Boundary Layer Analysis for Some Problems of Singular Domain Perturbation

摘要: This article is concerned with analyzing the effect of small circular holes in a plane domain on solution certain nonlinear boundary value problems. Apart from its intrinsic mathematical interest, this problem has various applications. Examples include stress concentration thin elastic membranes and shells at edge hole, buckling plates shells, which may be bifurcation or snapping type. It usually much simpler to calculate stresses critical loads for shell without hole. Therefore, it interest assess asymptotically singular perturbation loads. Another application relates tubular chemical reactors, where internal cooling pipes diameter are inserted into reactor vessel.