Journal of Failure Analysis and Prevention

, Volume 17, Issue 5, pp 919–934 | Cite as

Stress Intensity Factor K I and T-Stress Determination in HDPE Material

  • Mohammed A. Bouchelarm
  • Mohamed Mazari
  • Noureddine Benseddiq
Technical Article---Peer-Reviewed


For the characterization of high-density polyethylene (HDPE) pipes according to the operating conditions, the Nol ring test is an adequate method to rapidly and inexpensively determine the mechanical properties with good effectiveness. In this work, Nol ring tests will be carried out on HDPE material with different crack depth ratios. Based on these results, the brittle fracture of HDPE will be studied and a new experimental technique for measuring stress intensity factor (SIF) and T-stress under mode I conditions is developed. The formulation of the normal strains, close to the crack tip, is given using the first five terms of the generalized Westergaard formulation. Then, in a second step, these formulations are applied to analytically determine the optimum locations for the rectangular rosette to eliminate the errors due to higher order terms of the asymptotic expansion.


High-density polyethylene Nol ring test Fracture Stress intensity factor T-stress 

List of symbols


Crack length

An, Bm

Coefficients of Williams infinite series

D0, D

Internal and external diameter of the pipe


Young’s modulus




Mode I stress intensity factor

P(r, θ)

Location of the strain gages

(r, θ)

Radial and angular distance from the crack tip located at point P


Initial cross section of the ring specimen


Pipe wall thickness




Half width of the CCP specimen

x, y, z

Cartesian coordinates components


Orientation angle of the rosette with respect to the crack axis

\(\varepsilon_{xx} ,\varepsilon_{yy}\)

Normal strains in x and y direction

\(\varepsilon_{rr} ,\varepsilon_{\theta \theta }\)

Normal strains in relative to a rotated coordinate system (x′, y′)

\(\gamma_{r\theta }\)

Shear strain in x-y plane


Poisson’s ratio


Shear modulus

\(\sigma_{xx} ,\sigma_{yy} ,\tau_{xy}\)

The stress components in x and y directions


Central cracked plate


High-density polyethylene


Stress intensity factor


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Copyright information

© ASM International 2017

Authors and Affiliations

  • Mohammed A. Bouchelarm
    • 1
    • 2
  • Mohamed Mazari
    • 1
  • Noureddine Benseddiq
    • 2
  1. 1.Laboratoire de Matériaux et Systèmes Réactifs- LMSRUniversité Djillali LiabesSidi Bel-AbbesAlgeria
  2. 2.FRE 3723 - LML - Laboratoire de Mécanique de LilleUniv. LilleLilleFrance

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