Journal of Engineering Mathematics

, Volume 21, Issue 2, pp 149–154 | Cite as

Linear instability of the electroforming process

  • A. A. Lacey
  • J. A. McGeough
  • M. Shillor


In a mathematical model for the electroforming process a linear stability analysis shows that the metal/electrolyte interface is unstable under small perturbations. Thus the model is ill-posed, so a different dynamic condition on the free boundary is suggested which allows nonuniformities to form but eliminates infinite front velocities, thus reflecting better the actual process.


Mathematical Model Stability Analysis Industrial Mathematic Actual Process Free Boundary 
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  1. 1.
    J.A. McGeough and H. Rasmussen, A perturbation analysis of the electroforming process, J. Mech. Engng. Sci. 18 (1976) 271–278.Google Scholar
  2. 2.
    W.W. Mullins and R.F. Sekerka, Stability of planar interface during solidification of a dilute binary alloy, J. Appl. Phys. 35 (1964) 444–451.Google Scholar
  3. 3.
    C.M. Elliott and J.R. Ockendon, Weak and variational methods for moving boundary problems, London: Pitman (1982).Google Scholar
  4. 4.
    J.A. McGeough and H. Rasmussen, A macroscopic model of electro-discharge machining, Int. J. Mech. Tool Des. 22 (1982) 333–339.Google Scholar
  5. 5.
    A.A. Lacey, Moving boundary problems in the flow of liquid through porous media, J. Austral. Math. Soc. B 24 (1982) 171–193.Google Scholar
  6. 6.
    J.A. McGeough, Principles of Electrochemical Machining, London: Chapman and Hall (1974).Google Scholar
  7. 7.
    E. Comparini and R. Ricci, On the swelling of a glassy polymer in contact with well stirred solvent, Math. Meth. Appl. Sci. 7 (1985) 238–250.Google Scholar

Copyright information

© Martinus Nijhoff Publishers 1987

Authors and Affiliations

  • A. A. Lacey
    • 1
  • J. A. McGeough
    • 2
  • M. Shillor
    • 3
  1. 1.Department of MathematicsHeriot-Watt UniversityRiccartonUK
  2. 2.Department of Mechanical EngineeringUniversity of EdinburghEdinburghUK
  3. 3.Department of MathematicsImperial CollegeLondonUK

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