Abstract
A two-dimensional mathematical model of propagation of chemical conversion in a plate under mechanical loading is proposed. The problem is numerically studied for three variants of loads and displacements on the plate surfaces: clamped plate, uniaxial tension, and shear. As the fields of temperatures, concentrations, and stresses are coupled, the conversion modes under different loading conditions are found to be different. By means of a parametric study of the model, it is demonstrated that the value of internal stresses may be substantially higher than the external load.
| Original language | English |
|---|---|
| Pages (from-to) | 329-339 |
| Number of pages | 11 |
| Journal | Journal of Applied Mechanics and Technical Physics |
| Volume | 52 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - May 2011 |
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Keywords
- chemical reaction
- conversion modes
- shear
- strains
- stresses
- tension
ASJC Scopus subject areas
- Mechanical Engineering
- Mechanics of Materials
- Condensed Matter Physics
Cite this
Effect of loading conditions on regimes of solid-phase transformations in a plate. / Evstigneev, N. K.; Knyazeva, A. G.
In: Journal of Applied Mechanics and Technical Physics, Vol. 52, No. 3, 05.2011, p. 329-339.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Effect of loading conditions on regimes of solid-phase transformations in a plate
AU - Evstigneev, N. K.
AU - Knyazeva, A. G.
PY - 2011/5
Y1 - 2011/5
N2 - A two-dimensional mathematical model of propagation of chemical conversion in a plate under mechanical loading is proposed. The problem is numerically studied for three variants of loads and displacements on the plate surfaces: clamped plate, uniaxial tension, and shear. As the fields of temperatures, concentrations, and stresses are coupled, the conversion modes under different loading conditions are found to be different. By means of a parametric study of the model, it is demonstrated that the value of internal stresses may be substantially higher than the external load.
AB - A two-dimensional mathematical model of propagation of chemical conversion in a plate under mechanical loading is proposed. The problem is numerically studied for three variants of loads and displacements on the plate surfaces: clamped plate, uniaxial tension, and shear. As the fields of temperatures, concentrations, and stresses are coupled, the conversion modes under different loading conditions are found to be different. By means of a parametric study of the model, it is demonstrated that the value of internal stresses may be substantially higher than the external load.
KW - chemical reaction
KW - conversion modes
KW - shear
KW - strains
KW - stresses
KW - tension
UR - http://www.scopus.com/inward/record.url?scp=79959957900&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79959957900&partnerID=8YFLogxK
U2 - 10.1134/S0021894411030011
DO - 10.1134/S0021894411030011
M3 - Article
AN - SCOPUS:79959957900
VL - 52
SP - 329
EP - 339
JO - Journal of Applied Mechanics and Technical Physics
JF - Journal of Applied Mechanics and Technical Physics
SN - 0021-8944
IS - 3
ER -