Mathematical Modeling of Shock-Wave Processes in Condensed Matter

Released on by Tatiana Aleksandrovna Khantuleva
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  • Mathematical Modeling of Shock-Wave Processes in Condensed Matter Book Detail

  • Author : Tatiana Aleksandrovna Khantuleva
  • Release Date : 2022-07-18
  • Publisher : Springer Nature
  • Genre : Science
  • Pages : 347
  • ISBN 13 : 981192404X
  • File Size : 50,50 MB
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Mathematical Modeling of Shock-Wave Processes in Condensed Matter by Tatiana Aleksandrovna Khantuleva PDF Summary

Book Description: 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.

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