Determination of the Power Constants of the Acoustic Emission Signals in the Equations of the Model of the Complex Structure Motion of a Continuous Medium

Authors V.V. Marasanov , A.A. Sharko

Kherson National Technical University, Berislav highway, 24, 73008 Kherson, Ukraine

Issue Volume 10, Year 2018, Number 1
Dates Received 12 October 2017, revised manuscript received 30 October 2017, published online 24 February 2018
Citation V.V. Marasanov, A.A. Sharko, J. Nano- Electron. Phys. 10 № 1, 01019 (2018)
DOI 10.21272/jnep.10(1).01019
PACS Number(s) 43.40.Le, 46.70. – p, 06.60.Ei
Keywords Acoustic emission, Power constants, Complex structure.

A model of the force field for the initiation of changes in the structure of materials initiating the emergence of precursors of acoustic emission (AE) signals, taking into account the internal motion of the structural components of the medium, is proposed. On the assumption of the homogeneity of the system, equations of small longitudinal oscillations are obtained. Based on the consideration of the mirror symmetry of the components of the force constant matrix, the angular dependence of the displacement of the AE source is proved. In the parameters of the matrix of force constants, the translational and rotational invariance of the transformations in the elastic energy and the equations of motion is established, which, in addition to the proportion of proportions, establishes the type of consistency of the individual parts of the system. On the basis of a computational experiment of X-ray diffraction data and a loading diagram for explosive tests, the force constants of the structural components of the medium were calculated. It is shown that in the dynamics of occurrence of the AE signal, the calculation of the inertia of rotation leads to the appearance in the kinetic energy of the square of the velocity gradient. In this case, the forces of interaction between atoms cease to be central. In addition to the longitudinal component, they also have a transverse component, which causes the formation of longitudinal and shear waves.

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