PSI - Issue 2_A

A.L. Fradkov et al. / Procedia Structural Integrity 2 (2016) 994–1001 Author name / Structural Integrity Procedia 00 (2016) 000–000

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Conclusions The proposed approach to modeling of high-strain-rate processes based on the nonlocal theory of nonequilibrium transport and cybernetic physics allows an adequate description in a wide range of the loading conditions including transitions between different regimes of deformation. Unlike conventional models within continuous mechanics the integral model relationships between stress, strain and strain-rate depend on the loading conditions and take into account aftereffects arising due to inertial effects of condensed matter. In particular, the dependence of the yield limit on the strain-rate is obtained. The integral models do not require separation of stress and strain components into elastic and plastic parts a priori. Methods of cybernetic physics describe the time evolution of nonequilibrium systems under imposed conditions. The evolution trajectories allow a prediction of macroscopic properties of the system after the loading in the future. Acknowledgements This work was performed in IPME RAS and supported by RSF (grant 14-29-00142). References Meshcheryakov Yu.I., Divakov A.K., 1994. Multiscale Kinetics and Strain-Rate Dependence of Materials. International journal on the dynamic deformation of materials and applications. 1, 1, 271-287. Furnish, M.D.,Trott, W.M., Mason, J., Podsednik, J., Reinhart, W.D., and Hall, C., 2003. Assessing Mesoscale Material Response via High Resolution Line-Imaging VISAR. Shock Compression of Condensed Matter-2003: AIP Conference Proceedings, 706, 1159-1163. Meshcheryakov Yu.I., Divakov A.K., Zhigacheva N.I., Makarevich I.P., Barakhtin B.K. 2008. Dynamic Structures in Shock-Loaded Copper. Physical Review B 78, 64301- 64316. Richardson J.M. 1960. The hydrodynamic equations of a one-component system derived from nonequilibrium statistical mechanics. Journal of Mathematical Analysis and Applications 1, 12-60. Piccirelli R. 1968. Theory of the dynamics of simple fluid for large spatial gradients and long memory. Physical Review A, V. 175, N 1, p. 77-98. Zubarev D.N. and Tishchenko S.V., 1972. Nonlocal hydrodynamics with memory. Fizika 59(2), 285-304. Khantuleva, T.A. 2003. The shock wave as a nonequilibrium transport process, in monograph “High-pressure compression of solids VI: old paradigms and new challenges”(Y.Horie, L.Daison, N.N.Thadhani, Eds.), Springer, 215-254. Khantuleva, T.A., 2013. Nonlocal Theory of Nonequilibrium Transport Processes. St. Petersburg: St. Petersburg State University Publ. Meshcheryakov, Yu.I., Khantuleva, T.A., 2015. Nonequilibrium Processes in Condensed Media. Part 1. Experimental Studies in Light of Nonlocal Transport Theory. Physical Mesomechanics 18(3), 228-243. Gilman, J.J., 2002. Response of Condensed Matter to Impact. In: “High Pressure Shock Compression of Solids. VI. Old Paradigms and New Challenges”. Editors: Y-Y. Horie, L. Davison, N.N. Thadhani. Springer. 279-296. Wood, D.S., 1952. On Longitudinal Plane Waves of Elastic-Plastic Strain in Solids. Journal of Applied Mechanics 521-525. Fradkov A.L., 2007.Cybernetical physics: from control of chaos to quantum control. Springer-Verlag. Fradkov A.L., Miroshnik I.V., Nikiforov V.O., 1999. Nonlinear and Adaptive Control of Complex Systems. Dordrecht: Kluwer Academic Publ.. Lucia, U., 2913. Entropy generation: From outside to inside! Chemical physics Letters. 583, 209-212. Ravichandran G., Rosakis A.J., Hodovany J., Rosakis P., 2002. On the Conversion of Plastic Work into Heat during High-Strain-Rate Deformation.. Proceedings CP620, International Conference “Shock Compression of Condensed Matter”. Atlanta, USA, 2001, (ed. by M.D. Furnish, N.N. Thadhani, Y. Horie, American Institute of Physics 0-7354-0068-7/02), 557–562. Bever, M.B., Holt. D.L., Tichener, A.L., 1973. The Storied Energy of Cold Work. Progress in Materials Science 17, 1.