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Original Articles

STRESSES IN AN ABLATING CYLINDER

Pages 263-279 | Received 27 Oct 1989, Published online: 05 Apr 2007

References

  • L. I. Rubinstein , The Stefan Problem (trans. A. D. Solomon), Translations of Mathematical Monographs , vol. 27 , American Mathematical Society , Providence , R.I. , 1971 .
  • L. N. Tao , The Exact Solution to an Ablation Problem with Arbitrary Initial and Boundary Conditions , ASMEJ. Appl. Mech. , vol. 51 , pp. 821 – 826 , 1984 .
  • J. G. Andrews and D. R. Atthey , J. Inst, Math. Appl. , vol. 15 , pp. 59 – 72 , 1975 .
  • K. Stewartson and R. T. Waechter , Proc. Roy. Soc. , vol. 348A , pp. 415 – 426 , 1976 .
  • C. Elliot and J. R. Ockendon , Weak and Variational Methods for Moving Boundary Problems , Research Notes in Mathematics 59 , Pitman , London , 1982 .
  • K. Miller and R. Milter , Moving Finite Elements, Part I , SIAM J. Numer. Anal. , vol. 18 , pp. 1019 – 1032 , 1981 .
  • D. R. Lynch and K. O'Neill , Continuously Deforming Finite Elements for the Solution of Parabolic Problems, with and without Phase Change , Int. J. Numer. Meth. Eng. , vol. 17 , pp. 81 – 96 , 1981 .
  • J. Crank , Free and Moving Boundary Problems , chap. 4 , Clarendon Press , Oxford , U.K. , 1984 .
  • M. A. Brull , Heat Conduction and Thermal Stresses in the Presence of Chemical Reactions , M.M.S. Technical Report , Tel Aviv University , Israel , 1984 .
  • D. Givoli and I. Levit , A Solution of One-Dimensional Moving Boundaries Problems by the Finite Element Method , Comput. Struct. , vol. 24 , pp. 273 – 280 , 1986 .
  • M. Van Dyke, Perturbation Methods in Fluid Mechanics , chap. 5 , Parabolic Press , Stanford , Calif. , 1975 .
  • C. M. Bender and S. A. Orszag , Advanced Mathematical Methods for Scientists and Engineers , p. 558 , McGraw-Hill , New York , 1978 .

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