Abstract—

For an elastic isotropic incompressible material of general form, a number of exact solutions have been found about large torsional and tensile–compressive deformations of a solid circular cylinder, taking into account distributed dislocations. Explicit formulas are obtained that determine the effect of dislocations on the dependences of the torque and longitudinal force on the twist angle and axial elongation. The main results are formulated in a form that allows experimental verification.

中文翻译：

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弹性圆柱非线性错位理论的通用解

摘要-

对于一般形式的弹性各向同性不可压缩材料，考虑到分布的位错，已经找到了许多有关固态圆柱体大扭转和拉伸-压缩变形的精确解。获得了明确的公式，该公式确定了位错对扭矩和纵向力对扭转角和轴向伸长率的依赖性的影响。主要结果以可以进行实验验证的形式制定。