TY - CHAP

T1 - Abnormal Loss or Growth of the Wave Amplitude

AU - Khantuleva, Tatiana Aleksandrovna

N1 - Bibliographic Information • Book Title Mathematical Modeling of Shock-Wave Processes in Condensed Matter • Book Subtitle From Statistical Thermodynamics to Control Theory • Authors Tatiana Aleksandrovna Khantuleva • Series Title Shock Wave and High Pressure Phenomena • DOI https://doi.org/10.1007/978-981-19-2404-0 • Publisher Springer Singapore • eBook Packages Physics and Astronomy, Physics and Astronomy (R0) • Copyright Information The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2022 • Hardcover ISBN 978-981-19-2403-3 • eBook ISBN 978-981-19-2404-0 • Series ISSN 2197-9529 • Series E-ISSN 2197-9537 • Edition Number1 • Number of Pages XV, 336 • Number of Illustrations 19 b/w illustrations, 58 illustrations in colour • Topics Statistical Physics, Classical and Continuum Physics, Condensed Matter, Solid Mechanics

PY - 2022/7/19

Y1 - 2022/7/19

N2 - In Chapter 8 we considered the shock-induced waveforms which shape is determined by the integral model constructed in Chapter 7. The model parameters are related to the spatiotemporal correlations dynamics inside the waveform. Within the proposed in Chapter 5 approach to describe processes far from local equilibrium, the correlation scales can be considered the dynamic structure sizes. The elements of this dynamic structure are carriers of mass, momentum and energy in the wave transport mechanism as particles but what they are was not clear. To model the dynamics of the spatiotemporal correlations in shock-induced waveforms, it is necessary to reveal the physical nature of the shock-induced structure on the mesoscale. In the chapter we will show that the experimentally recorded waveform is the result of superposition of the moving wave packets that, in turn, can be considered the mesoparticles (sections 9.1-9.2). The wave packets originated by the shock-induced wave in the medium with dispersion are moving at different velocities. Their interaction can considerably enhance the velocity inhomogeneity and induce strong shears leading to the rotational modes occurrence. The formed turbulent structures partially remain frozen into material after the unloading front passing. On the basis of the integral model of the waveform in section 9.3, we were able to explain from the standpoint of the dynamics of correlations how the behavior of experimentally measurable quantities such as the dispersion of the mass velocity and the velocity defect on the plateau of the compression pulse is associated with the processes of structure formation. In section 9.7, we show that the self-organization of turbulent structures is an example of the process that is accompanied by the negative integral entropy production that was predicted in non-equilibrium statistical mechanics (see Chapter 4). Unlike turbulence in liquids where dissipation gives the greatest contribution to the entropy production, the inertial properties of the solid material play a critical role in the transition to turbulence during high-rate deformation of the solid material. In section 9.8, we show that the effects arising at the mesoscale under shock loading of solid materials have many similarities with quantum effects.

AB - In Chapter 8 we considered the shock-induced waveforms which shape is determined by the integral model constructed in Chapter 7. The model parameters are related to the spatiotemporal correlations dynamics inside the waveform. Within the proposed in Chapter 5 approach to describe processes far from local equilibrium, the correlation scales can be considered the dynamic structure sizes. The elements of this dynamic structure are carriers of mass, momentum and energy in the wave transport mechanism as particles but what they are was not clear. To model the dynamics of the spatiotemporal correlations in shock-induced waveforms, it is necessary to reveal the physical nature of the shock-induced structure on the mesoscale. In the chapter we will show that the experimentally recorded waveform is the result of superposition of the moving wave packets that, in turn, can be considered the mesoparticles (sections 9.1-9.2). The wave packets originated by the shock-induced wave in the medium with dispersion are moving at different velocities. Their interaction can considerably enhance the velocity inhomogeneity and induce strong shears leading to the rotational modes occurrence. The formed turbulent structures partially remain frozen into material after the unloading front passing. On the basis of the integral model of the waveform in section 9.3, we were able to explain from the standpoint of the dynamics of correlations how the behavior of experimentally measurable quantities such as the dispersion of the mass velocity and the velocity defect on the plateau of the compression pulse is associated with the processes of structure formation. In section 9.7, we show that the self-organization of turbulent structures is an example of the process that is accompanied by the negative integral entropy production that was predicted in non-equilibrium statistical mechanics (see Chapter 4). Unlike turbulence in liquids where dissipation gives the greatest contribution to the entropy production, the inertial properties of the solid material play a critical role in the transition to turbulence during high-rate deformation of the solid material. In section 9.8, we show that the effects arising at the mesoscale under shock loading of solid materials have many similarities with quantum effects.

KW - wave packet, dispersion, interference, self-organization, mesoparticle, turbulence, quantum effects

UR - https://www.mendeley.com/catalogue/7f1c8fa6-067e-3f6f-9161-cf2332356cc3/

U2 - 10.1007/978-981-19-2404-0_9

DO - 10.1007/978-981-19-2404-0_9

M3 - Chapter

SN - 978-981-19-2403-3

T3 - Shock Wave and High Pressure Phenomena

SP - 283

EP - 309

BT - Mathematical Modeling of Shock-Wave Processes in Condensed Matter

PB - Springer Nature

CY - Singapore

ER -