The stress analysis of an ellipsoidal inhomogeneity in dissimilar media

Numerical analysis of the influence of distributed inhomogeneities on tangential fretting

“…where m f is the friction coefficient; A stick and A slip are the stick and slip areas identified between time t À 1 and t, respectively; the arrow above q or s indicates a vector; and F t x and F t y are the tangential loads in the x and y directions at time t. The CGM is employed to solve equations (6) and (7) with boundary conditions equations (8) and (9), and (10) to (12) enforced during each iteration. 31,32 The above solution scheme for solving homogeneous tangential contact has been verified.…”

“…This method was known as the equivalent inclusion method (EIM) and widely used to solve the stress field of an infinite space embedded with ellipsoidal inhomogeneities. [6][7][8] In recent years, taking the benefit of the method of images proposed by Chiu, 9 the EIM was extended to solve problems involving inhomogeneities within a semi-infinite medium 10 and further applied to heterogeneous contact problems, such as sliding contact, rolling contact, contact fatigue, etc. 2,11,12 Fretting is a significant failure mode occurs when two contact surfaces undergo a small amplitude oscillatory relative movement.…”

Analysis of hard coatings on a substrate containing inhomogeneities

“…These studies include a circular rigid disc [Hunter and Gamblen 1974;Selvadurai 2001], an ellipsoidal inhomogeneity [Tsuchida and Mura 1983], a hemispheroidal inhomogeneity [Kouris and Mura 1989], a spheroidal inhomogeneity [Tsuchida et al 2000], two concentric spherical inhomogeneities [Molchanov et al 2002], and one or multiple two-dimensional arbitrarily shaped inhomogeneities [Kuo 2007;2008] The boundary element method was used in these last two works, while the Papkovich-Neuber or the Boussinesq displacement potential was used to solve the problems in the other referred works. Studies were also performed on a single or multiple inhomogeneities in one of two joining half-surfaces of dissimilar materials, e.g., [Meguid and Zhu 1995;Yu and Kuang 2003;Brusselaars et al 2007]. The results of those studies can be applicable to the problems of inhomogeneities in a half-space when one of the two joining half-spaces is set free.…”