Abstract
We analyze a model of saturation of a thin plate with an alloying element under uniform loading with a distributed constant load. The appearance of internal stresses accompanying the diffusion processes is taken into account as well as the effect of the stresses on the mass transfer. The exact solution of the mechanical equilibrium problem has allowed us to reduce the model to a nonlinear diffusion problem with a convective term responsible for mass transfer under the action of stresses. We have found that the external loading significantly affects the process if the magnitude of the distributed load is greater than that of the internal stresses, which, in turn, depends on the material properties and the diffusant type. The time-dependence curves of the average strains in the direction of the acting load are typical of the phenomena of diffusion creep.
| Original language | English |
|---|---|
| Pages (from-to) | 692-704 |
| Number of pages | 13 |
| Journal | Mechanics of Solids |
| Volume | 46 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - Oct 2011 |
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Keywords
- coupled problem
- diffusion
- plane stress state
ASJC Scopus subject areas
- Mechanics of Materials
- Physics and Astronomy(all)
Cite this
Saturation of a plate with an environmental impurity under mechanical loading conditions. / Knyazeva, A. G.; Mikolaychuk, M. A.
In: Mechanics of Solids, Vol. 46, No. 5, 10.2011, p. 692-704.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Saturation of a plate with an environmental impurity under mechanical loading conditions
AU - Knyazeva, A. G.
AU - Mikolaychuk, M. A.
PY - 2011/10
Y1 - 2011/10
N2 - We analyze a model of saturation of a thin plate with an alloying element under uniform loading with a distributed constant load. The appearance of internal stresses accompanying the diffusion processes is taken into account as well as the effect of the stresses on the mass transfer. The exact solution of the mechanical equilibrium problem has allowed us to reduce the model to a nonlinear diffusion problem with a convective term responsible for mass transfer under the action of stresses. We have found that the external loading significantly affects the process if the magnitude of the distributed load is greater than that of the internal stresses, which, in turn, depends on the material properties and the diffusant type. The time-dependence curves of the average strains in the direction of the acting load are typical of the phenomena of diffusion creep.
AB - We analyze a model of saturation of a thin plate with an alloying element under uniform loading with a distributed constant load. The appearance of internal stresses accompanying the diffusion processes is taken into account as well as the effect of the stresses on the mass transfer. The exact solution of the mechanical equilibrium problem has allowed us to reduce the model to a nonlinear diffusion problem with a convective term responsible for mass transfer under the action of stresses. We have found that the external loading significantly affects the process if the magnitude of the distributed load is greater than that of the internal stresses, which, in turn, depends on the material properties and the diffusant type. The time-dependence curves of the average strains in the direction of the acting load are typical of the phenomena of diffusion creep.
KW - coupled problem
KW - diffusion
KW - plane stress state
UR - http://www.scopus.com/inward/record.url?scp=83055163436&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=83055163436&partnerID=8YFLogxK
U2 - 10.3103/S0025654411050050
DO - 10.3103/S0025654411050050
M3 - Article
AN - SCOPUS:83055163436
VL - 46
SP - 692
EP - 704
JO - Mechanics of Solids
JF - Mechanics of Solids
SN - 0025-6544
IS - 5
ER -