Abstract
The hole-drilling method is used here to measure residual stresses in an orthotropic material. An existing stress-calculation method adapted from the isotropic case is shown not to be valid for orthotropic materials. A new stress-calculation method is described, based on the analytical solution for the displacement field around a hole in a stressed orthotropic plate. The validity of this method is assessed through a series of experimental measurements. A table of elastic compliances is provided for practical residual-stress measurements in a wide range of orthotropic materials.
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Abbreviations
- A, B, C :
-
calibration constants
- C ** :
-
orthotropic strain relief compliances
- E x ,E y :
-
elastic moduli along x and y (elastic symmetry) axes
- G xy :
-
x−y shear modulus
- m :
-
orthotropic elastic modulus ratio [eq (10)]
- r a :
-
hole radius
- r m :
-
mean radius of strain-gage rosette
- u, v :
-
displacements inx andy directions
- x, y :
-
coordinates along elastic symmetry axes
- W 1 ,W 2 :
-
geometrical parameters [eqs (14) and (15)]
- X 1 ,X 2 :
-
geometrical parameters [eqs (18) and (19)]
- Y 1 ,Y 2 :
-
geometrical parameters [eqs (20) and (21)]
- α, β:
-
orthotropic elastic material constants [eqs (12) and (13)]
- Υxy :
-
x−y Cartesian shear strain
- ɛ r :
-
measured relieved strain
- ɛ x , ɛ y :
-
x−y Cartesian normal strains
- θ:
-
counterclockwise angle measured from the x direction to the axis of the strain gage
- κ:
-
orthotropic elastic material constant [eq (11)]
- ν xy :
-
x−y Poisson's ratios
- σ x , σ y :
-
x−y Cartesian normal stresses
- σmax :
-
maximum (most tensile) principal stress
- σmin :
-
minimum (most compressive) principal stress
- τxy :
-
x−y Cartesian shear stress
- ϕ:
-
angle measured counterclockwise from thex direction to the direction of σmax
- ψ1, ψ2 :
-
geometrical parameters [eqs (16) and (17)]
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Schajer, G.S., Yang, L. Residual-stress measurement in orthotropic materials using the hole-drilling method. Experimental Mechanics 34, 324–333 (1994). https://doi.org/10.1007/BF02325147
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DOI: https://doi.org/10.1007/BF02325147