Dynamics of elastic bodies connected by a thin soft inelastic layer

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• 作者：Christian Licht^a ; ^b ; ^c ; ^{clicht@univ-montp2.fr} ; Somsak Orankitjaroen^b ; ^c ; ^{somsak.ora@mahidol.ac.th}
• 关键词：Bonding problems ; Generalized standard material ; Dynamics ; Maximal monotone operators
• 刊名：Comptes Rendus Mecanique
• 出版年：2013
• 出版时间：March, 2013
• 年：2013
• 卷：341
• 期：3
• 页码：323-332
• 全文大小：217 K

文摘

We extend the study of Licht et al. (2013) devoted to the dynamic response of a structure made of two linearly elastic bodies connected by a thin soft adhesive layer made of a Kelvin-Voigt-type nonlinear viscoelastic material to the case of a generalized standard material with a positive definite quadratic density of free energy. A concise formulation in terms of an evolution equation in a Hilbert space of possible states with finite energy makes it possible to identify the asymptotic behavior, when some geometrical and mechanical parameters tend to their natural limits, like the response of the two bodies connected by a mechanical constraint. Its law has the same structure as that of the adhesive but with coefficients accounting for the relative behavior of the parameters.