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Book Information

Author(s): Stuart S. Antman
Title: Nonlinear problems of elasticity
Additional book information: Appl. Math. Sci., vol. 107, Springer-Verlag, Berlin and New York, 1995, xviii + 750, $59.95, 0-377-94199-1

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8.: L Euler. Additamentum I de curvis elasticis, methodus inveniendi lineas curvas maximi minimivi proprietate gaudentes. Bousquent, Lausanne, 1744. In Opera Omnia I, Vol. 24, 231-297.
9.: L C Evans. Quasiconvexity and partial regularity in the calculus of variations. Arch. Rat. Mech. Anal., 95:227--268, 1986. MR 88a:49007
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12.: A Mielke. Saint-Venant's problem and semi-inverse solutions in nonlinear elasticity. Arch. Rat. Mech. Anal., 102:205--229, 1988. Corrigendum ibid. 110::351-352, 1990. MR 89h:73016; MR 91f: 73009
13.: C B Morrey. Quasi-convexity and the lower semicontinuity of multiple integrals. Pacific J. Math., 2:25--53, 1952. MR 14:992a
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15.: S Müller, T. Qi, and B S Yan. On a new class of elastic deformations not allowing for cavitation. Ann. Inst. Henri Poincaré,Analyse Nonlinéaire, 11:217--243, 1994. MR 95a:73025
16.: V \v{S}verák. Rank-one convexity does not imply quasiconvexity. Proc. Royal Soc. Edinburgh, 120A:185--189, 1992. MR 93b:49026
17.: T Valent. Boundary Value Problems of Finite Elasticity, volume 31 of Springer Tracts in Natural Philosophy. Springer-Verlag, 1988. MR 89c:73001
18.: L M Zubov and A N Rudev. On the peculiarities of the loss of stability of a non-linear elastic rectangular bar. J. Appl. Maths Mechs, 57:469--485, 1993. (English translation of Prikl. Mat. Mekh., 57:65-83, 1993.). MR 94j:73036

Reviewer(s):
J. M. Ball
Affiliation: Heriot-Watt University
Email: J.M.Ball@ma.hw.ac.uk

Review Information:
Journal: Bull. Amer. Math. Soc. 33 (1996), 269-276.
DOI: 10.1090/S0273-0979-96-00648-9
PII: S 0273-0979(96)00648-9
Copyright of article: Copyright 1996, American Mathematical Society

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ISSN 1088-9485(e) ISSN 0273-0979(p)

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