Beam on elastic foundation with anticlastic curvature: Application to analysis of mode I fracture tests

Julien Jumel; Michał Budzik; Martin Shanahan

doi:10.1016/j.engfracmech.2011.09.014

Beam on elastic foundation with anticlastic curvature: Application to analysis of mode I fracture tests

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 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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Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: ENGINEERING FRACTURE MECHANICS no. 78,
ISSN: 0013-7944
Language:: English
Publication year:: 2011
Bibliographic description:: Jumel J., Budzik M., Shanahan M.: Beam on elastic foundation with anticlastic curvature: Application to analysis of mode I fracture tests// ENGINEERING FRACTURE MECHANICS. -Vol. 78, nr. iss. 18 (2011),
DOI:: Digital Object Identifier (open in new tab) 10.1016/j.engfracmech.2011.09.014
Verified by:: Gdańsk University of Technology