The phenomenon of buckling of a nonlinearly elastic hollow circular cylinder with dislocations under the action of hydrostatic pressure is studied. The tensor field of the density of continuously distributed dislocations is assumed to be axisymmetric. The subcritical state is described by a system of nonlinear ordinary differential equations. To search for equilibrium positions that differ little from the subcritical state, the bifurcation method is used. Within the framework of the model of a compressible semi-linear (harmonic) material, the critical pressure at which the loss of stability occurs is determined, and the buckling modes are investigated. The effect of edge dislocations on the equilibrium bifurcation is analyzed. It is shown that the loss of stability can also occur in the absence of an external load, i.e., due to internal stresses caused by dislocations.

研究了带位错的非线性弹性空心圆柱体在静水压力作用下的屈曲现象。假设连续分布位错密度的张量场是轴对称的。亚临界状态由非线性常微分方程组描述。为了寻找与亚临界状态相差不大的平衡位置，使用分叉法。在可压缩半线性（谐波）材料模型的框架内，确定了发生稳定性损失的临界压力，并研究了屈曲模式。分析了刃位错对平衡分岔的影响。结果表明，在没有外部负载的情况下也会发生稳定性损失，即