Variational model for ionomeric polymer–metal composite

Governing equations for one-dimensional ionic polymer–metal composites are reviewed and then cast into the framework of a variational statement. Starting from a trial-Lagrangian, a generalized functional is derived through a systematic procedure of the semi-inverse method proposed by Ji-Huan He. All field equations and boundary conditions are cast into Euler equations of the obtained functional, leading to much convenience in incorporating analytical and numerical approaches.