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2 International Journal of Applied Mechanics and Engineering

2 2006

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Displacement potential solution of short stiffened flat composite bars under axial loading

Deb Nath S. K., Reaz Ahmed S., Afsar A. M.

International Journal of Applied Mechanics and Engineering

2006

Vol. 11, no 3

557-575

The present paper describes a new approach to analytical solution of two-dimensional stress problems of orthotropic composite materials. In this approach, the elastic problem is formulated in terms of a single potential function, defined in terms of the displacement components, which satisfies a single differential equation of equilibrium. The new mathematical model, namely, the displacement potential formulation is especially suitable for the solution of mixed-boundary-value elastic problems of orthotropic composite materials. This paper presents the solution of stresses and displacements at different sections of short stiffened flat composite bars under axial loading, where a number of bar aspect ratios are considered together with different materials of interest. The solutions are obtained in the form of infinite series and the results are presented mainly in the form of graphs. The results appear to be quite reasonable and accurate, and thus establish the soundness as well as reliability of the present displacement potential approach.

Analysis of stress intensity factors for a pair of edge cracks in semi-infinite medium with distributed eigenstrain

Afsar A. M., Ahmed S. R.

International Journal of Applied Mechanics and Engineering

2006

Vol. 11, no 2

269-287

This study analyzes stress intensity factors for a pair of edge cracks in a semi-infinite medium with a distribution of eigenstrain and subjected to a far field uniform applied load. The eigenstrain is considered to be distributed arbitrarily over a region of finite depth extending from the free surface. The cracks are represented by a distribution of edge dislocations. By using the complex potential functions of the edge dislocations, a simple effective method is developed to calculate the stress intensity factor for the edge cracks. The method is employed to obtain some numerical results of the stress intensity factor for different distributions of eigenstrain. The numerical results reveal that the stress intensity factor of the edge cracks is significantly influenced by the magnitude as well as distribution of eigenstrain within the finite depth. The eigenstrains that induce compressive stresses at and near the free surface of the semi-infinite medium reduce the stress intensity factor that, in turn, enhances the apparent fracture toughness of the material.