Shock Wave and High Pressure Phenomena: From Statistical Thermodynamics to Control Theory

Khantuleva, Tatiana Aleksandrovna

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.

Details

Published by: Springer

Publication Date: 2023-07-20

Format: Paperback

ISBN-13: 9789811924064

DOI: 10.1007/978-981-19-2404-0

Dimensions: 235cm x155cm

Pages: 336