Behaviour of Buried Flexible Cylinders Under the Influence of Nonuniform Hoop Compression

摘要

General linearised differential equations of equilibrium are derived for a thin circular cylinder under the influence of nonuniform initial stress. The problem of a long flexible tube buried in an elastic continuum prestressed by nonhydrostatic biaxial field stress is studied. The classical eigenvalue problem is formulated to determine the distributions of nonuniform stress resultants which destabilise the tube in its initial circular configuration. The simplest ring theory where only bending deformations are considered is found to provide a simple and accurate solution to the problem, and a parametric study is carried out to facilitate the use of the solution.