Experimental Mechanics

, Volume 34, Issue 4, pp 324–333 | Cite as

Residual-stress measurement in orthotropic materials using the hole-drilling method

  • G. S. Schajer
  • L. Yang


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.


Mechanical Engineer Fluid Dynamics Experimental Measurement Displacement Field Orthotropic Material 
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List of Symbols

A, B, C

calibration constants


orthotropic strain relief compliances


elastic moduli along x and y (elastic symmetry) axes


x−y shear modulus


orthotropic elastic modulus ratio [eq (10)]


hole radius


mean radius of strain-gage rosette

u, v

displacements inx andy directions

x, y

coordinates along elastic symmetry axes


geometrical parameters [eqs (14) and (15)]


geometrical parameters [eqs (18) and (19)]


geometrical parameters [eqs (20) and (21)]

α, β

orthotropic elastic material constants [eqs (12) and (13)]


x−y Cartesian shear strain


measured relieved strain

ɛx, ɛy

x−y Cartesian normal strains


counterclockwise angle measured from the x direction to the axis of the strain gage


orthotropic elastic material constant [eq (11)]


x−y Poisson's ratios

σx, σy

x−y Cartesian normal stresses


maximum (most tensile) principal stress


minimum (most compressive) principal stress


x−y Cartesian shear stress


angle measured counterclockwise from thex direction to the direction of σmax

ψ1, ψ2

geometrical parameters [eqs (16) and (17)]


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Copyright information

© Society for Experimental Mechanics, Inc. 1994

Authors and Affiliations

  • G. S. Schajer
    • 1
  • L. Yang
    • 1
  1. 1.Department of Mechanical EngineeringUniversity of British ColumbiaVancouverCanada

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