Study about Fracture Mechanics and the root cause of fracture in order to estimates lifetime for Mechanical parts in designing process and manufacturing have tremendous role in this realm. Stress intensity factor comes into design which not only is dependent to geometry also extremely to load condition; for instance, it is important in failure processes (brittle and ductile Materials) or to pre...

The level-set method of Sussman et al. [J. Comput. Phys. 148 (1999) 81] is extended such that flows with multiple moving contact lines can be simulated, accounting for inertia, a relation between contact-line speed and contact angle, slip and contact-line hysteresis. The convergence properties of the method are investigated, with particular attention on the resolution of the contact-line stress...

The plane problem of a crack terminating at the interface of a bimaterial piezoelectl:ic, and loaded on its fa.ces, is treated. The emphasis is placed on how to transform this problem into a non-homogeneous Hilbert problem. To make the derivation tractable, the concept of the axial conjugate is introduced and related to the complex conjugate. The angle between the crack line and the interface m...

In this paper, the conformal mapping method was adopted to solve the problem of an infinite plate containing a central lip-shaped crack subjected to remote biaxial loading. A kind of leaf-shaped configuration was also constructed in order to solve the problem. The analytical result showed that the singularity order of the stress field at the tip of a lip-shaped crack remains −1/2, despite the d...

Sudden singularities occur in FRW spacetimes when the scale factor remains finite and different from zero while some of its derivatives diverge. After proper rescaling, the scale factor close to such a singularity at t = 0 takes the form a(t) = 1 + c|t| (where c and η are parameters and η ≥ 0). We investigate analytically and numerically the geodesics of free and gravitationally bound particles...

A thin, solid, circular wood disk, cut from the transverse plane of a tree stem, can be modeled as a cylindrically orthotropic elastic material. It is known that a stress singularity can occur at the center of a cylindrically orthotropic disk subjected to uniform pressure. If a solid cylindrically orthotropic disk is subjected to sinusoidal pressure distributions, then other stress singularitie...