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Article Dans Une Revue Comptes Rendus. Mécanique Année : 2022

Asymptotic analysis of plates in static and dynamic strain gradient elasticity

Résumé

We 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 discussed while 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.
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hal-03763389 , version 1 (29-08-2022)

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Christian Licht, Thibaut Weller. Asymptotic analysis of plates in static and dynamic strain gradient elasticity. Comptes Rendus. Mécanique, 2022, 350 (G2), pp.325-342. ⟨10.5802/crmeca.118⟩. ⟨hal-03763389⟩
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