LEADER 00000nam a2200493 i 4500 
001    978-981-19-2404-0 
003    DE-He213 
005    20220718043802.0 
006    m     o  d         
007    cr nn 008maaau 
008    220718s2022    si      s         0 eng d 
020    9789811924040|q(electronic bk.) 
020    9789811924033|q(paper) 
024 7  10.1007/978-981-19-2404-0|2doi 
040    GP|cGP|erda 
041 0  eng 
050  4 QC173.454|b.K43 2022 
082 04 530.41|223 
100 1  Khantuleva, T. A.,|eauthor 
245 10 Mathematical modeling of shock-wave processes in condensed
       matter :|bfrom statistical thermodynamics to control 
       theory /|cby Tatiana Aleksandrovna Khantuleva 
264  1 Singapore :|bSpringer Nature Singapore :|bImprint: 
300    1 online resource (xv, 336 pages) :|billustrations, 
       digital ;|c24 cm 
336    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
338    online resource|bcr|2rdacarrier 
347    text file|bPDF|2rda 
490 1  Shock wave and high pressure phenomena,|x2197-9537 
505 0  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 
520    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 
650  0 Condensed matter|xMathematical models 
650  0 Shock waves|xMathematical models 
650 14 Statistical Physics 
650 24 Classical and Continuum Physics 
650 24 Condensed Matter 
650 24 Solid Mechanics 
710 2  SpringerLink (Online service) 
773 0  |tSpringer Nature eBook 
830  0 Shock wave and high pressure phenomena 
856 40 |uhttps://doi.org/10.1007/978-981-19-2404-0