Another approach for the solution of the inverse heat conduction problem is presented. The unknown boundary conditions are recovered from thermal strain and temperature measurements instead of temperature measurements only. It is required to calculate both the temperature field and the strains induced by this field. The sensitivity coefficient analysis and the results of two benchmark test cases show that it is possible to recover higher temporal frequencies when the inversion is done from strains instead of temperatures. An experimental setup was specially designed to validate the numerical results. The numerical predictions are verified. Special attention is given to the strain gage measurements.

Issue Section:
Heat Conduction
Keywords:
Conduction, Measurement Techniques, Transient and Unsteady Heat Transfer
Topics:
Heat conduction, Strain measurement
1.
Alifanov, O. M., 1994, Inverse Heat Transfer Problems, Springer-Verlag Publishers, Berlin.
2.
Beck
 
J. V.
,
1970
, “
Nonlinear Estimation Applied to the Nonlinear Inverse Heat Conduction Problem
,”
Int. J. Heat Mass Transfer
, Vol.
13
, pp.
703
–
716
.
3.
Beck, J. V., Blackwell, B., and St. Clair, C. R., 1985, Inverse Heat Conduction, Ill-Posed Problems, Wiley Intersciences Publishers, New York.
4.
Boley, B. A., and Weiner, J. H., 1966, Theory of Thermal Stresses, 3rd ed., Wiley, New York.
5.
Crysa
 
K.
,
Cialkowski
 
M. J.
, and
Kaminski
 
H.
,
1981
, “
Inverse Temperature Field Problem of the Theory of the Thermal Stresses
,”
Nucl. Eng. Design
, Vol.
64
, pp.
169
–
184
.
6.
Hensel, E., 1991, Inverse Theory and Applications for Engineers, Prentice Hall Publishers, Englewood Cliffs, NJ.
7.
Hills
 
R.
, and
Mulholland
 
G. P.
,
1979
, “
The Accuracy and Resolving Power on One Dimensional Transient Inverse Heat Conduction Theory as Applied to Discrete and Inaccurate Measurements
,”
Int. J. Heat Mass Transfer
, Vol.
22
, pp.
1221
–
1229
.
8.
Hills
 
R.
,
Raynaud
 
M.
, and
Hensel
 
E.
,
1986
, “
Surface Variance Estimates Using an Adjoint Formulation for a One Dimensional Nonlinear Inverse Heat Conduction Technique
,”
Numerical Heat Transfer
, Vol.
10
, pp.
441
–
461
.
9.
Kurpisz, K., and Nowak, A. J., 1995, Inverse Thermal Problems, Computational Mechanics Publications, Southampton, United Kingdom.
10.
Maillet
 
D.
,
Degiovanni
 
A.
, and
Pasquetti
 
R.
,
1991
, “
Inverse Heat Conduction Applied to the Measurement of Heat Transfer Coefficient on a Cylinder. Comparison Between an Analytical and a Boundary Element Technique
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
113
, pp.
549
–
557
.
11.
Marquardt
 
W.
, and
Auracher
 
H.
,
1990
, “
An Observer-Based Solution of Inverse Heat Conduction Problems
,”
Int. J. Heat Mass Transfer
, Vol.
33
, pp.
1545
–
1562
.
12.
Morilhat
 
P.
,
Maye
 
J. P.
,
Brendle
 
E.
, and
Hay
 
B.
,
1992
, “
Re´solution d’un proble`me thermique inverse par la me´thode analytique et impulsionnelle
,”
Int. J. Heat Mass Transfer
, Vol.
35
, No.
6
, pp.
1377
–
1382
.
13.
Murio, D., 1993, The Mollification Method and the Numerical Solution of Ill-Posed Problems, Wiley Interscience Publishers, New York.
14.
Noda
 
N.
,
1989
, “
On Certain Problem of Coupled Thermal Stress Fields in a Long Circular Cylinder
,”
JSME International Journal
, Series I, Vol.
32
, No.
3
, pp.
348
–
354
.
15.
Raynaud
 
M.
, and
Bransier
 
J.
,
1986
, “
A New Finite Difference Method for the Nonlinear Inverse Heat Conduction Problem
,”
Numerical Heat Transfer
, Vol.
9
, No.
1
, pp.
27
–
42
.
16.
Raynaud
 
M.
, and
Beck
 
J. V.
,
1988
, “
Methodology for Comparison of Inverse Heat Conduction Methods
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
110
, pp.
30
–
37
.
17.
Raynaud, M., Blanc, G., and Chau, T. H., 1993, “Solution of an Inverse Heat Conduction Problem Using Strain Gage Measurements,” Proc. 1st Int. Conf. Inverse Problems in Engineering: Theory and Practice, Palm Coast, FL, ASME Publications, New York, pp. 47–52.
18.
Ruperti
 
N.
,
Rayuaud
 
M.
, and
Sacadura
 
J. F.
,
1996
, “
A Method for the Solution of the Coupled Inverse Heat Conduction-Radiation Problem
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
118
,
10
–
17
.
19.
Scarpa
 
F.
, and
Milano
 
G.
,
1995
, “
Kalman Smoothing Technique Applied to the Inverse Heat Conduction Problem
,”
Numerical Heat Transfer
, Part B, Vol.
28
, pp.
79
–
96
.
20.
Stolz
 
G.
,
1960
, “
Numerical Solution to an Inverse Problem of Heat Conduction for Simple Shapes
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
82
, pp.
20
–
27
.
This content is only available via PDF.
Copyright © 1996
 by The American Society of Mechanical Engineers
You do not currently have access to this content.