Universal Features of Dynamic Failure and Turbulence Phenomena Caused by the Critical Behavior of Nonlinear Systems

被引:0
|
作者
Sel'chenkova, N. I. [1 ]
Uchaev, A. Ya. [1 ]
机构
[1] Russian Fed Nucl Ctr, All Russian Res Inst Expt Phys, Sarov 607188, Nizhny Novgorod, Russia
关键词
shock-wave loading; critical phenomena in condensed matters; dynamic metal failure; fully developed turbulence; power-law distributions; METALS;
D O I
10.1134/S1063778824090369
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
Universal features of dynamic failure and turbulence phenomena are considered on the basis of results of research and analyses of published data. The absorbed energy density causing the failure is comparable to the energy parameter of the crystal lattice E, which is fractions of electronvolt per atom in the range of nonequilibrium states t similar to 3 x 10(-6)-10(-10) s. Macrofailure, changing the body connectivity, arises when approaching the critical density of the failure center cascade, i.e., percolation cluster, through the cascade of bifurcations. Fully developed turbulence is a chaotic dynamics, which is related to the stochastic instability of the transition through a sequence of period-doubling bifurcations, through intermittency, etc. At present, a strict mathematically grounded theory of dynamic failure phenomena of condensed matters and turbulence theories are absent, which implies the application of scaling relations and phenomenological approaches for their description. On the basis of design-theoretical studies and analysis of published data, it has been shown that phenomena of dynamic metal failure and fully developed turbulence are analogous, meaning that these processes have close values of critical exponents and belong to one universality class.
引用
收藏
页码:1473 / 1482
页数:10
相关论文
共 50 条