Author Khantuleva, T. A., author
Title Mathematical modeling of shock-wave processes in condensed matter : from statistical thermodynamics to control theory / by Tatiana Aleksandrovna Khantuleva
Imprint Singapore : Springer Nature Singapore : Imprint: Springer, 2022
book jacket
Descript 1 online resource (xv, 336 pages) : illustrations, digital ; 24 cm
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Series Shock wave and high pressure phenomena, 2197-9537
Shock wave and high pressure phenomena
Note 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
Host Item Springer Nature eBook
Subject Condensed matter -- Mathematical models
Shock waves -- Mathematical models
Statistical Physics
Classical and Continuum Physics
Condensed Matter
Solid Mechanics
Alt Author SpringerLink (Online service)