Licht C.Weller T.Mahidol University2023-06-182023-06-182022-01-01Comptes Rendus - Mecanique Vol.350 (2022) , 325-34216310721https://repository.li.mahidol.ac.th/handle/20.500.14594/84625We study the steady-state and transient responses of a second-order elastic plate by implementing an asymptotic analysis of the three-dimensional equations with respect to two geometric characteristics seen as parameters: the thickness of the plate and an inner material length. Depending on their ratio, four different models arise. Conditions under which Reissner-Mindlin kinematics may appear are discussedwhile the influence of crystalline symmetries is studied. The transient situation is solved through Trotter's theory of approximation of semi-groups of operators acting on variable spaces.EngineeringArticleSCOPUS10.5802/crmeca.1182-s2.0-8513934986718737234