Mathematical Modeling of Shock-Wave Processes in Condensed Matter
From Statistical Thermodynamics to Control Theory
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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.
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.
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
Autor*in
Tatiana Aleksandrovna Khantuleva
Themen in »Mathematical Modeling of Shock-Wave Processes in Condensed Matter«
Shock-Induced Processes in Solids Mathematical Modeling Non-equilibrium Thermodynamics Control Theory in Adaptive Systems High-Rate Processes Non-local and Memory Effects Internal Structure Evolution Self-Organization Waveform Evolution Speed-Gradient Principle Elastic-Plastic Transition Entropy Generation