Abstract
A nonlinear wave approach to the description of a deformable solid as a multiscale hierarchically organized system was developed. It is shown that all types of strain-induced defects can be represented as curvature solitons of crystal structure-generalized structural wave carriers of plastic deformation and fracture of solids. The scale of a curvature soliton defines the type of a strain-induced defect. The waves of curvature solitons can be dispersed. A curvature soliton generates a crack if the Gibbs thermodynamic potential in a local curvature zone is positive and the material undergoes structural phase decay.
| Original language | English |
|---|---|
| Pages (from-to) | 267-286 |
| Number of pages | 20 |
| Journal | Physical Mesomechanics |
| Volume | 16 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2013 |
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Keywords
- cracks
- curvature solitons
- nonlinear waves of plastic flow and fracture
- strain-induced defects
ASJC Scopus subject areas
- Mechanics of Materials
- Materials Science(all)
- Condensed Matter Physics
- Surfaces and Interfaces
Cite this
Curvature solitons as generalized structural wave carriers of plastic deformation and fracture. / Panin, V. E.; Egorushkin, V. E.
In: Physical Mesomechanics, Vol. 16, No. 4, 2013, p. 267-286.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Curvature solitons as generalized structural wave carriers of plastic deformation and fracture
AU - Panin, V. E.
AU - Egorushkin, V. E.
PY - 2013
Y1 - 2013
N2 - A nonlinear wave approach to the description of a deformable solid as a multiscale hierarchically organized system was developed. It is shown that all types of strain-induced defects can be represented as curvature solitons of crystal structure-generalized structural wave carriers of plastic deformation and fracture of solids. The scale of a curvature soliton defines the type of a strain-induced defect. The waves of curvature solitons can be dispersed. A curvature soliton generates a crack if the Gibbs thermodynamic potential in a local curvature zone is positive and the material undergoes structural phase decay.
AB - A nonlinear wave approach to the description of a deformable solid as a multiscale hierarchically organized system was developed. It is shown that all types of strain-induced defects can be represented as curvature solitons of crystal structure-generalized structural wave carriers of plastic deformation and fracture of solids. The scale of a curvature soliton defines the type of a strain-induced defect. The waves of curvature solitons can be dispersed. A curvature soliton generates a crack if the Gibbs thermodynamic potential in a local curvature zone is positive and the material undergoes structural phase decay.
KW - cracks
KW - curvature solitons
KW - nonlinear waves of plastic flow and fracture
KW - strain-induced defects
UR - http://www.scopus.com/inward/record.url?scp=84891114862&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84891114862&partnerID=8YFLogxK
U2 - 10.1134/S1029959913040012
DO - 10.1134/S1029959913040012
M3 - Article
VL - 16
SP - 267
EP - 286
JO - Physical Mesomechanics
JF - Physical Mesomechanics
SN - 1029-9599
IS - 4
ER -