Journal of Materials Science

, Volume 46, Issue 24, pp 7901–7904 | Cite as

Essential work of fracture study of polymers: a novel criterion for the validation of tested ligament range

  • Ferenc TubaEmail author
  • László Oláh
  • Péter Nagy


The essential work of fracture method is widely used for the determination of fracture toughness of ductile metals and polymers under plane stress conditions. Nevertheless, this method has numerous prerequisites, which are easy to fulfill in metals, but are less certain in polymers. The aim of this study was, therefore, to present a simple, empiric “displacement-criterion” that helps the determination of valid ligament lengths for polymers—one of the biggest sources of error of this theory. This criterion not only facilitates the definition of a lower bound, but also helps the description of an upper ligament limit. Its other advantage is, that combined with a stress criterion, it helps the data validation not only until crack initiation, but also over the entire deformation process.


Linear Elastic Fracture Mechanic LLDPE Ligament Length Essential Work Fracture Work 



This study is connected to the scientific program of the “Development of quality-oriented and harmonized R+D+I strategy and functional model at BME” project. This project is supported by the New Széchenyi Plan (Project ID: TÁMOP-4.2.1/B-09/1/KMR-2010-0002).


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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of Polymer EngineeringBudapest University of Technology and EconomicsBudapestHungary
  2. 2.Institute for Chemistry and Technology of MaterialsGraz University of TechnologyGrazAustria
  3. 3.Polymer Competence Center Leoben GmbHLeobenAustria

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