In this paper by applying a numerical method called “Dynamic Relaxation”, the bending analysis of multi-layer composite plates with different circular shapes is studied. To illustrate the performance of this method, some multi-layer composite plates with various geometrical shapes are analyzed. These various geometrical shapes include circular plates with special geometries such as including a hole or variable sections. Moreover, to demonstrate the accuracy level of this method, its results are compared with the other numerical methods such as Finite Element or analytical ones by considering the both cases of small and large deflections. The analytical results of this study show that the DR method has a high ability in bending analysis of multi-layer composite plates with complicated shapes (including discontinuities & variable sections) and in some cases, it is the only possible method of analysis.

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