Abstract

A non-linear fracture mechanics model for adhesive joint strength analysis is presented. It is a unified theory that incorporates linear and non-linear stress analyses as well as linear elastic fracture mechanics as special cases. The bondline property is described by a complete stress-deformation response for combined bondline shear and tension, including gradual damage and strain softening to zero stress. This response is defined by stress deformation curves for pure shear and pure tension and by an equation for the coupling. The curves for pure shear and tension can be defined by three bondline properties: strength, fracture energy and the shape of the curve, where the fracture energy is the energy required to bring one unit of the bondline to complete failure. Methods for testing a complete bondline stress deformation curve have been developed for pure shear, pure tension and arbitrary mixed mode deformations. Test results are shown for wood-to-wood and wood-to-steel adhesive bonds. Also an apparently brittle adhesive like resorcinol/phenol was found to have a significant post-peak stress ductility. Strength analyses are presented for timber truss joints, finger joints and glued-in rod joints. The strength analyses are made by finite element implementation of the present model and also by a quasi-non-linear simplification of the model making analytical calculations possible. Comparisons are made with test results and with linear elastic fracture mechanics. Also the importance of the bondline properties in the case of wood failure along the bondline is illustrated by tests results.

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