The well-known essential work of fracture model, describing the linear relationship between fracture energy and un-cracked ligament length, is further extended to allow for any non-linearity in the relationship as this can potentially lead to a large error in determination of the essential work of fracture. Two different polymers, described in the literature, were chosen to show how the essential work of fracture of a polymer can still be determined in cases when a non-linearity exists in the relationship between fracture energy and ligament length. The new model specifies the condition under which the linear relationship exists, and the condition under which the non-linearity needs to be considered. (c) 2005 Elsevier Ltd. All rights reserved.
Duan, K., Hu, X., & Stachowiak, G. (2006). Modified Essential Work of Fracture Model for Polymer Fracture. Composites Science and Technology, 66(16), 3172-3178. https://doi.org/10.1016/j.compscitech.2005.02.020