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2 International Journal of Applied Mechanics and Engineering

2 2008

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Numerical investigation of bond-line stresses of tire tread section

Deb Nath S. K., Salam Akanda M. A., Reaz Ahmed S., Wahhaj Uddin M.

International Journal of Applied Mechanics and Engineering

2008

Vol. 13, no 1

43-61

A numerical investigation of stresses at the bond-line region (tread-casing interface) of retreated tire-tread sections has been presented. More specifically, considering the tire-tread section as a mixed-boundary value plane strain problem of elasticity, the distribution of different stress components are obtained taking special care of the associated boundary conditions. In order to obtain the present numerical solution, displacement potential formulation has been used in conjunction with the finite difference method of solution. In an attempt to simulate the service loading on the tread-section, the frictional no-slip condition of the contact boundary is used together with the uniform contact pressure from the road surface. Several tread aspect ratios are considered to investigate the influences of different geometrical parameters on the state of stresses along the influences of retreated tire sections. The results of the investigation are claimed to be highly accurate, and reliable, and thus, are expected to be used directly for actual design purposes.

Displacement potential approach to solution of stiffened orthotropic composite cantilever beams under combined loading

Deb Nath S. K.

International Journal of Applied Mechanics and Engineering

2008

Vol. 13, no 1

21-41

In this paper, a stiffened cantilever beam of orthotropic composite materials is considered in order to analyze the elastic field due to combined loading (i.e., parabolic shear and varying axial loading at the tip). The supporting edge of the beam is rigidly fixed. Fibers are directed along the length of the beam. Following a new approach of displacement potential, the mixed-boundary-value elastic problem is formulated in terms of a single potential function, ?. The solutions are obtained in the form of infinite series. Some numerical results of different stress and displacement components at different critical sections of the beam are presented in the form of graphs. The effects of the beam aspect ratio and material orthotropy on the stresses and displacements are investigated in details. The analytical results obtained by [...] formulation at a particular section of the beam are compared to those of FEM.