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Application of three-dimensional digital image correlation to the core-drilling method

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Abstract

We present a non-destructive technique for the determination ofin situ stresses in concrete structures, reterred to as the core-drilling method. The method is similar to the American Society for Testing and Materials (ASTM) hole-drilling strain gage method, except that the core-drilling method is formulated in the current work are performed with traditional photogrammetry, and the more novel (and more accurate) three-dimensional digital image correlation. In this paper we review the background elasticity theory and we discuss the results of verification experiments on steel plates. Calculated normal stresses are within 17% of applied values for photogrammetry, and 7% for three-dimensional digital image correlation.

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Abbreviations

a :

hole radius

f c :

concrete compressive strength

m :

radius of measurement circle

r :

distance of any point to center of hole

A, B, C, F, H, M, J :

material and geometric constants

E :

modulus of elasticity

U :

measured displacement

ϕ(z), k(z), ψ(z), Φ(z), ψ(z):

analytic functions of complex variable

A n ,a k ,a k :

Fourier series coefficients

σ x , σ y , τ xy :

in-plane normal and shear stresses

K x ,K y :

in-plane stress gradients

α:

angle measured counterelockwise from thex-axis to the point of interest

u, v :

radial and tangential relieved displacements

α i , β, θ ij , θ ji :

geometrical parameters (see Fig. 1)

ϕ:

Airy stress function

μ:

modulus of rigidity

ξ:

material constant for plane stress and plain strain

υ:

Poisson's ratio

dx, dy, θz:

rigid body horizontal, vertical and rotational displacements

γ1, γ2, γ3 :

rigid body motion scaling factors

ℜ:

real algebraic operator

References

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Authors and Affiliations

  1. Department of Civil and Environmental Engineering, Lehigh University, Bethlehem, PA, USA

    M. J. McGinnis (Graduate Student) & S. Pessiki (Associate Professor)

  2. Department of Civil Engineering, Mustafa Kemal University, Hatay, Turkey

    H. Turker (Assistant Professor)

Authors
  1. M. J. McGinnis
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  2. S. Pessiki
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  3. H. Turker
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McGinnis, M.J., Pessiki, S. & Turker, H. Application of three-dimensional digital image correlation to the core-drilling method. Experimental Mechanics 45, 359–367 (2005). https://doi.org/10.1007/BF02428166

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  • DOI: https://doi.org/10.1007/BF02428166

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