Abstract
We consider a thermoelastic problem for an adhesively bonded assembly with identical nondeformable adherends and nonhomogeneous adhesive layer: its midportion has a larger coefficient of thermal expansion (contraction), larger Young's modulus and smaller Poisson's ratio than the peripheral portions. An elongated assembly is examined, and the case when the assembly is manufactured at an elevated temperature and is subsequently cooled down to a low temperature is addressed.
The objective of the analysis was to develop a simple stress model for the evaluation of the thermally induced stresses and displacements in the adhesive layer. These arise because of the thermal contraction mismatch of the adhesive material with the material of the adherends, as well as because of the mismatch of the material in the midportion of the adhesive layer with the material in the peripheral portions. We conclude that sufficiently long peripheral portions can reduce substantially the stresses and the distortions of the cross-sections in the mid-portion of the adhesive layer, thereby resulting in a situation when an appreciable inner region of the midportion has a uniform state of stress and strain, and next-to-zero longitudinal displacements. The obtained results can be helpful in the analysis and design of adhesively bonded assemblies of the type in question.
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