AN ASYMPTOTIC ANALYSIS OF JUNCTIONS OF NONHOMOGENEOUS ELASTIC RODS - BOUNDARY-LAYERS AND ASYMPTOTIC EXPANSIONS

The problem of the junction of two non-homogeneous rods, the rigidity of one being an order of magnitude greater than that of the other, is considered. The problem depends on two parameters, e and w, where e is the ratio of the rod diameter to its length, and w is the ratio of the elastic moduli of the rods. A complete asymptotic series is constructed for solving the problem as e --> 0, w --> infinity.