Abstract—

A solution is found by the method of perturbations with an accuracy up to values of the second order of smallness, which describes the state of an inhomogeneous elastoplastic thick-walled pipe under the action of compressive forces. Deviations of the contour of the cross-section of the pipe from the circumference and inhomogeneity of the material are characterized by independent small parameters. A condition is obtained under which, in the case of an experimental analysis of the pipe state, the average values of stresses and displacements will be close to those in the axisymmetric state.

中文翻译：

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随机非均质厚壁管的应力应变状态

摘要-

通过摄动法找到了一种解决方案，其精度高达第二级小值，该解描述了不均匀的弹塑性厚壁管在压缩力作用下的状态。管道横截面轮廓相对于材料的周长和不均匀性的偏差通过独立的小参数来表征。获得了一种条件，在该条件下，在对管道状态进行实验分析的情况下，应力和位移的平均值将接近轴对称状态下的平均值。