Abstract
Brittle fracture in a solid in the form of crack growth is governed by the stress field around the crack tip and by parameters that describe the resistance of the material to crack growth. Thus, the analysis of stresses near the crack tip constitutes an essential part of fracture mechanics. There are three independent movements corresponding to three fundamental fracture modes. These basic fracture modes are usually called Mode I, Mode II, and Mode III, respectively, and any fracture mode in a cracked body may be described by one of the three basic modes, or their combinations. The three basic modes of crack deformation can be more precisely defined by the associated stresses ahead of the crack front, which are considered as the crack, tip in two-dimensional problems. In addition, method of complex potential for plane elasticity is discussed. Among various mathematical methods in plane elasticity, the complex potential function method by Kolosov and Muskhelishvili are one of the powerful and convenient methods to treat two-dimensional crack problems. In the complex potential method, stresses and displacements are expressed in terms of analytic functions of complex variables. The problem of obtaining stresses and displacements around a crack tip is converted to finding some analytic functions subjected to appropriate boundary conditions.
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.
