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An Application of Saint Venant's Theory to Volterra's Distortions

机译：圣维南理论在沃尔泰拉畸变中的应用

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摘要

This paper deals with the analysis of the sixth elementary Volterra's distortion for a circular hollow, homogeneous, elastic, isotropic cylinder. More precisely, the specific load connected to the sixth distortion is proved to be equivalent (in Saint Venant's theory) to a right combined compressive and bending stress and to a right combined tensile and bending stress. Our results have been applied to a material made up of steel to compare the obtained numerical results with Volterra's predictions: the values calculated through Saint Venant's theory are more strictly related to those calculated by Volterra when the cylinder thickness tends to zero.
机译：本文分析了圆形空心，均质，弹性，各向同性圆柱体的第六基本Volterra变形。更精确地，与第六次变形有关的比载荷被证明（在圣维南理论中）等效于正确的压缩应力和弯曲应力的组合以及正确的拉伸应力和弯曲应力的组合。我们的结果已应用于由钢制成的材料，以将获得的数值结果与Volterra的预测进行比较：当圆柱体厚度趋于零时，通过Saint Venant理论计算出的值与Volterra计算出的值更严格相关。

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  • 来源
    《Mathematical Problems in Engineering》 |2011年第2期|p.1-18|共18页
  • 作者

    Ivana Bochicchio; Ettore Laserra; Massimo Pecoraro;

  • 作者单位

    Dipartimento di Matematica e Informatica, Universita di Salerno, Via Ponte Don Melillo, 1-84084 Fisciano (SA), Italy;

    Dipartimento di Matematica e Informatica, Universita di Salerno, Via Ponte Don Melillo, 1-84084 Fisciano (SA), Italy;

    Dipartimento di Ingegneria dell'Informazione e Matematica Applicata, Universita di Salerno, Via Ponte Don Melillo, 84084 Fisciano (SA), Italy;

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