Mathematical Modeling of Shock-Wave Processes in Condensed Matter

From Statistical Thermodynamics to Control Theory

Tatiana Aleksandrovna Khantuleva (Autor)

Buch | Hardcover

336 Seiten

2022 | 1st ed. 2022
Springer Verlag, Singapore
978-981-19-2403-3 (ISBN)

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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.

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.

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.

Erscheinungsdatum	21.07.2022
Reihe/Serie	Shock Wave and High Pressure Phenomena
Zusatzinfo	58 Illustrations, color; 19 Illustrations, black and white; XV, 336 p. 77 illus., 58 illus. in color.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
	Technik ► Maschinenbau
ISBN-10	981-19-2403-1 / 9811924031
ISBN-13	978-981-19-2403-3 / 9789811924033
Zustand	Neuware