Theory of magnetostriction with applications to Tb_xDy_1-xFe₂

References

• Al-Jiboory , M. and Lord , D. G. 1990 . IEEE Trans, magn. , 26 : 2583
   Web of Science ®Google Scholar
• Ball , J. M. 1989 . Lecture Notes in Physics , Edited by: Rascle , M. , Serre , D. and Slemrod , M. Vol. 344,344 , 207 – 215 . Berlin : Springer .
   Google Scholar
• Ball , J. M. , Holmes , P. J. , James , R. D. , Pego , R. L. and Swart , P. J. 1990 . J. nonlinear Sci , 1 : 17
   Google Scholar
• Ball , J. M. and James , R. D. 1987 . Archs ration. Mech. Analysis , 100 : 13 1992, Phil. Trans. R. Soc, Lond. A, 338, 389.
   Web of Science ®Google Scholar
• Bhattacharya , K. 1991 . Acta metall. Mater. , 39 : 2431
   Google Scholar
• Birss , R. R. 1964 . Selected topics in solid state physics Edited by: Wohlfarth , E. P. Vol. III , North Amsterdam , , Holland
   Google Scholar
• Brown , W. F. 1962 . Selected Topics in Solid State Physics Edited by: Wohlfarth , E. P. Amsterdam , , North Holland 1963, Micromagnetics (New York: Wiley); 1966, Magnetoelastic Interactions, Springer Tracts in Natural Philosophy, 9, edited by C. Truesdell (Berlin: Springer-Verlag).
   Google Scholar
• Chipot , M. and Kinderlehrer , D. 1988 . Archs ration. Mech. Analysis , 103 : 237
   Web of Science ®Google Scholar
• Clark , A. E. 1980 . Ferromagnetic Materials Edited by: Wohlfarth , E. P. Vol. 1 , Amsterdam , , North Holland Chap. 7, 1992, High power rare earth magnetostrictive materials, Proc. Conference on Smart Materials, Virginia Polytechnic Institute.
   Google Scholar
• Clark , A. E. , Teter , J. P. and McMasters , O. D. 1988 . J. appl. Phys. , 63 : 3910
   Web of Science ®Google Scholar
• Clark , A. E. , Verhoven , J. D. , McMasters , O. D. and Gibson , E. D. 1986 . IEEE Trans. magn. , 22 : 973
   Web of Science ®Google Scholar
• De Simone , A. 1992 . Energy minimizers for large ferromagnetic bodies . Archs ration. Mech. Analysis , (to be published); see also Thesis, University of Minnesota.
   Web of Science ®Google Scholar
• Ericksen , J. L. 1977 . Adv. appl. Mech. , 7 : 189 1980, Archs ration. Mech. Analysis, 73, 99; 1984, Phase Transformations and Material Instabilities in Solids, edited by M. E. Gurtin, (New York: Academic), pp. 61–77; 1991, J. Elasticity, 26, 65.
   Google Scholar
• Gérard , P. 1993 . Ann. scient. de ľÉcole Normale Superieure , (to be published).
   Google Scholar
• James , R. D. 1984 . Archs ration. Mech. Analysis , 86 : 13
   Web of Science ®Google Scholar
• James , R. D. and Kinderlehrer , D. 1989 . Lecture Notes in Physics , Edited by: Rascle , M. , Serre , D. and Slemrod , M. Vol. 344 , 51 – 84 . Berlin : Springer . 1990, Cont. Mech. Thermodyn., 2, 215; 1991, Proceedings Conference Pont a Mousson, edited by C Bandle, J. Benelmans, M. Chipot, M. Gruter, J. St. Jean Paulin, Progress in PDE (London: Longman); 1992, Proceedings of International Conference on Martensitic Transformations (to be published).
   Google Scholar
• James , R. D. and Müller , S. 1993 . Cont. Mech. Thermodyn. , (to be published).
   Google Scholar
• Kinderlehrer , D. and Pedregal , P. 1991 . Arch. Ration. Mech. Analysis , 115 : 329
   Web of Science ®Google Scholar
• Kohn , R. V. 1991 . Cont. Mech. Thermodyn. , 3 : 193 – 236 .
   Web of Science ®Google Scholar
• Kohn , R. V. and Müller , S. 1992 . Phil. Mag. , A66 : 697
   Google Scholar
• Lord , D. G. Lectures given at the IMA Conference on Microstructure . University of Minnesota . 1992 at the workshop on Micromagnetics and Magnetostriction at Heriot-Watt University.
   Google Scholar
• Lord , D. G. , Elliot , V. , Clark , A. E. , Savage , H. T. , Teter , J. P. and McMasters , O. D. 1988 . IEEE Trans, magn. , 24 : 1716
   Web of Science ®Google Scholar
• Lorentz , H. A. 1909 . Theory of Electrons , Leipzig : B. G. Teubner .
   Google Scholar
• Luskin , M. and Ma , L. Analysis of the finite element approximation in micromagnetics, Proceedings of SPIE Conference on Smart Materials . (to be published).
   Google Scholar
• Miyazaki , S. , Kimura , S. and Otsuka , K. 1988 . Phil. Mag. , A57 : 467
   Google Scholar
• Miyazaki , S. and Wayman , C. M. 1988 . Acta. metali , 36 : 181
   Google Scholar
• Pedregal , P. 1993 . Relaxation in ferromagnetism: the rigid case . (to be published).
   Google Scholar
• Pitteri , M. 1984 . J. Elasticity , 14 : 175
   Web of Science ®Google Scholar
• Rogers , R. C. 1988 . SIAM J. math. Anal. , 19 : 1329 1991, J. integral Eauations Appl., 3, 85.
   Web of Science ®Google Scholar
• Savage , H. T. , Clark , A. E. and Powers , J. M. 1975 . IEEE Trans, magn. , 11 : 1355
   Web of Science ®Google Scholar
• Savage , H. T. , Clark , A. E. and Spano , M. L. 1984 . IEEE Trans, magn. , 20 : 1449
   Web of Science ®Google Scholar
• Simha , N. 1991 . MS Thesis , University of Minnesota .
   Google Scholar
• Spano , M. L. , Clark , A. E. and Wun-Fogle , M. 1990 . IEEE Trans, magn. , 26 : 1751
   Web of Science ®Google Scholar
• Tartar , L. 1990 . Proc. R. Soc. Edinb. , A115 : 193 1991, personal communication based on a lecture on magnetism given at Carnegie Mellon University.
   Google Scholar
• Teter , J. P. , Mahoney , K. , Al-Jiboory , M. , Lord , D. G. and McMasters , O. D. 1991 . J. appl. Phys. , 69 : 5768
   Web of Science ®Google Scholar
• Teter , J. P. , Wun-Fogle , M. , Clark , A. E. and Mahoney , K. 1990 . J. appl. Phys. , 67 : 5004
   Web of Science ®Google Scholar
• Toupin , R. 1956 . J. ration. Mech. Analysis , 5 : 849
   Web of Science ®Google Scholar
• Truesdell , C. and Toupin , R. 1960 . “ The classicalfield theories ” . In the Encyclopedia of Physics , Edited by: Flügge , S. Berlin : Springer .
   Google Scholar
• Young , L. C. 1969 . Lectures on the Calculus of Variations and Optimal Control Theory , Philadelphia, Pennsylvania : W. B. Saunders .
   Google Scholar
• Zanzotto , G. 1992 . Archs ration. Mech. Analysis , 121 : 1
   Web of Science ®Google Scholar