Abstract
Type 304 stainless-steel plates 0.24×2.25×4 in. in size were subjected to stagnation heating in an oxyacetylene-flame apparatus. Transient thermal strains at temperatures up to 2000°F were measured with a water-cooled Tuckerman optical strain gage shielded from heat transfer by a cooled radiant-heat shield. The general equations of thermoelasticity are used for a flat homogeneous plate which is subjected to a particular transient three-dimensional temperature distribution. The optically measured strains on the unheated surfaces of the specimens were in close agreement with the thermal strains from the analytical solution using experimentally obtained temperature distributions in the specimens.
Similar content being viewed by others
Abbreviations
- a, b, c, d, e, f, g, h &i :
-
temperature-distribution constants
- j :
-
half length of specimen−2.0 in
- k :
-
half width of specimen−1.125 in
- p :
-
half thickness of specimen−0.120 in
- q :
-
space coordinate parallel to z-axis
- r :
-
space coordinate parallel to y-axis
- s :
-
space coordinate parallel to x-axis
- t :
-
time, sec
- x, y, z :
-
cartesian space coordinates
- E :
-
modulus of elasticity, psi
- G :
-
shear modulus, psi
- M :
-
moment, in.-lb
- T :
-
temperature, °F
- X, Y, Z :
-
directions corresponding to x, y, z-axes
- α:
-
coefficient of thermal expansion, in./in.−°F
- γ:
-
shear-strain component, in./in
- ε:
-
normal strain component, in./in
- ν:
-
Poisson's ratio
- σ:
-
normal-stress component, psi
- τ:
-
shear-stress component, psi
References
“Optical Strain Gage,” American Instrument Co., Inc., Bulletin 2294, July 1959.
Suzuki, B. H., and Frisch, J., “Stress-Strain Distribution During Transient Heating of a Transversely Anisotropic Material,” ASME Paper No. 62-WA-293, November 1962.
Hornbaker, D. R., “Transient Temperature Distributions in a Thermally Orthotropic Plate with Non-Uniform Surface Heating,” University of California Eng. Proj. Report HE-150-189, June 1961.
Wizansky, D., and Russ, E. J., “An Oxyacetylene Flame Apparatus for Surface Ablation Studies,” University of California Eng. Proj. Report HE-150-167, January 1959.
Russ, E. J., “Heating Rate Characteristics of an Oxyacetylene Flame Apparatus for Surface Ablation Studies,” University of California Eng. Proj. Report HE-150-176, December 1959.
Cobb, Jr., L. L., “The Influence of Hydrogen Recombination on Turbulent Flow Heat Transfer to a Flat Plate,” University of California Eng. Proj. Report HE-150-183, June 1960.
Arne, C. L., “Optical Strain Measurements in Stainless Steel at Transient Temperatures to 2000° F, University of California Eng. Proj. Report HE-150-204, December 1962.
Timoshenko, S. andGoodier, J. N., “Theory of Elasticity,”2nd Ed., McGraw-Hill Book Co., New York, 1951.
Boley, B. A., andWeiner, J. H., “Theory of Thermal Stresses,”John Wiley and Sons, Inc., New York (1960).
Popov, E. P., “Mechanics of Materials,”Prentice-Hall, Inc., Englewood Cliffs, N. J., 1952.
“Optical Strain Gages and Extensometers,” ASTM, 23, (1923).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Frisch, J., Arne, C.L. Optical strain determination at transient high temperatures in stainless steel. Experimental Mechanics 4, 320–327 (1964). https://doi.org/10.1007/BF02323542
Issue Date:
DOI: https://doi.org/10.1007/BF02323542