Abstract
This paper deals with the modeling of shape deviations (either imperfections or damage) in thin-walled plates and shells using finite elements together with perturbation techniques. Finite elements are used to obtain a discretization of the perfect structure, while perturbation techniques are employed to investigate the influence of damage in the original structure. Two cases are discussed in detail: the circular plate and the cylindrical shell. Orthotrophy and changes in the thickness are also included to model damage in the material if required. A number of boundary conditions and loads can be applied and the geometry of the shape deviation is specified in analytical form. The formation was implemented using a symbolic manipulator (MAPLE) to carry out computations. Details are given about how this is performed. The results show that good accuracy is obtained by comparison with other independent techniques.
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