Physical foundations of nonlinear fracture mechanics

被引:13
作者
Egorushkin, V. E. [1 ]
Panin, V. E. [1 ]
机构
[1] Russian Acad Sci, Siberian Branch, Inst Strength Phys & Mat Sci, Tomsk 634021, Russia
基金
俄罗斯基础研究基金会;
关键词
physics; mechanics; fracture; gauge theory; nonlinearwave; dynamic rotation;
D O I
10.3103/S0025654413050087
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A survey of the authors' papers dealing with the physical foundations of multilevel nonlinear fracture mechanics is presented. The gauge theory of defects is used to obtain wave equations that predict the possibility of a crack development as a nonlinear wave process. Under viscous fracture conditions, nonlinear fracture waves disperse forming local mesovortices in the form of dynamic rotations. Experimental data confirming the wave theory predictions are given. The fracture development is related to the structure-phase breakup of a deformable crystal in the regions of its strong curvature.
引用
收藏
页码:525 / 536
页数:12
相关论文
共 30 条
[21]  
Goldstein R. V., 2009, Matematich. Modelir. Sistem Protsessov, P47
[22]  
Kleinert H., 1989, Gauge Fields in Condensed Matter
[23]  
Meyers MA., 1999, MECH BEHAV MAT
[24]  
Morozov NF., 1984, Mathematical problems of crack theory
[25]  
Onami M., 1987, INTRO MICROMECHANICS
[26]  
[Панин Алексей Викторович Panin A.V.], 2009, [Физическая мезомеханика, Physical Mesomechanics, Fizicheskaya mezomekhanika], V12, P83
[27]   Physical mesomechanics of a deformed solid as a multilevel system. II. Chessboard-like mesoeffect of the interface in heterogeneous media in external fields [J].
Panin, V. E. ;
Panin, A. V. ;
Moiseenko, D. D. .
PHYSICAL MESOMECHANICS, 2007, 10 (1-2) :5-14
[28]   Nonlinear Wave Processes of Crack Propagation in Brittle and Brittle-Ductile Fracture [J].
Panin, V. E. ;
Egorushkin, V. E. ;
Derevyagina, L. S. ;
Deryugin, E. E. .
PHYSICAL MESOMECHANICS, 2013, 16 (03) :183-190
[29]   Nanostructural states in solids [J].
Panin, V. E. ;
Egorushkin, V. E. .
PHYSICS OF METALS AND METALLOGRAPHY, 2010, 110 (05) :464-473
[30]  
Панин Виктор Евгеньевич, 2013, [Физическая мезомеханика, Physical Mesomechanics, Fizicheskaya mezomekhanika], V16, P5