This paper presents a simple and accurate global-local method to calcu
late the static response of simply supported, composite plates with sm
all cracks. The approach primarily involves two steps. In the first st
ep a global approach, the Ritz method, is used to calculate the respon
se of the structure. Displacement based Ritz functions for the plate w
ithout the crack are augmented with a perturbation function, which is
accurate for isotropic plates only, to account for the crack. The Ritz
solution does not accurately satisfy the natural boundary conditions
at the crack boundary. Therefore, a second step, local in nature, is t
aken in which a small area in the vicinity of the crack and encompassi
ng other points of singularities, is discretized using a fine finite e
lement mesh. The displacement boundary conditions for the local region
are obtained from the global Ritz analysis. The methodology is applie
d for the local model including the crack. The proposed approach resul
ted in accurate prediction of stresses, with 85% savings in computatio
nal time and 92% in data storage for the analysis of composite flat pa
nels. (C) 1998 Elsevier Science Limited. All rights reserved.