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Acta Mechanica Solida Sinica

, Volume 20, Issue 3, pp 275–282 | Cite as

A penny-shaped crack in a magnetoelectroelastic layer under radial shear impact loading

  • Wenjie Feng
  • Hui Nie
  • Xu Han
Article

Abstract

This paper analyzes the dynamic magnetoelectroelastic behavior induced by a penny-shaped crack in a magnetoelectroelastic layer. The crack surfaces are subjected to only radial shear impact loading. The Laplace and Hankel transform techniques are employed to reduce the problem to solving a Fredholm integral equation. The dynamic stress intensity factor is obtained and numerically calculated for different layer heights. And the corresponding static solution is given by simple analysis. It is seen that the dynamic stress intensity factor for cracks in a magnetoelectroelastic layer has the same expression as that in a purely elastic material. And the influences of layer height on both the dynamic and static stress intensity factors are insignificant as h/a > 2.

Key words

magnetoelectroelastic layer penny-shaped crack impact stress intensity factor Hankel transform Laplace transform 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2007

Authors and Affiliations

  • Wenjie Feng
    • 1
  • Hui Nie
    • 1
  • Xu Han
    • 2
  1. 1.Department of Engineering MechanicsShijiazhuang Railway InstituteShijiazhuangChina
  2. 2.State Key Lab Adv Design & Manufacture Vehicle BoHunan UniversityChangshaChina

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