Modeling of axisymmetric slow crack growth of high-density polyethylene with circular notched bar specimen using crack layer theory

Jung Wook Wee, Byoung Ho Choi

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


Because of the characteristic of high triaxial stress of a circular notched bar (CNB) specimen under tensile loads, it is a promising candidate for accelerated durability testing of high-density polyethylene (HDPE). To understand the slow crack growth (SCG) behavior of HDPE using a CNB specimen, it is practically important to base the evaluation of the SCG model using a CNB specimen on the concept of fracture mechanics. In this study, the SCG kinetics of HDPE with a CNB specimen is modeled on the basis of the concept of an axisymmetric crack layer (CL) system. CL theory is applied to the modeling of the axisymmetric SCG considering the geometry of the CNB specimen. Green's functions of the stress intensity factor and crack opening displacement of the CNB specimen are calculated in order to simulate the CL kinetics. The obtained Green's functions are also utilized to compute the thermodynamic forces for both the crack growth and the CL growth, and a generalized CL growth algorithm is developed. A parametric study of several key input parameters is conducted for validation of the developed CL model. In addition, actual SCG generated experimentally is simulated using the developed model, and it is found that the actual test results can be successfully simulated using the developed CL model.

Original languageEnglish
Pages (from-to)189-199
Number of pages11
JournalInternational Journal of Solids and Structures
Publication statusPublished - 2016 Oct 15

Bibliographical note

Funding Information:
This work was supported by the Nuclear Research and Development Program of the Korea Institute of Energy Technology Evaluation and Planning (KETEP) Grant funded by the Ministry of Trade, Industry and Energy of Korea (No. 20141510101640 ).

Publisher Copyright:
© 2016 Elsevier Ltd


  • Circular notched bar specimen
  • Crack layer theory
  • Green's function
  • High-density polyethylene
  • Slow crack growth

ASJC Scopus subject areas

  • Modelling and Simulation
  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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