Abstract
In this paper, the one-dimensional mathematical formulation of the conjugate coupling problem of the thermal elasticity theory with non-ideal contact between substances is suggested. The approximate analytical solution of the problem is received for both quasi-static and dynamic formulations. The integral transformation method of Laplace is used together with asymptotic representation of solution in the transformation space. The fields of the temperatures, stresses, strains and displacements are found. It is demonstrated with the help of some examples that the region near the interface may be the cause of the localization of stresses. The numerical solution of the quasi-static problem is in a qualitative agreement with the analytical estimations.
| Original language | English |
|---|---|
| Pages (from-to) | 252-260 |
| Number of pages | 9 |
| Journal | Computational Materials Science |
| Volume | 19 |
| Issue number | 1-4 |
| Publication status | Published - 15 Dec 2000 |
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Keywords
- Analytical solution
- Coating
- Conjugate problem
- Coupling effect
- Heat resistance
- Thermoelasticity
ASJC Scopus subject areas
- Materials Science(all)
Cite this
The conjugate problem of the thermal elasticity theory with imperfect heat contact between substances. / Knyazeva, A. G.
In: Computational Materials Science, Vol. 19, No. 1-4, 15.12.2000, p. 252-260.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - The conjugate problem of the thermal elasticity theory with imperfect heat contact between substances
AU - Knyazeva, A. G.
PY - 2000/12/15
Y1 - 2000/12/15
N2 - In this paper, the one-dimensional mathematical formulation of the conjugate coupling problem of the thermal elasticity theory with non-ideal contact between substances is suggested. The approximate analytical solution of the problem is received for both quasi-static and dynamic formulations. The integral transformation method of Laplace is used together with asymptotic representation of solution in the transformation space. The fields of the temperatures, stresses, strains and displacements are found. It is demonstrated with the help of some examples that the region near the interface may be the cause of the localization of stresses. The numerical solution of the quasi-static problem is in a qualitative agreement with the analytical estimations.
AB - In this paper, the one-dimensional mathematical formulation of the conjugate coupling problem of the thermal elasticity theory with non-ideal contact between substances is suggested. The approximate analytical solution of the problem is received for both quasi-static and dynamic formulations. The integral transformation method of Laplace is used together with asymptotic representation of solution in the transformation space. The fields of the temperatures, stresses, strains and displacements are found. It is demonstrated with the help of some examples that the region near the interface may be the cause of the localization of stresses. The numerical solution of the quasi-static problem is in a qualitative agreement with the analytical estimations.
KW - Analytical solution
KW - Coating
KW - Conjugate problem
KW - Coupling effect
KW - Heat resistance
KW - Thermoelasticity
UR - http://www.scopus.com/inward/record.url?scp=0347368407&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0347368407&partnerID=8YFLogxK
M3 - Article
VL - 19
SP - 252
EP - 260
JO - Computational Materials Science
JF - Computational Materials Science
SN - 0927-0256
IS - 1-4
ER -