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3 (a) DCB test (Double Cantilever Beam). (b) ENF (End Notch Flexure) and ELS (End Loaded Split) tests. R (c) IDCB test (Imposed Displacement Cantilever Beam) Figure : Testing configurations. DATA REDUCTION. The analytical model based on beam theory was developed using the hypotheses of Williams [9] for mode partitioning (Fig.). This approach assumes that : - the opening mode only requires moments M I in opposite senses ; in other words, DCB test loading always produces pure mode I fracture regardless of different material constants, E, and the thickness of two arms ; - the pure mode II fracture can be obtained when the curvature in the two arms is the same. M+M E=E, H, I M M E, h, I E, h, I Fig. : Moments applied to the arms of the specimen.

4 In our case, the stiffness of the adhesive is negligible compared to that of the steel and the composites used. So the expressions of the energy release rate components can be expressed by the following formulae : G I = BE I ( M ψm ) ψ ( + ψ ) G = II BEI K + + ψ ( M M ) () G = G + G T I II EI with ψ = and E I K = I I, where I is the equivalent second moment of the total area. DCB Tests (Fig. -a) Under DCB test conditions, we have M = M = Pa, and the Eqs. become : ( ) + ψ Pa G I =, G II = 0 BE I ψ If in particular, E = E = E, h = h = h and I = I, we obtain the well known result : P a G I = 3 EB h ENF and ELS tests (Fig. -b) Under pure mode II loading, we have M = ψm, and the equations () become : G I = 0, G = ( ) ( ) + ψ BEI ψ + K M II For ENF tests, in the case of E = E = E, h = h = h and M = M = Pa 4, we obtain likewise the well known result in pure mode II loading : 9P a G II = 3 6EB h IDCB Tests (Fig. -c). IDCB tests [0] give varying ratio mixed mode testing, their mixed mode ratios depend on the displacement imposed before loading. The load P and reaction at imposed displacement position R were measured during tests, thus allowing us to easily determine the G I, G II, and G T values by using Eqs. with M = - Pa and M = Ra.

6 series, carbonepoxy series, glassepoxy 0 90 series 3, glassepoxy G TC (Jm²) G II G TC % Figure 3 : Variation of critical strain energy release rate G TC as a function of G TI G TC. G TC (Jm²) expérimental m= m= GII GTC % Figure 4 : Application of the criterion G TC = G IC + (G IIC - G IC )(G II G TC ) m for carbonepoxy-carbonepoxy adhesive bonded joints.

7 G TC (Jm²) expérimental m= m= G II G TC % Figure 5 : Application of the criterion G TC = G IC + (G IIC - G IC )(G II G TC ) m for (090) glassepoxy-steel adhesive bonded joints. G TC (Jm²) expérimental m= m= G II G TC % Figure 6 : Application of the criterion G TC = G IC + (G IIC - G IC )(G II G TC ) m for (+45-45) glassepoxy-steel adhesive bonded joints. CONCLUSION. The study showed an influence of the composite adherends on the fracture toughness of the adhesive bonded joint, as well as an influence of the fibre orientation in the adjacent plies of the laminates on the behaviour of the adhesive bonded joint.

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