The influence of elasticity on analysis: The classic heritage
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- by C. Truesdell PDF
- Bull. Amer. Math. Soc. 9 (1983), 293-310
References
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A.-J.-C.-Barré de St. Venant, Historique abrégé des recherches sur la résistance et sur l’élasticité des corps solides, pp. xc-cccxj of C.-L.-M.-H. Navier, Resumé des Leçons...sur l’Application de la Mécanique..., Paris, Dunod, 1864.
I. Todhunder, A history of the theory of elasticity... (edited and completed by K. Pearson), Cambridge Univ. Press, Vol. 1, 1886, Vol. 2, 1893. Both of these histories are far from complete. For details of §§1-4:
- C. Truesdell, The rational mechanics of flexible or elastic bodies, 1638–1788, Leonhardi Euleri Opera Omnia (Series Secunda, Opera Mechanica et Astronomica), Vol. XI, sectio secunda, Orell Füssli, Zürich, 1960. Auctoritate et impensis Societatis Scientiarum Naturalium Helveticae. MR 0131341, DOI 10.1007/978-3-0348-5015-5 C. Truesdell, Sophie Germain, Arch. Hist. Exact Sci. (in preparation).
- 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 J. L. Ericksen, Appendix [to the preceding], Tensor fields, op.cit., pp. 794-858. C. Truesdell and W. Noll, The nonlinear field theories of mechanics, op.cit., Vol. III/3, 1965.
- C. Truesdell, Essays in the history of mechanics, Springer-Verlag New York, Inc., New York, 1968. MR 0242616, DOI 10.1007/978-3-642-86647-0 M. E. Gurtin, The linear theory of elasticity, Encyclopedia of Physics (C. Truesdell, ed.), Vol. VIa/2, Springer-Verlag, Berlin, 1972, pp. 1-295. J. E. Marsden and T. J. R. Hughes, Mathematical foundations of elasticity, Prentice-Hall, Englewood Cliffs, N.J., 1983.
- C. C. Wang and C. Truesdell, Introduction to rational elasticity, Monographs and Textbooks on Mechanics of Solids and Fluids, Mechanics of Continua, Noordhoff International Publishing, Leyden, 1973. MR 0468442
- C. Truesdell and R. G. Muncaster, Fundamentals of Maxwell’s kinetic theory of a simple monatomic gas, Pure and Applied Mathematics, vol. 83, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1980. Treated as a branch of rational mechanics. MR 554086, DOI 10.1016/S0079-8169(08)62254-0 R. G. Muncaster, Invariant manifolds in mechanics: The general construction of coarse theories from fine theories, Arch. Rational Mech. Anal. (to appear).
Additional Information
- Journal: Bull. Amer. Math. Soc. 9 (1983), 293-310
- MSC (1980): Primary 73-02; Secondary 15-02, 53-02, 33-02, 33A25, 49-02
- DOI: https://doi.org/10.1090/S0273-0979-1983-15187-X
- MathSciNet review: 714991