Asymptotic analysis of a thin interface: The case involving similar rigidity

摘要: This study deals with a linear elastic body consisting of two solids connected by thin adhesive interphase small thickness e. The three parts have similar moduli. It is proposed to model the limit behavior when e -> 0. has been established [1], using matched asymptotic expansions, that at order zero, reduces perfect interface, while one, behaves like an imperfect transmission condition involving displacement and traction vectors zero. interface exactly recovered C-convergence argument. At higher order, new obtained studying properties suitable (weakly converging) sequence equilibrium solutions. Some analytical examples are given illustrate results obtained.