Mathematical Modeling of Shock-Wave Processes in Condensed Matter

Download or read book Mathematical Modeling of Shock-Wave Processes in Condensed Matter written by Tatiana Aleksandrovna Khantuleva and published by Springer Nature. This book was released on 2022-07-18 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.