Determination of third-order elastic moduli via parameters of bulk strain solitons


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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.

Sobre autores

F. Garbuzov

Ioffe Physical Technical Institute; Peter the Great St. Petersburg Polytechnic University

Email: samsonov@math.ioffe.ru
Rússia, St. Petersburg, 194021; St. Petersburg, 195251

A. Samsonov

Ioffe Physical Technical Institute

Autor responsável pela correspondência
Email: samsonov@math.ioffe.ru
Rússia, St. Petersburg, 194021

A. Semenov

Ioffe Physical Technical Institute; Peter the Great St. Petersburg Polytechnic University

Email: samsonov@math.ioffe.ru
Rússia, St. Petersburg, 194021; St. Petersburg, 195251

A. Shvartz

Ioffe Physical Technical Institute

Email: samsonov@math.ioffe.ru
Rússia, St. Petersburg, 194021

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