Green?s function for bending problem of an unsymmetrical laminated plate with bending-extension coupling containing an elliptic hole

Abstract

The Green’s function is derived for the bending problem of an unsymmetrical laminated infinite plate with bending-extension coupling. The plate contains a traction-free elliptic hole and is subjected to concentrated loads, particularly a normal point force. The modified complex-potential approach developed earlier for unsymmetrical laminated plates is applied in the investigation. The techniques of conformal mappings and Cauchy integral over the boundaries are used to derive the closed-form complex stress function.