×

zbMATH — the first resource for mathematics

Finite amplitude waves in a homogeneous isotropic elastic solid. (English) Zbl 0404.73023

MSC:
74J99 Waves in solid mechanics
35L70 Second-order nonlinear hyperbolic equations
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Berry, Handbuch der Physik, VI 1958 pp 1–
[2] Leçons sur la propagation des ondes et les équations de l’hydrodynamique (reprinted by Chelsea Publ. Co., 1949), Chap. VI.
[3] and , Large Elastic Deformations, 2nd ed., Clarendon Press, 1970.
[4] and , Theoretical Elasticity, Clarendon Press, 1954.
[5] John, Comm. Pure Appl. Math. 19 pp 309– (1966)
[6] Lax, Amer. Math. Monthly 79 pp 227– (1972)
[7] John, Comm. Pure Appl. Math. 27 pp 377– (1974)
[8] Carroll, Acta Mech. 3 pp 167– (1967)
[9] John, Comm. Pure Appl. Math. 29 pp 649– (1976)
[10] Hill, J. Math. and Phys. of Solids 5 pp 229– (1957)
[11] On the complementary energy theorem in non-linear elasticity theory, in Trends in Applications of Pure Mathematics to Mechanics, ed. by Pitman Publishing, 1976, pp. 207–232.
[12] Friedrichs, Comm. Pure Appl. Math. 7 pp 345– (1954)
[13] and , Methods of Mathematical Physics, Vol. II, Interscience Publishers, 1962.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.