Journal article

Nonlinear weighted residual approach: application to laminated beams

A weighted residual formulation of equilibrium equations for nonlinear structural analysis is presented in material description. Starting from the strong form, the weak form is derived by means of a suitable choice of weighting functions. In order to get the tangent stiffness matrix of the finite element approximation, the weak form is first linearized and then discretized. This sequence is well suited when large displacement fields nonlinearly depend on degrees of freedom, which currently occurs in structures.


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