Literature Cited
A. N. Guz', F. G. Makhort, and O. I. Gushcha, Introduction to Acoustoelasticity [in Russian], Naukova Dumka, Kiev (1977).
A. E. Eremeev, “Apparatus for determining elasticity constants of materials by a static method,” Izmer. Tekh., No. 8, 8–11 (1965).
A. I. Lur'e, Elasticity Theory [in Russian], Nauka, Moscow (1970).
H. J. McSkimin, “Ultrasonic methods for measuring the mechanical properties of liquids and solids,” in: Physical Acoustics: Principles and Methods, W. P. Mason (ed.), Vol. 1, Part A, Academic Press (1964).
G. N. Savin and Yu. P. Koifman, “General nonlinear theory of elasticity: review,” Prikl. Mekh.,6, No. 12, 3–26 (1970).
S. S. Sekoyan, “Calculation of third-order elasticity constants based on results of ultrasonic measurements,” Akust. Zh.,16, No. 3, 453–457 (1970).
S. S. Sekoyan, “Questions of the method and accuracy of measurement of the third-order elastic modulus of solids,” Author's Abstract, Candidate of Technical Sciences, Moscow (1972).
S. S. Sekoyan, “Differential method of measuring the velocity of elastic waves propagating in a sample along its axis under extension,” in: High-Pressure Research, Tr. VNIIFiz.-Tekh. i Radiotekh. Izmerenii, No. 5(35) (1971), pp. 200–210.
E. K. Subbotina and S. S. Sekoyan, “Investigation of the elastic properties of spring alloys by acoustic methods,” in: Steels and Alloys in Instrument-Manufacture and Precision Machinery: Materials of a Seminar [in Russian], Mosk. Dom. Nauch.-Tekhn. Propagandy (1975), pp. 60–66.
H. J. McSkimin, “Varrations of the ultrasonic pulse-superposition method for increasing the sensitivity of delay-time measurements,” J. Acoust. Soc. Amer.,37, No. 5, 864–871 (1965).
M. Reiner, “Elasticity beyond elastic limit,” Am. J. Math.,70, No. 2, 433–445 (1948).
R. T. Smith, “Stress-induced anisotropy in solids; the acoustoelastic effect,” Ultrasonics, No. 1, 135–147 (1963).
R. N. Thurston and K. Brygger, “Third-order elastic constants and the velocity of small amplitude elastic waves in homogeneously stressed media,” Phys. Rev.,133, No. 6A, A1604-A1610 (1964).
Tatsuo Tokuoka, “Nonlinear acoustoelasticity of isotropic elastic materials,” J. Acoust. Soc. Amer.,65, No. 5, 1134–1139 (1979).
C. Trusdell, “General and exact theory of waves in finite elastic strain,” Arch. Ration. Mech. Anal.,8, No. 4, 263–296 (1961).
Additional information
All-Union Scientific-Research Institute of Physicotechnical and Radio Engineering Measurements, Kryukova, Moscow Region. Translated from Prikladnaya Mekhanika, Vol. 20, No. 2, pp. 80–85, February, 1984.
Rights and permissions
About this article
Cite this article
Subbotina, E.K., Sekoyan, S.S. Trusdell hyperelasticity criterion and characteristics of acoustoelasticity of certain structural materials. Soviet Applied Mechanics 20, 177–181 (1984). https://doi.org/10.1007/BF00883946
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00883946