Process zone in the Single Cantilever Beam under transverse loading: Part I: Theoretical analysis

Abstract

Single Cantilever Beam (SCB) specimen loaded with a transverse force parallel to the crack front is proposed for the analysis of crack propagation phenomena under mixed mode conditions. The stress redistribution in the adhesive layer in the vicinity of the crack front so as the beam deformation are estimated using a Timoshenko beam on elastic foundation model. This model emphasizes the Mode II contribution due to flexural beam rotation but also the cleavage due to the beam torsion induced by the eccentricity of the adhesive layer with respect to the beam neutral axis. Finally, one dimensional representation is assessed by comparing analytical solution with finite elements calculations, proving that this analysis is suitable for the analysis of the SCB test under transverse loading.