Stress and fatigue life analyses of a five-piece rim and the proposed optimization with a two-piece rim

A five-piece rim and a two-piece bolt-connected rim were investigated to examine stress levels and fatigue lives on critical regions. The finite element models of the rim/tire assemblies were developed and validated through tire engineering data and previously validated modelling approaches. The rim/tire assemblies were simulated under two conditions, (1) application of a 23,100 kg static load followed by a 24.14 km/h travelling speed and an 82° wheel angle, and (2) application of a 26,900 kg static load followed by an 8.05 km/h travelling speed and an 82° wheel angle. The results revealed that travelling and steering speeds were the key factors in causing high stresses and bolt tension forces. Compared to the five-piece rim, the two-piece rim decreased the maximum stresses by over 30% for both loading conditions; consequently the fatigue lives were increased by over two orders of magnitude. The maximum bolt forces for the two-piece rim were estimated to be 195,680 N and 111,360 N separately.     

Stress concentration around a hole in a radially inhomogeneous plate

The stress concentration factor around a circular hole in an infinite plate subjected to uniform biaxial tension and pure shear is considered. The plate is made of a functionally graded material where both Young’s modulus and Poisson’s ratio vary in the radial direction. For plane stress conditions, the governing differential equation for the stress function is derived and solved. A general form for the stress concentration factor in case of biaxial tension is presented. Using a Frobenius series solution, the stress concentration factor is calculated for pure shear case. The stress concentration factor for uniaxial tension is then obtained by superposition of these two modes. The effect of nonhomogeneous stiffness and varying Poisson’s ratio upon the stress concentration factors are analyzed. A reasonable approximation in the practical range of Young’s modulus is obtained for the stress concentration factor in pure shear loading.     

Stress concentration in the moment theory of elasticity

A multimoment theory of elasticity of inhomogeneous media is used to develop algorithms for determining a sequence of essentially independent fundamental parameters associated with the structure, composition, and characteristics of the medium components. The general form of stress concentration factors is established by analyzing specific models of media. It is found that the mean tangential stresses in a fibrous medium with a transverse stress state are asymmetric. As an example, the methods are used to solve specific problems for plates and shells __________ Translated from Prikladnaya Mekhanika, Vol. 43, No. 1, pp. 66–76, January 2007.     

Stress concentration at the tip of crack

By means of the theory of nonlocal elasticity, the stress concentration is determined at the tip of crack subjected to a uniform tension perpendicular to the line of crack at infinity. The stress concentration is found to be finite and depends on the length of the crack.     

Stress concentration around a curvilinear hole in plates and shells

Azerbaidzhan Economic Institute, Baku. Translated from Prikladnaya Mekhanika, Vol. 27, No. 1, pp. 71–77, January, 1991.