Abstract
Numerous experiments have revealed that the interfacial strength of adhesive bonding systems increases when the adhesive layer thickness decreases from several millimeters to hundreds of microns. On the basis of the strain gradient elasticity and the nominal-strain failure criterion, a trans-scale model is proposed to characterize the thickness-dependent interfacial strength of the cylindrical scarf joints. The interfacial strengths predicted by this model match well with the previous experimental results. For a given adhesive layer thickness but varying scarf angles, the relation between the interfacial tension and shear strengths can be depicted by a circle, while the relation between the critical nominal tension and shear strains is described by an ellipse. As the adhesive gets thinner, the strength circle and the critical strain ellipse expand outward, indicating larger interfacial strength and critical strain due to the stronger strain gradient effect. The present study reveals the crucial role of the strain gradients, induced by the adherend constraints, in elevating the interfacial strength of adhesive bonding systems. The corresponding results are helpful to achieve ultra-strong interface bonding via constrained micro-scale adhesive layers.
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