Mathematical Modeling of Shock-Wave Proces...

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Beschreibung

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.

Über den Autor

Tatiana Aleksandrovna Khantuleva is a professor at Saint Petersburg State University. Her research is primarily concerned with non-equilibrium phenomena and complex systems and their mathematical modeling. She received her Ph.D. degree in fluid and plasma mechanics from the State Institute of Mathematics and Mechanics, Saint Petersburg, Russia, in 1977. She joined Saint Petersburg State University as an associate professor in 1999 and was promoted to her current position in 2007. She received certificates of honor from Saint Petersburg State University and the Russian Academy of Science in 2007, 2010, and 2017.

She currently focuses on the problems related to modeling transient and shock-induced processes, out-of-equilibrium thermodynamic evolution, and synergetic effects at a mesoscopic scale and on developing several new original special courses of lectures for graduate students.

Zusammenfassung

Offers a mathematical modeling for non-equilibrium processes in condensed matter mechanics

Describes transient processes beyond the capability of continuum mechanics

Opens pathways to technologies that provide materials with desired structure

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2023
Fachbereich:	Theoretische Physik
Genre:	Importe , Physik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xv 336 S. 19 s/w Illustr. 58 farbige Illustr. 336 p. 77 illus. 58 illus. in color.
ISBN-13:	9789811924064
ISBN-10:	9811924066
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Khantuleva, Tatiana Aleksandrovna
Auflage:	1st edition 2022
Hersteller:	Springer Singapore Springer Nature Singapore
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 20 mm
Von/Mit:	Tatiana Aleksandrovna Khantuleva
Erscheinungsdatum:	20.07.2023
Gewicht:	0,534 kg