Book Review
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MathSciNet review:
1568136
Full text of review:
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Book Information:
Author:
Phillippe Ciarlet
Title:
Mathematical elasticity. Vol. 1. 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.
John M. Ball, Convexity conditions and existence theorems in nonlinear elasticity, Arch. Rational Mech. Anal. 63 (1976/77), no. 4, 337–403. MR 475169, DOI 10.1007/BF00279992
[2] J. E. Marsden and T. J. R. Hughes, Mathematical foundations of elasticity, Prentice-Hall, Englewood Cliffs, NJ, 1983.
Alexander Mielke, Hamiltonian and Lagrangian flows on center manifolds, Lecture Notes in Mathematics, vol. 1489, Springer-Verlag, Berlin, 1991. With applications to elliptic variational problems. MR 1165943, DOI 10.1007/BFb0097544
[4] R. W. Ogden, Non-linear elastic deformations, Ellis Horwood, Chichester, 1984.
Vladimír Šverák, Rank-one convexity does not imply quasiconvexity, Proc. Roy. Soc. Edinburgh Sect. A 120 (1992), no. 1-2, 185–189. MR 1149994, DOI 10.1017/S0308210500015080
C. Truesdell and W. Noll, The non-linear field theories of mechanics, Handbuch der Physik, Band III/3, Springer-Verlag, Berlin, 1965. MR 0193816
C. Truesdell and R. Toupin, The classical field theories, Handbuch der Physik, Bd. III/1, Springer, Berlin. With an appendix on tensor fields by J. L. Ericksen. MR 0118005
- [1]
- J. M. Ball, Convexity conditions and existence theorems in nonlinear elasticity, Arch. Rational Mech. Anal. 63 (1977), 337-403. MR 0475169 (57:14788)
- [2]
- J. E. Marsden and T. J. R. Hughes, Mathematical foundations of elasticity, Prentice-Hall, Englewood Cliffs, NJ, 1983.
- [3]
- A. Miekle, Hamiltonian and Lagrangian flows on center manifolds with applications to elliptic variational problems, Lecture Notes in Math., vol. 1489, Springer, New York, 1991. MR 1165943 (93f:58080)
- [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 120 (1992), 185-189. MR 1149994 (93b:49026)
- [6]
- C. Truesdell and W. Noll, The non-linear field theories of mechanics, Handbuch der Physik, Vol. III/3, Springer, Berlin, 1965. MR 0193816 (33:2030)
- [7]
- C. Truesdell and R. A. Toupin, The classical field theories, Handbuch der Physik, Vol. III/1, Springer, Berlin, 1960. MR 0118005 (22:8778)
Review Information:
Reviewer:
R. J. Knops
Journal:
Bull. Amer. Math. Soc.
31 (1994), 246-252
DOI:
https://doi.org/10.1090/S0273-0979-1994-00528-2
