کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
825307 | 1470038 | 2010 | 14 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Asymptotic analysis of a thin interface: The case involving similar rigidity Asymptotic analysis of a thin interface: The case involving similar rigidity](/preview/png/825307.png)
This study deals with a linear elastic body consisting of two solids connected by a thin adhesive interphase with a small thickness εε. The three parts have similar elastic moduli. It is proposed to model the limit behavior of the interphase when ε→0ε→0. It has been established [1], using matched asymptotic expansions, that at order zero, the interphase reduces to a perfect interface, while at order one, the interphase behaves like an imperfect interface, with a transmission condition involving the displacement and the traction vectors at order zero. The perfect interface model is exactly recovered using a ΓΓ-convergence argument. At a higher order, a new model of imperfect interface is obtained by studying the properties of a suitable (weakly converging) sequence of equilibrium solutions. Some analytical examples are given to illustrate the results obtained.
Journal: International Journal of Engineering Science - Volume 48, Issue 5, May 2010, Pages 473–486