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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

Book Review

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Book Information

Author(s): Phillippe Ciarlet
Title: Mathematical elasticity. Vol.\/} 1. {\it Three-dimensional elasticity
Additional book information: Studies in Mathematics and Its Applications, vol. 20, Elsevier Science Publishers, Amsterdam, 1988, 451 pp., US$107.25. ISBN 0-444-70259-8


References:

[1]
J. M. Ball, Convexity conditions and existence theorems in nonlinear elasticity, Arch. Rational Mech. Anal. \textbf{63} (1977), 337--403.
[2]
J. E. Marsden and T. J. R. Hughes, Mathematical foundations of elasticity, Prentice-Hall, Englewood Cliffs, NJ, 1983.
[3]
A. Miekle, \emph{Hamiltonian and Lagrangian flows on center manifolds with applications to elliptic variational problems}, Springer, New York, 1991.
[4]
R. W. Ogden, Non-linear elastic deformations, Ellis Horwood, Chichester, 1984.
[5]
V. Sverak, Rank-one convexity does not imply quasi-convexity, Proc. Roy. Soc. Edinburgh, Sect. A \textbf{120} (1992), 185--189.
[6]
C. Truesdell and W. Noll, The non-linear field theories of mechanics, Handbuch der Physik, Vol. III/3, Springer, Berlin, 1965.
[7]
C. Truesdell and R. A. Toupin, The classical field theories, Handbuch der Physik, Vol. III/1, Springer, Berlin, 1960.


Additional Information:

Reviewer(s):
R. J. Knops

Review Information:
Journal: Bull. Amer. Math. Soc. 31 (1994), 246-252.
DOI: 10.1090/S0273-0979-1994-00528-2
PII: S 0273-0979(1994)00528-2


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