Abstract
Scientific basis for describing a deformable solid as a nonlinear hierarchically organized system has been developed. It has been predicted theoretically and verified experimentally that primary plastic shear strains in a loaded solid are nonlinear waves of local structural transformations in 2D surface layers and internal interfaces with no long-range order. The development of these nonlinear waves owes to multiscale self-consistency of plastic flow at different structural-scale flevels. Strain-induced defects of any type nucleate in highly excited hydrostatic tension zones that arise as nonlinear waves of channeled plastic flow propagate in the 2D systems. A regular occurrence of the zones defines the nature of plastic strain localization. It is suggested that a local curvature of vortex plastic flows be considered as a generalized structural parameter to provide multiscale plastic flow consistency in a material in the entire hierarchy of structural scales, including its electronic subsystem. The generalized structural parameter allows an adequate description of a deformable solid in different thermodynamic states, including highly nonequilibrium nanostructured materials.
| Original language | English |
|---|---|
| Pages (from-to) | 207-223 |
| Number of pages | 17 |
| Journal | Physical Mesomechanics |
| Volume | 14 |
| Issue number | 5-6 |
| DOIs | |
| Publication status | Published - 2011 |
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Keywords
- Plastic deformation, multiscale pattern, nonlinear waves, generation of strain-induced defects, defect flux curvature as a generalized structural parameter
ASJC Scopus subject areas
- Mechanics of Materials
- Materials Science(all)
- Condensed Matter Physics
- Surfaces and Interfaces
Cite this
Deformable solid as a nonlinear hierarchically organized system. / Panin, V. E.; Egorushkin, V. E.
In: Physical Mesomechanics, Vol. 14, No. 5-6, 2011, p. 207-223.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Deformable solid as a nonlinear hierarchically organized system
AU - Panin, V. E.
AU - Egorushkin, V. E.
PY - 2011
Y1 - 2011
N2 - Scientific basis for describing a deformable solid as a nonlinear hierarchically organized system has been developed. It has been predicted theoretically and verified experimentally that primary plastic shear strains in a loaded solid are nonlinear waves of local structural transformations in 2D surface layers and internal interfaces with no long-range order. The development of these nonlinear waves owes to multiscale self-consistency of plastic flow at different structural-scale flevels. Strain-induced defects of any type nucleate in highly excited hydrostatic tension zones that arise as nonlinear waves of channeled plastic flow propagate in the 2D systems. A regular occurrence of the zones defines the nature of plastic strain localization. It is suggested that a local curvature of vortex plastic flows be considered as a generalized structural parameter to provide multiscale plastic flow consistency in a material in the entire hierarchy of structural scales, including its electronic subsystem. The generalized structural parameter allows an adequate description of a deformable solid in different thermodynamic states, including highly nonequilibrium nanostructured materials.
AB - Scientific basis for describing a deformable solid as a nonlinear hierarchically organized system has been developed. It has been predicted theoretically and verified experimentally that primary plastic shear strains in a loaded solid are nonlinear waves of local structural transformations in 2D surface layers and internal interfaces with no long-range order. The development of these nonlinear waves owes to multiscale self-consistency of plastic flow at different structural-scale flevels. Strain-induced defects of any type nucleate in highly excited hydrostatic tension zones that arise as nonlinear waves of channeled plastic flow propagate in the 2D systems. A regular occurrence of the zones defines the nature of plastic strain localization. It is suggested that a local curvature of vortex plastic flows be considered as a generalized structural parameter to provide multiscale plastic flow consistency in a material in the entire hierarchy of structural scales, including its electronic subsystem. The generalized structural parameter allows an adequate description of a deformable solid in different thermodynamic states, including highly nonequilibrium nanostructured materials.
KW - Plastic deformation, multiscale pattern, nonlinear waves, generation of strain-induced defects, defect flux curvature as a generalized structural parameter
UR - http://www.scopus.com/inward/record.url?scp=84855432684&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84855432684&partnerID=8YFLogxK
U2 - 10.1016/j.physme.2011.12.002
DO - 10.1016/j.physme.2011.12.002
M3 - Article
AN - SCOPUS:84855432684
VL - 14
SP - 207
EP - 223
JO - Physical Mesomechanics
JF - Physical Mesomechanics
SN - 1029-9599
IS - 5-6
ER -