The quasistatic problem of determining the stress-strain state in a cylindrical axisymmetric layer is solved. The layer is subjected to the action of tangential forces directed along the axis of the cylinder and uniformly distributed over the outer surface of the layer whose inner surface is fixed. A hypoelasticity model for an incompressible material under finite strain is adopted. This model is based on using the following objective derivatives of the corotation type: the Jaumann derivative and the Green-McInnis-Naghdi derivative. The analysis of this model shows the existence of the Kelvin and Poynting effects.

中文翻译：

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有限应变下低弹性圆柱层的应力-应变状态

解决了确定圆柱轴对称层中应力应变状态的准静态问题。该层受到沿圆柱轴定向的切向力的作用，并均匀分布在其内表面固定的层的外表面上。采用了不可压缩材料在有限应变下的次弹性模型。该模型基于使用同动类型的以下目标导数：Jaumann导数和Green-McInnis-Naghdi导数。该模型的分析表明存在开尔文效应和坡印廷效应。