Abstract

Using the methods of integral transforms and eigenfunction expansions, the plane elastodynamic problem of two circular holes in an infinite medium under the action of arbitrary transient loads is investigated in this paper. The problem is first reduced to a group of equations of infinite series in the Laplace transform domain which is then solved by a modified version of the Schmidt orthogonalization method. Via the numerical inversion of the Laplace transform the dynamic stress concentration factors which vary with time are obtained and presented in graphical form for various geometry parameters and types of transient loads. The effect of the distance between the two holes on the dynamic stress concentration factor is also discussed.

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