Exponential Basis Functions in solution of laminated structures

In this paper a new method for solution of static two-dimensional laminates has been proposed. A series of Exponential Basis Functions (EBFs) have been used to satisfy the governing equations within each layer. Compatibility and equilibrium conditions at the interfaces of the layers, with isotropic or orthotropic properties, are rigorously satisfied through defining a characteristic problem. The solution of such a characteristic problem yields to a set of spectral basis functions through which one may obtain a clear insight to the modes governing the displacement field. For further use, we present simplified relations for single-layer and two-layer laminates. The boundary conditions at the ends of the laminate are satisfied by a suitable discrete transformation in a collocation style. With such an approach one can solve problems with variety of end conditions. Excellent agreement is observed between the results of this work and some benchmark problems. Some more problems are solved as new benchmarks for further studies.