Abstract
Recently the authors have derived new types of path independent integrals in which the theoretical limitations of the so-called J integral are overcome. For elastodynamic crack problems, a path independent integral J' (dynamic J integral) which has the physical meaning of energy release rate was derived. Later the J' integral was extended to a more general form of the path independent integral T∗ (generalized J integral) which is valid for any constitutive relation under quasi-static as well as dynamic conditions. This paper presents recent developments in a series of studies on the T∗ integral in nonlinear and dynamic fracture mechanics. The first study concerns the behavior of the T∗ integral in an elastoplastic dynamic fracture initiation test specimen. The T∗ integral exhibits excellent path independency despite the impact loadings and large plastic deformations. The second study reveals the invariance of the T∗ integral with respect to the shapes and sizes of the fracture process zone. The last study shows the methodology of a direct measurement of the T∗ integral using the method of caustics (shadow pattern method). These results serve to illustrate the validity of the T∗ integral as a unified crack-tip parameter for various types of fracture mechanics problems.
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.
