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Effects of artificial cracks and poisson's ratio upon photoelastic stress-intensity determination

Influence of notch geometry and constraint effects upon direct determination of stress-intensity factors via photoelastic techniques

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Abstract

A series of stress-freezing photoelastic experiments were performed with multiple replications upon edge-cracked strips for three types of “cracks” in current use:

  1. (1)

    Rectangular slots 0.152 mm wide,

  2. (2)

    1.59-mm-wide slots terminating in a 30-deg vee notch of approximately 0.025-mm root radius, and

  3. (3)

    Natural cracks (approximately 0.0025-mm root radius).

Stress-intensity results were compared with the Gross-Srawley analysis; in addition (1) was compared with Savin's solution. It was concluded that (2) and (3) yield the same results but (1) was slightly higher.

Both (2) and (3) were about 12 percent higher than the Gross-Srawley results. This is shown to be related to a Poisson's ratio effect.

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Abbreviations

r, θ:

polar coordinates as defined in Fig. 1 (mm, rad)

x, y :

Cartesian coordinates as defined in Fig. 1 (mm)

σ ij :

stress componentsi, j=1, 2 (KPa)

ε ij :

strain componentsi, j=1, 2 (mm/mm)

μ i :

displacement componentsi=1, 2 (mm)

τmax :

maximum in-plane shearing stress (KPa)

K I :

Mode I stress-intensity factor (KPa-m1/2)

K AP :

apparent Mode I stress-intensity factor (KPa-m1/2)K AP=τmax(8πγ)1/2

K TSCM :

estimatedK I byTSCM * (KPa-m1/2)

s :

length along curved path (mm)

g I :

Mode I strain-energy release rate (J/m2)

E :

modulus of elasticity (GPa)

ν:

Poisson's ratio

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Authors and Affiliations

  1. Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, 24061, Blacksburg, VA

    C. W. Smith (Professor), J. J. McGowan (Assistant Professor) & M. Jolles (Lecturer)

Authors
  1. C. W. Smith
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  2. J. J. McGowan
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  3. M. Jolles
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Smith, C.W., McGowan, J.J. & Jolles, M. Effects of artificial cracks and poisson's ratio upon photoelastic stress-intensity determination. Experimental Mechanics 16, 188–193 (1976). https://doi.org/10.1007/BF02327997

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  • DOI: https://doi.org/10.1007/BF02327997

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