Article: Oneida, EK; van der Meulen, MCH; Ingraffea, AR; (2015) “Method for Calculating G, G(I), and G(II) to Simulate Crack Growth in 2D, Multiple-material Structures”, Engineering Fracture Mechanics, 140:106-126
Abstract: A finite element approach for calculating the energy release rate (G) and individual modes (G(I) and G(II)) when simulating crack growth through a two-dimensional composite material is presented. A new mesh-substitution scheme is used with basic fracture mechanics concepts to automatically calculate G, G(I), and G(II) for potential growth along material interfaces and at different kink angles. The method is general and can be used when investigating interface cracks, substrate cracks (i.e., cracks contained in a material region), and substrate cracks with tips touching one or more interfaces. For bimaterial interface cracks, a coupled energy release rate (G(I-II)) is determined, and complex stress intensity factor components are calculated. A complete crack propagation framework, which includes the developed methods, is presented and then used to simulate crack growth through a composite material. (C) 2015 Elsevier Ltd. All rights reserved.
Funding Acknowledgement: Ross-Tetelman Scholarship at Cornell University; NIH [R01-AR053571]
Funding Text: The authors are grateful for the financial support provided by the Ross-Tetelman Scholarship at Cornell University and by NIH Grant R01-AR053571.