Acta Mechanica Solida Sinica

, Volume 27, Issue 6, pp 588–596 | Cite as

The Eigenvalue Problem and Saint-Venant Decay Rate for a Nonhomogeneous Semi-Infinite Strip

Article

Abstract

The eigenvalue problem about a nonhomogeneous semi-infinite strip is investigated using the methodology proposed by Papkovich and Fadle for homogeneous plane problems. Two types of nonhomogeneity are considered: (i) the elastic modulus varying with the thickness coordinate x exponentially, (ii) it varying with the length coordinate y exponentially. The eigenvalues for the two cases are obtained numerically in plane strain and plane stress states, respectively. By considering the smallest positive eigenvalue, the Saint-Venant Decay rates are estimated, which indicates material nonhomogeneity has a significant influence on the Saint-Venant end effect.

Key Words

eigenvalue Saint-Venant decay rate nonhomogeneous semi-infinite strip 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2014

Authors and Affiliations

  • Qing Yang
    • 1
  • Bailin Zheng
    • 1
  • Kai Zhang
    • 1
  • Jianxin Zhu
    • 1
  1. 1.School of Aerospace Engineering and Applied MechanicsTongji UniversityShanghaiChina

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