Abstract:
The paper considers elastic-plastic deformation of a composite in a state of plane deformation under the action of a load that ensures normal rupture of the adhesive layer. The sample consists of two identical plates connected by a thin adhesive. From the general variational formulation, taking into account the Mindlin—Reissner plate theory and the Tresca—Saint-Venant criterion, under the condition of complete plasticity (equality of the two main stresses acting orthogonally to the separation), a differential formulation is obtained. The moderately plastic Araldite 2015 is used as the adhesive material, and steel is used for the mating bodies. It is believed that one area of irreversible deformations is formed, which is localized at the end of the adhesive layer, and the mating bodies and the rest of the adhesive are deformed according to the linear theory of elasticity. A general analytical solution to the problem in the plastic area is given in the form of functions of the displacement field of the upper boundary of the adhesive. The influence of such geometric characteristics of the composite as the length of the section where there is no interface of bodies with the layer, the length of the adhesive layer, the height of the mating bodies and the height of the layer on the stress state of the adhesive layer has been studied. It is shown that, in addition to the length of the adhesive, these values have an effect on the size of the plastic section and the distribution of average stresses in the adhesive layer.
Keywords:adhesive layer, composite, normal separation, elastic-plastic deformation.
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