Abstract
In connection with the stress state of the discontinuous fiber reinforced composite materials or the finite cylinder inserted in a hole, we consider the problem of an infinite body under tension with a rigid cylindrical inclusion of finite length bonded to the inner surface of an infinite cylindrical cavity, within the framework of the three dimensional theory of elasticity. Dougall's stress functions are used and the method of Fourier transforms is applied to satisfy the boundary conditions. The dual integral equations thus obtained are reduced to a linear system of the simultaneous equations of infinite degree by assuming their solutions in a form of the infinite series with the stress singularities.
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