Title page for ETD etd-12132006-022128

Type of Document Master's Thesis
Author Harutyunyan, Satenik
Author's Email Address sharutyu@vt.edu
URN etd-12132006-022128
Title Magneto-Elastic Interactions in a Cracked Ferromagnetic Body
Degree Master of Science
Department Materials Science and Engineering
Advisory Committee
Advisor Name Title
Reynolds, William T. Jr. Committee Chair
Hasanyan, Davresh Committee Member
Wang, Yu Committee Member
  • Ferromagnetic
  • Crack
  • Nonlinear Law of Magnetization
  • Magnetoelasticity
Date of Defense 2006-11-30
Availability restricted
The stress-strain state of ferromagnetic plane with a moving crack has been investigated in this study. The model considers a soft magnetic ferroelastic body and incorporates a realistic (nonlinear) susceptibility. A moving crack is present in the body and is propagating in a direction perpendicular to the magnetic field. Assuming that the processes in the moving coordinates are stationary, a Fourier transform method is used to reduce the mixed boundary value problem to the solutions of a pair of dual integral equations yielding to a closed form solution. As a result of this investigation, the magnetoelastic stress intensity factor is obtained and its dependency upon the crack velocity, material constants and nonlinear law of magnetization are highlighted. It has been shown that stress result around the crack essentially depend on external magnetic field, speed of the moving crack, nonlinear law of magnetization, and other physical parameters. The results presented in this work show that when cracked ferromagnetic structure is under the influence of magnetic field it is necessary to take into account the interaction effects between deformation of the body and magnetic field and that such interaction can bring to a new conditions for strengthening the materials. Closed form solutions for the stress-strain state are obtained, graphical representations are supplied and conclusions and prospects for further developments are outlined.

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