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Asymptotic modelling of bonded plates by a soft thin adhesive layer. (English) Zbl 1434.74078

Summary: In the present paper, a composite structure is considered. The structure is made of three homogeneous plates: two linear elastic adherents and a thin adhesive. It is assumed that elastic properties of the adhesive layer depend on its thickness \(\varepsilon\) as \(\varepsilon\) to the power of 3. Passage to the limit as \(\varepsilon\) goes to zero is justified and a limit model is found in which the influence of the thin adhesive layer is replaced by an interface condition between adherents. As a result, we have analog of the spring type condition in the plate theory. Moreover, a representation formula of the solution in the adhesive layer has been obtained.

MSC:

74K20 Plates
Full Text: DOI

References:

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