Abstract
In this work the J-integral is applied to calculate the energy release rate in simple beam and plate models. Four examples are considered: the mode-I double-cantilever beam, the mode-II end-notched flexure, the mixed-mode I/II single-leg bending specimens and a delaminated plate with simply-supported edges, respectively. In each example the details of calculation are given, in the latter case the distribution of the energy release rate along the crack front is calculated. While for delaminated beams the literature presents the energy release rates in numerous studies, the J-integral calculation is not trivial in theses cases. Moreover for delaminated bent plates the application of the J-integral is not documented. It is shown that considering the classical plate theory there are serious limitations to calculate representative energy release rates.
Highlights
The J-integral was developed in 1968 by Rice [1] to characterize the strain concentration around cracks and notches
The method was extended for orthotropic composite materials [2, 3] and 3D problems too [4,5,6]
5.4 Comparison of analytical and numerical results The mode-II, mode-III energy release rate (ERR) and the mode ratio along the crack front are shown by Fig. 9
Summary
The J-integral was developed in 1968 by Rice [1] to characterize the strain concentration around cracks and notches. The original definition of the integral is:. C where the parameters will be defined later. The method was extended for orthotropic composite materials [2, 3] and 3D problems too [4,5,6]. In the latter case the so-called Jk vector was defined: Jk = (Wnk − σi jui,kn j)ds+. Keywords composite · J-integral · beam theory · plate theory · energy release rate distribution
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
