Book Review
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MathSciNet review:
1568151
Full text of review:
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Book Information:
Author:
M. Ciarletta and D. Iesan
Title:
Non-classical elastic solids
Additional book information:
Pitman Research Notes in Mathematics, vol. 293, Longman Scientific \& Technical, Harlow, Essex, 345 pp., US$74.95. ISBN 0-582-22716-X.
S. S. Antman, Dynamical problems for geometrically exact theories of nonlinearly viscoelastic rods [ MR1375818 (96m:73020)], Mechanics: from theory to computation, Springer, New York, 2000, pp. 1–18. MR 1766356
J. S. Marshall and P. M. Naghdi, A thermodynamical theory of turbulence. I. Basic developments, Philos. Trans. Roy. Soc. London Ser. A 327 (1989), no. 1595, 415–448. MR 988863, DOI 10.1098/rsta.1989.0001
[3] P.M. Naghdi, The theory of shells and plates, Handbuch der Physik, vol. VIa/2, Springer-Verlag, New York, 1972, pp. 425-640.
Jace W. Nunziato and Stephen C. Cowin, A nonlinear theory of elastic materials with voids, Arch. Rational Mech. Anal. 72 (1979/80), no. 2, 175–201. MR 545517, DOI 10.1007/BF00249363
[5] R.E. Rosensweig, Ferrohydrodynamics, Cambridge Univ. Press, London, 1985.
C. Truesdell and W. Noll, The non-linear field theories of mechanics, 3rd ed., Springer-Verlag, Berlin, 2004. Edited and with a preface by Stuart S. Antman. MR 2056350, DOI 10.1007/978-3-662-10388-3
- [1]
- S.S. Antman, The theory of rods, Handbuch der Physik, vol. VIa/2, Springer-Verlag, New York, 1972, pp. pp. 641-703. MR 1766356
- [2]
- J.S. Marshall and P.M. Naghdi, A thermodynamic theory of turbulence. I. Basic developments. II. Determination of constitutive coefficients and illustrative examples, Philos. Trans. Roy. Soc. London Ser. A 327 (1989), 415-475. MR 988863 (90d:76032)
- [3]
- P.M. Naghdi, The theory of shells and plates, Handbuch der Physik, vol. VIa/2, Springer-Verlag, New York, 1972, pp. 425-640.
- [4]
- J.W. Nunziato and S.C. Cowin, A nonlinear theory of elastic materials with voids, Arch. Rational Mech. Anal. 72 (1979), 175-201. MR 545517 (80k:73010)
- [5]
- R.E. Rosensweig, Ferrohydrodynamics, Cambridge Univ. Press, London, 1985.
- [6]
- C. Truesdell and W. Noll, The non-linear field theories of mechanics, second edition, Springer-Verlag, New York, 1992. MR 2056350 (2005a:74002)
Review Information:
Reviewer:
Brian Straughan
Journal:
Bull. Amer. Math. Soc.
32 (1995), 112-114
DOI:
https://doi.org/10.1090/S0273-0979-1995-00548-3