Abstract
A method is proposed aimed for determination of the third-order elastic moduli (Murnaghan moduli) based on the estimation of measured parameters of bulk strain solitons in the three main waveguide configurations, a rod, a plate, and a shell. Formulas connecting the third-order moduli of the waveguide material and the parameters of a solitary strain wave (amplitude, velocity, full width at half-maximum) are derived. If the soliton parameters measured in three waveguide types manufactured from the same material are available, determination of the third-order elastic moduli is reduced to the solution of a system of three algebraic equations with a nondegenerate matrix.
Similar content being viewed by others
References
L. D. Landau and E. M. Lifshits, Course of Theoretical Physics, Vol. 7: The Theory of Elasticity (Nauka, Moscow, 1965) [in Russian].
A. I. Korobov, V. M. Prokhorov, and D. M. Mekhedov, Fiz. Tverd. Tela 55 (2013).
Q. Zhu, C. Burtin, and C. Binetruy, Polymer Testing 40, 178 (2014).
A. I. Lur’e, The Nonlinear Theory of Elasticity (Nauka, Moscow, 1980) [in Russian].
C. C. Wang, Z. Angew. Math. Mech. 46 (2), 141 (1966).
I. N. Frantsevich, F. F. Voronov, and S. A. Bakuta, Uprogie Postoyannye i Moduli Uprugosti Metallov i Nemetallov (Elastic Constants and Elastic Moduli of Metals and Non-metals) (Nauk. dumka, Kiev, 1983) [in Russian].
A. M. Samsonov, Strain Solitons in Solids and How to Construct Them (Chapman & Hall/CRC, 2001).
G. V. Dreiden, A. M. Samsonov, I. V. Semenova, and A. G. Shvartz, Appl. Phys. Lett. 105, 211906 (2014).
I. V. Semenova, G. V. Dreiden, and A. M. Samsonov, Proc. SPIE 5144, 521 (2003).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © F.E. Garbuzov, A.M. Samsonov, A.A. Semenov, A.G. Shvartz, 2016, published in Pis’ma v Zhurnal Tekhnicheskoi Fiziki, 2016, Vol. 42, No. 3, pp. 16–22.
Rights and permissions
About this article
Cite this article
Garbuzov, F.E., Samsonov, A.M., Semenov, A.A. et al. Determination of third-order elastic moduli via parameters of bulk strain solitons. Tech. Phys. Lett. 42, 121–123 (2016). https://doi.org/10.1134/S1063785016020073
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063785016020073