Nonlinear analysis of thick plates by HT FE approach

The paper presents a hybrid-Trefftz finite element (HT FE) model for the numerical solution of a nonlinear analysis of Reissner-Mindlin plates. Exact solutions of the Lame-Navier equations are used for representing the in-plane intraelement displacement field and an incremental form of the basic equations is adopted. With the aid of the incremental form of these equations, all nonlinear terms may be viewed as pseudo-loads, and then the coupling between in-plane and out-of-plane displacements is separated. As a result, the solution procedure for the nonlinear plate becomes very simple. The practical efficiency of the new element model has been assessed through several examples.

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