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.
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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
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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
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DOI: https://doi.org/10.1007/BF02323542