (1983)
Sun, C.T., Klug, J., Arendt, C.: AIAA J. 134, 3143 (1996)
Naboulsi, S., Mall, S.: Comp. Struct. 35, 295 (1996)
Schubbe, J.J., Mall, S.: Comp. Struct. 45, 185 (1999)
Joseph, P.F., Erdogan, F.: Int. J. Fract. 41, 105 (1989)
Chan, Y.-S., Fanjiang, A.C., Paulino, G.H.: Int. J. Eng. Sci. 41, 683 (2003)
Aliabadi M.H. and Rooke D. P. Number Fract. Mech. 45(1991).
Yan, X.: Appl. Math. Model. 30, 489 (2006)
DaSilva, L.F.M., Nevesa, P.J.C.d., Adamsb, R.D., Speltc, J.K.: Int. J. Adhes. Adhes. 29, 319 (2009)
Shivakumar, K.N., Tan, P.W., Newman, J.C.: Int. J. Fract. 36, 43 (1988)
De, X., Sherrill, B., Biggers Jr., S.B.: Finite Elem. Anal. Des. 42, 977 (2006)
Turaga, V.R.S., Ripudaman, S.: Eng. Fract. Mech. 64, 267 (1999)
Bachir Bouiadjra, B., Belhouari, M., Serier, B.: Comp. Struct. 56, 401 (2002)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Niu, Y., Su, W. Fracture Analysis of Double-Side Adhesively Bonded Composite Repairs to Cracked Aluminium Plate Using Line Spring Model. Appl Compos Mater 23, 443–459 (2016). https://doi.org/10.1007/s10443-015-9467-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10443-015-9467-y