Abstract
The transient thermal-stress concentrations produced by cracks, sharp and round notches, and fillets, in plates were measured photoelastically and compared to values computed numerically by finite element and finite-difference techniques. The stresses near the tips of the cracks and the notches were singular and observed to agree with isothermal linear elastic fracture mechanics. Stresses near the root of the fillets were always less than the theoretical maximum, αE(T−T initial ), but often greater than the maximum stresses measured in a straight-edged plate subjected to similar thermal conditions.
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Abbreviations
- A :
-
area
- b :
-
length of crack
- Bi :
-
Biot modulus (hW/k)
- d :
-
diameter
- E :
-
modulus of elasticity
- f :
-
fringe order
- h :
-
film heat-transfer coefficient
- K :
-
stress-concentration factor, stress-intensity factor
- \(\bar K\) :
-
generalized stress-intensification factor
- k :
-
coefficient of thermal conductivity
- L :
-
length of plate
- M :
-
moment
- P :
-
normal tensile load
- r :
-
radius
- t :
-
time
- T :
-
temperature
- W :
-
width of plate
- x,y :
-
rectangular Cartesian coordinate (Fig. 1)
- α:
-
coefficient of thermal expansion, half angle of notch
- ζ:
-
nondimensionalx coordinate (x/W)
- τ:
-
nondimensional time (kt/W 2), maximum shear stress
- σij :
-
Cartesian stress components
- κ:
-
coefficient of thermal diffusivity
- ϕ:
-
Airy stress function
- θ:
-
polar angle
- f :
-
fluid
- i :
-
initial
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Additional information
J. A. Williams was Graduate Student (presently with the U. S. Air Force), and J. Avery was Graduate Student (presently with U. S. Army), Univerity of Washington, Seattle, Washington.
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Emery, A.F., Williams, J.A. & Avery, J. Thermal-stress concentration caused by structural discontinuities. Experimental Mechanics 9, 558–564 (1969). https://doi.org/10.1007/BF02316658
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DOI: https://doi.org/10.1007/BF02316658