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Beam on elastic foundation with anticlastic curvature: Application to analysis of mode I fracture tests
Authors:Julien Jumel  Michal K Budzik  Martin ER Shanahan
Affiliation:Université de Bordeaux, Institut de Mécanique et d’Ingénierie-Bordeaux (I2M UMR 5295), 351 cours de la Libération, 33400 Talence, France
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.
Keywords:Anticlastic curvature  DCB  Elastic foundation  Energy release rate  Mode I  Wedge test
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