References
1901 Hadamard, J.: Sur la propagation des ondes. Bull. Soc. Math. France 29, 50–60.
1903 1. Hadamard, J.: Leçons sur la Propagation des Ondes et les Equations de l'Hydrodynamique (Lectures of 1898–1900). Paris: Hermann.
1903 2. Duhem, P.: Sur la propagation des ondes dans un milieu parfaitement élastique affecté de déformations finies. C. R. Acad. Sci. Paris 136, 1379–1381.
1905 Duhem, P.: Recherches sur l'élasticité. Troisième Partie. La stabilité des milieux élastiques. Ann. Ecole Norm. (3) 22, 143–217.
1906 Duhem, P.: Recherches sur l'élasticité. Quatrième Partie. Propriétés générales des ondes dans les milieux visqueux et non visqueux. Ann. Ecole Normale (3) 23, 169–223.
1920 1. Jouguet, E.: Sur les ondes de choc dans les corps solides. C. R. Acad. Sci. Paris 171, 461–464.
1920 2. Jouguet, E.: Sur la celerité des ondes dans les corps solides. C. R. Acad. Sci. Paris 171, 512–515.
1920 3. Jouguet, E.: Sur la variation d'entropie dans les ondes de choc des solides élastiques. C. R. Acad. Sci. Paris 171, 789–791.
1920 4. Jouguet, E.: Application du principe de Carnot-Clausius aux ondes de choc des solides élastiques. C. R. Acad. Sci. Paris 171, 904–907.
1921 Jouguet, E.: Notes sur la théorie de l'élasticité. Ann. Toulouse (3) 12 (1920), 47–92.
1925 Brillouin, L.: Sur les tensions de radiation. Annales de Physique (10) 4, 528–586.
1938 Brillouin, L.: Les Tenseurs en Mécanique et en Elasticité. Paris: Masson.
1942 Finzi, B.: Propagazione ondosa nei continui anisotropi. Rend. Ist. Lombardo Cl. Sci. Mat. Nat. 75 = (3) 6 (1941–1942), 630–640.
1943 Tolotti, C.: Deformazioni elastiche finite: onde ordinarie di discontinuità e caso tipico di solidi elastici isotropi. Rend. di Mat. e delle Applic. (5) 4, 34–59.
1949 Pastori, M.: Propagazione ondosa nei continui anisotropi e corrispondenti direzioni principali. Il Nuovo Cimento (9) 6, 187–193.
1952 Truesdell, C.: The mechanical foundations of elasticity and fluid dynamics. J. Rational Mech. Anal. 1, 125–300. Corrections and additions, ibid. 2, 595–616 (1953).
1953 1. Ericksen, J. L.: On the propagation of waves in isotropic incompressible perfectly elastic materials. J. Rational Mech. Anal. 2, 329–337.
1953 2. Hughes, D. S., & J. L. Kelly: Second-order elastic deformation of solids. Phys. Rev. (2) 92, 1145–1149.
1954 Baker, M., & J. L. Ericksen: Inequalities restricting the form of the stress-deformation relations for isotropic solids and Reiner-Rivlin fluids. J. Washington Acad. Sci. 44, 33–35.
1956 Truesdell, C.: Das ungelöste Hauptproblem der endlichen Elastizitätstheorie. Z. angew. Math. Mech. 36, 97–103.
1958 Noll, W.: A mathematical theory of the mechanical behavior of continuous media. Arch. Rational Mech. Anal. 2 (1958/59), 197–226.
1959 1. Coleman, B. D., & W. Noll: On the thermostatics of continuous media. Arch. Rational Mech. Anal. 4 (1959/60), 97–128.
1959 2. Rivlin, R. S.: The constitutive equations for certain classes of deformations. Arch. Rational Mech. Anal. 3, 304–311.
1960 Rivlin, R. S.: Constitutive equations for classes of deformations. Viscoelasticity: Phenomenological Aspects. New York: Academic Press 93–108.
1961 1. Toupin, R. A., & B. Bernstein: Sound waves in deformed perfectly elastic materials; the acoustoelastic effect. J. Acoust. Soc. Amer. 33, 216–225.
1961 2. Hayes, M., & R. S. Rivlin: Propagation of a plane wave in an isotropic elastic material subject to pure homogeneous deformation. Arch. Rational Mech. Anal. 8, 15–22.
1961 3. Toupin, R. A.: Some relations between waves, stability, uniqueness criteria, and restrictions on the form of the energy function in elasticity theory. Lecture delivered at a meeting in Newcastle-upon-Tyne.
Author information
Authors and Affiliations
Additional information
Dedicated to Hadamard in admiration and affection on the sixtieth anniversary of his great treatise, Leçons sur la Propagation des Ondes
Rights and permissions
About this article
Cite this article
Truesdell, C. General and exact theory of waves in finite elastic strain. Arch. Rational Mech. Anal. 8, 263–296 (1961). https://doi.org/10.1007/BF00277444
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00277444