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Acta Mechanica Solida Sinica

, Volume 20, Issue 2, pp 180–188 | Cite as

Analysis on the magneto-elastic-plastic buckling/snapping of cantilever rectangular ferromagnetic plates

  • Yuanwen Gao
Article

Abstract

An analysis of buckling/snapping and bending behaviors of magneto-elastic-plastic interaction and coupling for cantilever rectangular soft ferromagnetic plates is presented. Based on the expression of magnetic force from the variational principle of ferromagnetic plates, the buckling and bending theory of thin plates, the Mises yield criterion and the increment theory for plastic deformation, we establish a numerical code to quantitatively simulate the behaviors of the nonlinearly multi-fields coupling problems by the finite element method. Along with the phenomena of buckling/snapping and bending, or the characteristic curve of deflection versus magnitude of applied magnetic fields being numerically displayed, the critical loads of buckling/snapping, and the influences of plastic deformation and the width of plate on these critical loads, the plastic regions expanding with the magnitude of applied magnetic field, as well as the evolvement of deflection configuration of the plate are numerically obtained in a case study.

Key words

buckling/snapping and bending cantilever rectangular ferromagnetic plate plastic yield 

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Copyright information

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

Authors and Affiliations

  • Yuanwen Gao
    • 1
  1. 1.Key Laboratory of Mechanics on Western Disaster and Environment, College of Civil Engineering and MechanicsLanzhou UniversityLanzhouChina

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