
On the Dynamic Stress Concentrations
in Orthotropic Plates with an Arbitrary Cutout
Hu Chao, Ma Xingrui, Liu
Diankui, Huang Wenhu
(Harbin Institute of Technology, Harbin, 150001)
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Abstract: In this paper,
based on the governing equation for flexural waves of orthotropic plates, deals with
scattering of elastic wave by cutouts and dynamic stress con centrations in the thin
plate. A complex variable analytic method to solve stres s concentrations in the plate
with an arbitrary cutout is established. An asympt otic expansion solution and expression
fitting the boundary conditions on the edge of cutouts are obtained. Using the orthogonal
function expansion technique, the problem can be reduced to the solution of an infinite
algebraic equation series. Therefore the solution of the problem can be normalized by
means of this met hod.
Key words: scattering of flexural wave, ortho tropic plate,
asymptotic expansion solution, complex variable method and confor mal mapping, dynamic
stress concentration.