Abstract
In the paper, we use the nonlinear multiscale approach of physical mesomechanics to demonstrate that the scales of local crystal structure curvature in solids play a fundamental role in the generation of strain-induced defects and cracks. It is shown that strain-induced defects arise at the interfaces of 2D planar and 3D crystal subsystems by the mechanism of “laser pumping” and cracks nucleate as structural phase decay in the zones of crystal structure curvature where the nonequilibrium thermodynamic potential or so-called Gibbs energy is higher than zero. Nonlinear fracture mechanics eliminates the problem of singularity 1/r in equations of crack growth but requires accounting for local lattice curvature at the crack tip.
| Original language | English |
|---|---|
| Pages (from-to) | 89-99 |
| Number of pages | 11 |
| Journal | Physical Mesomechanics |
| Volume | 18 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 29 Apr 2015 |
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Keywords
- cracks
- crystal structure curvature
- generation mechanisms
- nonlinear multiscale approach
- plasticity
- strain-induced defects
- strength
ASJC Scopus subject areas
- Materials Science(all)
- Condensed Matter Physics
- Mechanics of Materials
- Surfaces and Interfaces
Cite this
Fundamental role of crystal structure curvature in plasticity and strength of solids. / Panin, V. E.; Panin, Alexey Victorovich; Elsukova, T. F.; Popkova, Yu F.
In: Physical Mesomechanics, Vol. 18, No. 2, 29.04.2015, p. 89-99.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Fundamental role of crystal structure curvature in plasticity and strength of solids
AU - Panin, V. E.
AU - Panin, Alexey Victorovich
AU - Elsukova, T. F.
AU - Popkova, Yu F.
PY - 2015/4/29
Y1 - 2015/4/29
N2 - In the paper, we use the nonlinear multiscale approach of physical mesomechanics to demonstrate that the scales of local crystal structure curvature in solids play a fundamental role in the generation of strain-induced defects and cracks. It is shown that strain-induced defects arise at the interfaces of 2D planar and 3D crystal subsystems by the mechanism of “laser pumping” and cracks nucleate as structural phase decay in the zones of crystal structure curvature where the nonequilibrium thermodynamic potential or so-called Gibbs energy is higher than zero. Nonlinear fracture mechanics eliminates the problem of singularity 1/r in equations of crack growth but requires accounting for local lattice curvature at the crack tip.
AB - In the paper, we use the nonlinear multiscale approach of physical mesomechanics to demonstrate that the scales of local crystal structure curvature in solids play a fundamental role in the generation of strain-induced defects and cracks. It is shown that strain-induced defects arise at the interfaces of 2D planar and 3D crystal subsystems by the mechanism of “laser pumping” and cracks nucleate as structural phase decay in the zones of crystal structure curvature where the nonequilibrium thermodynamic potential or so-called Gibbs energy is higher than zero. Nonlinear fracture mechanics eliminates the problem of singularity 1/r in equations of crack growth but requires accounting for local lattice curvature at the crack tip.
KW - cracks
KW - crystal structure curvature
KW - generation mechanisms
KW - nonlinear multiscale approach
KW - plasticity
KW - strain-induced defects
KW - strength
UR - http://www.scopus.com/inward/record.url?scp=84930200832&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84930200832&partnerID=8YFLogxK
U2 - 10.1134/S1029959915020010
DO - 10.1134/S1029959915020010
M3 - Article
VL - 18
SP - 89
EP - 99
JO - Physical Mesomechanics
JF - Physical Mesomechanics
SN - 1029-9599
IS - 2
ER -