Stress intensity factors for functionally graded solid cylinders

Abstract

This paper presents the mode I stress intensity factors for functionally graded solid cylinders with an embedded penny-shaped crack or an external circumferential crack. The solid cylinders are assumed under remote uniform tension. The multiple isoparametric ®nite element method is used. Various types of functionally graded materials and dierent gradient compositions for each type are investigated. The results show that the material property distribution has a quite considerable in¯uence on the stress intensity factors. The in¯uence for embedded cracks is quite dierent from that for external cracks.

Stress-intensity factors for surface cracks in functionally graded materials under mode-I thermomechanical loading

“…Previous applications of the DCT to 2-D models for FGMs include Li et al (1999), Marur and Tippur (2000), Rousseau and Tippur (2001) and Kim and Paulino (2002a). For an exponential material variation with E 2 =E 1 ¼ 5, Fig.…”

“…Analytical and numerical studies of fracture in FGMs reported in the literature focus primarily on plane stress, plane strain and axisymmetric configurations (Delale and Erdogan, 1983;Eischen, 1987;Konda and Erdogan, 1994;Dag et al, 1999;Li et al, 1999;Selvadurai, 2000). As understanding of the micromechanical behavior of crack growth in FGMs progresses, computational techniques enable the analysis of realistic configurations in three-dimensions for which analytical solutions do not exist.…”

On the non-Fourier thermal fracture of an edge-cracked cylindrical bar

“…A cylindrical bar having an infinite row of circumferential cracks under tension loading was considered by Nisitani and Noda [17]. The mode I SIF for a functionally graded solid cylinder with an embedded penny-shaped crack or a circumferential crack is studied by Li et al [18] with the multiple isoparametric finite element method. While the SIF for a mode I crack problem in a circumferentially cracked hollow cylinder was obtained by Erdol and Erdogan [19] for the stress-free lateral surface condition, the same problem for the stress-free inner surface and rigidly fixed outer surface condition was solved by Aydin and…”

Determining the mixed mode stress intensity factors of surface cracks in functionally graded hollow cylinders

“…Notice that this subject has been already addressed in both past and present works. Specifically, previous works focused on the analysis of mode I SIF of circumferential cracks located at the outer [30] or the inner [31] wall of the cylinder; more recently, semi-elliptical circumferential surface cracks in hollow cylinders subjected to internal pressure have been also analyzed [32]; the crack opening displacements was employed to extract the mixed mode SIFs.…”