Beam on elastic foundation with anticlastic curvature: Application to analysis of mode I fracture tests |
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Authors: | Julien Jumel Michal K Budzik Martin ER Shanahan |
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Affiliation: | Université de Bordeaux, Institut de Mécanique et d’Ingénierie-Bordeaux (I2M UMR 5295), 351 cours de la Libération, 33400 Talence, France |
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Abstract: | A first order correction is proposed taking into account both interface elasticity and transverse anticlastic curvature of flexible substrate(s) in the DCB (and related tests). Adherends are represented by Kirchhoff–Love plates, and the interface by a Winkler-type elastic foundation. Two functions are introduced, representing evolution of beam deflection along the sample midline and anticlastic curvature along the plate. A method of virtual work is used to find the associated equilibrium equation. The two-dimensional sample deformation is determined semi-analytically. Sample rigidity and energy release rate are computed for various geometrical configurations and compared to more common models. |
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Keywords: | Anticlastic curvature DCB Elastic foundation Energy release rate Mode I Wedge test |
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