Abstract

Using an integral formulation, the equation for a plate subjected to periodic transverse vibrations of frequency ω and containing a crack of length 2 c, is solved for the Kirchhoff bending stresses. The usual inverse square root singular behavior of the stresses is recovered and may be related to that of non-vibrating cracked plate by ▪ where the function f(λ 4) attains positive values for small λ.

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