Non-local theory of high-rate processes in structured media

Khantouleva, Tatyana A.
April 2000
AIP Conference Proceedings;2000, Vol. 505 Issue 1, p371
Academic Journal
A new hydrodynamic approach based on non-equilibrium statistical mechanics is developed to describe the structure formation in dynamically deformed materials. Self-consistent non-local formulation of the boundary-value problem for a high-strain-rate process is reduced to a nonlinear operator set similar to some resonance problems. The branching of solutions to the problem determines both scales and types of the formed internal structure. The theory is applied to the shock wave propagation in solids. The experimentally observable velocity decay proves to be closely connected with such kinetic characteristics as velocity dispersion and dissipative structure formation.


Related Articles

  • Recompression of PMMA following shock induced tension. Bartkowski, Peter T.; Dandekar, Dattatraya P. // AIP Conference Proceedings;2000, Vol. 505 Issue 1, p539 

    PMMA is inferred to deform like an elastic-plastic material under shock wave compression and release. This article presents evidence of an unusual recompression response of PMMA following its spallation under shock induced tension. The final recompressed state is attained through multiple wave...

  • Peculiarities of metal balls deformation by quasi-spherical shock waves. Glushak, B. L.; Novikov, S. A.; Sinitsyna, L. M.; Yukina, N. A. // AIP Conference Proceedings;2000, Vol. 505 Issue 1, p513 

    The paper presents results of experimental studies of metal balls deformation by quasi-spherical shock waves. With use of sequential increase of explosive layer thickness characterizing level of shock wave loading for ball surface, we recorded various extents of ball from saving of material...

  • Calculated-experimental investigation of the Armco iron deformation in shock wave. Koritskaya, S. V.; Trunin, I. R.; Arnold, W. // AIP Conference Proceedings;2000, Vol. 505 Issue 1, p475 

    Numerical simulation results of the elastic precursor relaxation and evolution of wave fronts are presented in consideration of relaxation processes in Armco iron. The dislocation dynamics of Gilman is applied to problem of elasto-plastic flow. Numerical calculation was carried out for case of...

  • Effect of Transitional Nonequilibrium on the Molecular–Dissociation Rate in a Hypersonic Shock Wave. Gorelov, V. A.; Komarov, V. N.; Kuznetsov, M. M.; Yumashev, V. L. // Journal of Applied Mechanics & Technical Physics;Mar/Apr2001, Vol. 42 Issue 2, p219 

    The problem of the influence of a nonequilibrium (non–Maxwellian( distribution of translational energy over the degrees of freedom of molecules on the rate of their dissociation in a hypersonic shock wave is considered. An approximate “beam”—continuous medium model,...

  • Nonequilibrium radiation of the shock wave in air in the vacuum ultraviolet region. Gorelov, V.; Kireev, A. // Technical Physics Letters;Jan2013, Vol. 39 Issue 1, p33 

    A numerical model of generation of the nonequilibrium molecular radiation in a vacuum ultraviolet spectral region (VUV radiation with a wavelength shorter than 200 nm) behind a shock wave in air in a range of varying its velocity of 4.5-9.5 km/s is developed. This numerical model is verified...

  • Necessary and Sufficient Condition for Stability of Generalized Expectation Value. El Kaabouchi, Aziz; Abe, Sumiyoshi // Journal of Applied Mathematics;2011, Special section p1 

    A class of generalized definitions of expectation value is often employed in nonequilibrium statistical mechanics for complex systems. Here, the necessary and sufficient condition is presented for such a class to be stable under small deformations of a given arbitrary probability distribution.

  • Plastic deformation in shock waves via molecular-dynamics simulations. Germann, Timothy C.; Holian, Brad Lee; Lomdahl, Peter S. // AIP Conference Proceedings;2000, Vol. 505 Issue 1, p297 

    Using large-scale molecular-dynamics simulations, we have studied the propagation of elastic and plastic waves in three-dimensional crystals oriented along low-index directions. We have observed elastic precursors, followed by steady plastic waves (depending on propagation direction), which are...

  • Dynamic fracture kinetics, influence of temperature and microstructure in the atomistic model of aluminum. Kuksin, Alexey; Norman, Genri; Stegailov, Vladimir; Yanilkin, Alexey; Zhilyaev, Petr // International Journal of Fracture;Mar2010, Vol. 162 Issue 1/2, p127 

    Microscopic mechanisms and kinetics of dynamic fracture of crystalline materials are analyzed. The work is based on the molecular dynamics modeling and simulation within the embedded atom method model for interatomic interactions in metals. An attempt is made to present the results of molecular...

  • Nonstationary deformation of an elastic plate with a notch under the action of a shock wave. Anik�ev, I.; Mikhailova, M.; Sushchenko, E. // International Applied Mechanics;Nov2007, Vol. 43 Issue 11, p1264 

    The behavior of a thin elastic plate with a rectilinear notch under the action a weak shock wave in air is studied experimentally. A technique is developed for this purpose. The effect of the notch on the strain state of the plate is analyzed


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics