Consistent derivation of stress-based generalized models in elastodynamics: Application to layerwise plate models

The derivation of some class generalized mechanical models relies on a specific stress expansion without any priori assumption the corresponding kinematics. In such situations, their extension to dynamic setting is not easy, especially when deriving inertias since kinematics unknown. This paper shows how consistent can be obtained through use complementary energy principle in elastodynamics. methodology then applied extend stress-based layerwise plate model setting. approach finally validated modal analysis various anisotropic composite laminates.