Mathematical Modeling of Shock-Wave Processes in Condensed Matter

From Statistical Thermodynamics to Control Theory

von Tatiana Aleksandrovna Khantuleva

336 Seiten, Hardcover

Kurzbeschreibung des Verlags

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.

• Reihe: Shock Wave and High Pressure Phenomena
• Themen: Mathematik und Naturwissenschaften Physik Statistische Physik
• ISBN: 9789811924033
• Sprache: Englisch
• Erscheinungsdatum: 19.07.2022
• Größe: 23.5 x 15.5 cm
• Verlag: Springer Singapore