Effective Methods to Determine Stress Intensity - myassignmenthelp

Question: Discuss about theEffective Methods to Determine Stress Intensity. Answer: In the study of metal cracking, one of the measures used in quantifying parameters and predicting the growth of cracks is the stress intensity factor (SIF). This is a factor that indicates the state of stress of a metal at the tip of the crack (Ka?ianauskas, Zenon, Ã… ½arnovskij, Stupak, 2005). SIF analysis is necessary when understanding the behaviour of loaded metal components of structures and their ultimate failure stresses and both 2D and 3D methods are available for carrying out the analysis. SIF Analysis is done by use of the Linear Elastic Fracture Mechanisms theory which is provided for cracks on a plane surface. The theory was first introduced by Westergaard in 1939 though later improved by Irwin in 1957. Using this theory, he developed the equation below: Where: a = length of the crack; = stress function for the stress field. Using this theory, it is possible to model three different surface conditions for tensile stressing, Modes I-III, that represent tension, in-planar shear and anti-planar shear respectively (Zhu Leis, 2014). For 2D analysis, the analysis is done on the plane where the x dimension is the direction of the crack while the y dimension is the crack height in a space considered an infinite length of the material. The thickness of this body and the shape of crack opening are not considered. The 3D analysis is more preferred however as cracks usually occur along this plane. The z dimension here is the direction of curve opening and it gives the curve thickness. Finite and boundary element methods are used to analyse cracks on a 3D surface (Gozin Aghaie-Khafri, 2012). References: Gozin, M., Aghaie-Khafri, M. (2012). 2D and 3D finite element analysis of crack growth under compressive residual stress field. International Journal of Solids and Structures, 49(23), 3316-3322. Retrieved from https://www.sciencedirect.com/science/article/pii/S0020768312002995 Ka?ianauskas, R., Zenon, M., Ã… ½arnovskij, V., Stupak, E. (2005). Three-dimensional Correction of the Stress Intensity Factor for Plate with a Notch. International Journal of Fracture, 136(1), 75-98. Zhu, X.-K., Leis, B. (2014). Effective Methods to Determine Stress Intensity Factors for 2D and 3D Cracks. Proceedings of the Biennial International Pipeline Conference (p. 2). IPC.