Finite Element Analysis of Deformation and Fracture of Cylindrical Tubes under Internal Moving Pressures

Abstract

This Chapter presents a review of the basic formulations, solution methods, and simulation procedures that are essential in the finite element analysis of deformation and fracture of cylindrical tubes under internal moving pressures. Such analyses are applicable to a number of theoretical and practical problems, like deformation and rupture of arteries due to blood flow, cyclic fracture of gas pipelines, vibrational behavior of pulse detonation engines, etc. However, the scope of this chapter is mostly concerned with high-speed moving pressures that can cause significant fluctuating stresses in the tube wall. Based on their relative magnitudes, these stresses can result in various types of mechanical failure such as: high cycle fatigue cracking (Mirzaei et al., 2006c), low cycle fatigue & dynamic tearing (Mirzaei, 2008a; 2009), and severe dynamic fragmentation (Price, 2006; Goto et al., 2008; Soto et al., 2010). It should be emphasized that finite element simulations of the above mentioned processes are rather difficult and not only involve judicial implementation of advanced finite element (FE) techniques but also require a clear understanding of the nature of the underlying deformation and fracture mechanisms. Hence, this chapter starts with a brief review of the basics of deformation and fracture mechanisms that are specific to this type of problems. In continuation, the pertinent FE formulations and solution methods are reviewed and a treatise of the relevant fracture mechanics parameters is presented. The final sections of this chapter are devoted to practical examples including the FE analyses of deformation and fracture of an experimental aluminum tube and an exploded steel cylinder.