This study presents the free vibration analysis of a double tapered beam having linearly varying both thickness and width, by using finite element component mode synthesis methods. To determine natural frequency shape cracked beam, stiffness mass matrices have been obtained. The crack in is modeled as massless spring, divided into two subcomponents from section. spring has derived linear elasti...

[1] Propagation of water-filled crevasses through glaciers is investigated based on the linear elastic fracture mechanics approach. A crevasse will penetrate to the depth where the stress intensity factor at the crevasse tip equals the fracture toughness of glacier ice. A crevasse subjected to inflow of water will continue to propagate downward with the propagation speed controlled primarily by...

When a frictional interface is subject to a localized shear load, it is often (experimentally) observed that local slip events initiate at the stress concentration and propagate over parts of the interface by arresting naturally before reaching the edge. We develop a theoretical model based on linear elastic fracture mechanics to describe the propagation of such precursory slip. The model’s pre...

An infinite elastic medium with a planar crack is considered. The crack is subjected to the pressure of fluid injected at a point on the crack surface. Description of the crack growth is based on the lubrication equation (balance of the injected fluid and the crack volume), the equation for crack opening caused by fluid pressure on the crack surface, the Poiseuille equation related local fluid ...

In the present paper the damage of fiber-reinforced polymeric matrix laminates is considered with the aim to examine their mechanical properties. The damage mode in the form of intralaminar cracks (“primary matrix cracking”) is described in terms of second order, symmetrical damage tensor by Vakulenko and Kachanov. It allows for considering the orientation of the defects, which is determined by...