Abstract
In this study, the general solution of stresses is derived for a T-shaped junction consisting of two thin plates with an adhesion crack. A shear force is applied to the crack surface. The analysis is based on the supposition that the stresses in each plate can be approximated by the plane stress condition. The results obtained are verified by a numerical calculation based on the finite element method. Moreover, a singular stress field is obtained from the solution for the vicinity of the crack.
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References
Chen DH, Kohanawa K (2001) Singularity for a corner of a T-shaped junction. Trans JSME 67: 852–857 (in Japanese)
ESA (1994) Structural materials handbook. ESA PSS-03-203, ESTEC, Noordwijk
Gibson LJ, Ashby MF (1988) Cellular solids: structures & properties. Pergamon Press, Oxford
HEXCEL (1987) Mechanical properties of Hexcel honeycomb materials. TSB 120
Hohe J, Becker W (2001) Assessment of the delamination hazard of the core face sheet bond in structural sandwich panels. Int J Fract 109: 413–432
Hohe J, Becker W, Goswami S (2001) Singular stress fields in cellular cores for structural sandwich panels. Compos Struct 53: 9–19
Hohe J, Goswami S, Becker W (2003) Assessment of interface stress concentrations in layered composites with application to sandwich panels. Comput Mater Sci 26: 71–79
Jensen HM (2008) Interface fracture in adhesively bonded shell structures. Eng Fract Mech 75: 571–578
Kim WC, Dharan CKH (1992) Facesheet debonding criteria for composite sandwich panels under in-plane compression. Eng Fract Mech 42: 643–652
MSC. Marc 2003. User’s manual
Ural A, Zehnder AT, Ingraffea AR (2003) Fracture mechanics approach to facesheet delamination in honeycomb: measurement of energy release rate of the adhesive bond. Eng Fract Mech 70: 93–103
Williams ML (1957a) Stress singularities resulting from various boundary conditions in angular corners of plates in extension. Trans ASME J Appl Mech 74: 526–528
Williams ML (1957b) On the stress distribution at the base of a stationary crack. Trans ASME J Appl Mech 24: 109–114
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Chen, D.H., Ozaki, S. General solution of stresses due to an adhesion crack for T-shaped junction of two plates. Int J Fract 148, 195–203 (2007). https://doi.org/10.1007/s10704-008-9194-6
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DOI: https://doi.org/10.1007/s10704-008-9194-6