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Mathematical modeling of shock-wave processes in condensed matterfrom statistical thermodynamics to control theory /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical modeling of shock-wave processes in condensed matterby Tatiana Aleksandrovna Khantuleva.
Reminder of title:	from statistical thermodynamics to control theory /
Author:	Khantuleva, T. A.
Published:	Singapore :Springer Nature Singapore :2022.
Description:	xv, 336 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Condensed matterMathematical models.
Online resource:	https://doi.org/10.1007/978-981-19-2404-0
ISBN:	9789811924040$q(electronic bk.)

Mathematical modeling of shock-wave processes in condensed matterfrom statistical thermodynamics to control theory /
Khantuleva, T. A.

Mathematical modeling of shock-wave processes in condensed matterfrom statistical thermodynamics to control theory /[electronic resource] :by Tatiana Aleksandrovna Khantuleva. - Singapore :Springer Nature Singapore :2022. - xv, 336 p. :ill., digital ;24 cm. - Shock wave and high pressure phenomena,2197-9537. - Shock wave and high pressure phenomena..

Models of continuum mechanics and their deficiencies -- Specific Features of Processes Far from Equilibrium -- Macroscopic Description in Terms of Non-equilibrium Statistical Mechanics -- Thermodynamic Concepts Out of Equilibrium -- New Approach to Modeling Non-equilibrium Processes -- Description of the Structure Evolution Using Methods of Control Theory of Adaptive Systems -- The Shock-Induced Planar Wave Propagation in Condensed Matter -- Evolution of Waveforms during Propagation in Solids -- Abnormal Loss or Growth of the Wave Amplitude -- The Stress-Strain Relationships for the Continuous Stationary Loading.

This book offers an interdisciplinary theoretical approach based on non-equilibrium statistical thermodynamics and control theory for mathematically modeling shock-induced out-of-equilibrium processes in condensed matter. The book comprises two parts. The first half of the book establishes the theoretical approach, reviewing fundamentals of non-equilibrium statistical thermodynamics and control theory of adaptive systems. The latter half applies the presented approach to a problem on shock-induced plane wave propagation in condensed matter. The result successfully reproduces the observed feature of waveform propagation in experiments, which conventional continuous mechanics cannot access. Further, the consequent stress-strain relationships derived with relaxation and inertia effect in elastic-plastic transition determines material properties in transient regimes.

ISBN: 9789811924040$q(electronic bk.)

Standard No.: 10.1007/978-981-19-2404-0doiSubjects--Topical Terms:

275942
Condensed matter
--Mathematical models.

LC Class. No.: QC173.454 / .K43 2022

Dewey Class. No.: 530.41

Mathematical modeling of shock-wave processes in condensed matterfrom statistical thermodynamics to control theory /
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520 $a This book offers an interdisciplinary theoretical approach based on non-equilibrium statistical thermodynamics and control theory for mathematically modeling shock-induced out-of-equilibrium processes in condensed matter. The book comprises two parts. The first half of the book establishes the theoretical approach, reviewing fundamentals of non-equilibrium statistical thermodynamics and control theory of adaptive systems. The latter half applies the presented approach to a problem on shock-induced plane wave propagation in condensed matter. The result successfully reproduces the observed feature of waveform propagation in experiments, which conventional continuous mechanics cannot access. Further, the consequent stress-strain relationships derived with relaxation and inertia effect in elastic-plastic transition determines material properties in transient regimes.
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