A series expression of deflection is presented which exactly satisfies the foundation equation of bending of symmetric crass-ply laminates,and the corresponding expressions of displacements,deformations and internal forces are derived in explicit form.The simplicity of the series makes all the derivation and the expressions simple.In general cases,the boundary conditions of the laminate can not be satisfied exactly by the series presented,but they can be satisfied approximately by the use of the discrete least squares.Because the series is proved to be complete in mathematics,if the laminate only occupies simply connected region and the number of boundary collocations is large enough,the series may approximate the exact solution of bending problem of symmetric cross-ply laminates under various boundary conditions including the cases that the edges are clamped,simply supported,and/or free.For nonsymmetric cross-ply laminates with many layers,the coupling between extension and bending is after negligible and the method can be still used as an approximation.A widely applicable program implemented with the use of micro-computer IBM.PC/XT has been written and certain laminates with different layes have been calculated.
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