Coarse-grained model of the J-integral of carbon nanotube reinforced polymer composites

Behrouz Arash, Harold S. Park, Timon Rabczuk

Research output: Contribution to journalArticlepeer-review

46 Citations (Scopus)


The J-integral is recognized as a fundamental parameter in fracture mechanics that characterizes the inherent resistance of materials to crack growth. However, the conventional methods to calculate the J-integral, which require knowledge of the exact position of a crack tip and the continuum fields around it, are unable to precisely measure the J-integral of polymer composites at the nanoscale. This work aims to propose an effective calculation method based on coarse-grained (CG) simulations for predicting the J-integral of carbon nanotube (CNT)/polymer composites. In the proposed approach, the J-integral is determined from the load displacement curve of a single specimen. The distinguishing feature of the method is the calculation of J-integral without need of information about the crack tip, which makes it applicable to complex polymer systems. The effects of the CNT weight fraction and covalent cross-links between the polymer matrix and nanotubes, and polymer chains on the fracture behavior of the composites are studied in detail. The dependence of the J-integral on the crack length and the size of representative volume element (RVE) is also explored.

Original languageEnglish
Pages (from-to)1084-1092
Number of pages9
Publication statusPublished - 2016 Jan

Bibliographical note

Publisher Copyright:
© 2015 Elsevier Ltd.

ASJC Scopus subject areas

  • General Chemistry
  • General Materials Science


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